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Modulation Methods/Objectives of Modulation and Demodulation - Revision history
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https://en.lntwww.lnt.ei.tum.de/index.php?title=Modulation_Methods/Objectives_of_Modulation_and_Demodulation&diff=52043&oldid=prev
Hwang at 13:09, 23 January 2023
2023-01-23T13:09:37Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 15:09, 23 January 2023</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*A common problem is that the channel is often unsuitable for direct transmission of the source signal&nbsp;$q(t)$&nbsp;because it contains&nbsp; "inconvenient frequencies".&nbsp; For example,&nbsp; a music signal with frequencies up to about $\text{15 kHz}$&nbsp; cannot be transmitted directly by radio,&nbsp; since radio propagation is only possible from around $\text{100 kHz}$.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*A common problem is that the channel is often unsuitable for direct transmission of the source signal&nbsp;$q(t)$&nbsp;because it contains&nbsp; "inconvenient frequencies".&nbsp; For example,&nbsp; a music signal with frequencies up to about $\text{15 kHz}$&nbsp; cannot be transmitted directly by radio,&nbsp; since radio propagation is only possible from around $\text{100 kHz}$.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*The only solution here is a signal conversion at the transmitter known as&nbsp; &raquo;'''modulation'''&laquo;.&nbsp; The output signal of the modulator will be uniformly referred to as the <del style="font-weight: bold; text-decoration: none;">transmission </del>signal &nbsp;$s(t)$&nbsp; in the following.&nbsp; This is generally at higher frequencies than the source signal &nbsp;$q(t)$. </div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*The only solution here is a signal conversion at the transmitter known as&nbsp; &raquo;'''modulation'''&laquo;.&nbsp; The output signal of the modulator will be uniformly referred to as the <ins style="font-weight: bold; text-decoration: none;">transmitted </ins>signal &nbsp;$s(t)$&nbsp; in the following.&nbsp; This is generally at higher frequencies than the source signal &nbsp;$q(t)$. </div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*The signal reset at the receiver to recover the low-frequency sink signal &nbsp;$v(t) ≈ q(t)$&nbsp; from the high-frequency received signal &nbsp;$r(t)$&nbsp; is called&nbsp; &raquo;'''demodulation'''&laquo;.&nbsp; With real channels, the desired result&nbsp;$v(t) \equiv q(t)$&nbsp; is not possible due to the noise &nbsp;$n(t)$&nbsp; that is always present. </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*The signal reset at the receiver to recover the low-frequency sink signal &nbsp;$v(t) ≈ q(t)$&nbsp; from the high-frequency received signal &nbsp;$r(t)$&nbsp; is called&nbsp; &raquo;'''demodulation'''&laquo;.&nbsp; With real channels, the desired result&nbsp;$v(t) \equiv q(t)$&nbsp; is not possible due to the noise &nbsp;$n(t)$&nbsp; that is always present. </div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The diagram illustrates the situation. &nbsp;$K$&nbsp; signals are to be transmitted simultaneously via a physical channel of appropriate bandwidth.&nbsp; The subchannels &nbsp; (German:&nbsp; "Teilkanäle" &nbsp; &rArr; "T")&nbsp; are marked here with &nbsp;$T_1$, ... , $T_K$&nbsp;.&nbsp; One proceeds as follows:</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The diagram illustrates the situation. &nbsp;$K$&nbsp; signals are to be transmitted simultaneously via a physical channel of appropriate bandwidth.&nbsp; The subchannels &nbsp; (German:&nbsp; "Teilkanäle" &nbsp; &rArr; "T")&nbsp; are marked here with &nbsp;$T_1$, ... , $T_K$&nbsp;.&nbsp; One proceeds as follows:</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*One modulates the source signals &nbsp;$q_1(t)$, &nbsp;$q_2(t)$, ... , &nbsp;$q_k(t)$, ... , &nbsp;$q_K(t)$&nbsp; of users with different carrier frequencies&nbsp; $f_1$, &nbsp;$f_2$, ... , &nbsp;$f_K$.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*One modulates the source signals &nbsp;$q_1(t)$, &nbsp;$q_2(t)$, ... , &nbsp;$q_k(t)$, ... , &nbsp;$q_K(t)$&nbsp; of users with different carrier frequencies&nbsp; $f_1$, &nbsp;$f_2$, ... , &nbsp;$f_K$.</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*One combines the <del style="font-weight: bold; text-decoration: none;">transmission </del>signals &nbsp;$s_1(t)$, &nbsp;$s_2(t)$, ... , &nbsp;$s_k(t)$, ... , &nbsp;$s_K(t)$&nbsp; to form a total signal 𝑠(𝑡),&nbsp; enabling multiple use of the transmission set-up.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*One combines the <ins style="font-weight: bold; text-decoration: none;">transmitted </ins>signals &nbsp;$s_1(t)$, &nbsp;$s_2(t)$, ... , &nbsp;$s_k(t)$, ... , &nbsp;$s_K(t)$&nbsp; to form a total signal 𝑠(𝑡),&nbsp; enabling multiple use of the transmission set-up.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*To demodulate the signal &nbsp;$s_k(t)$,&nbsp; one uses the special carrier frequency &nbsp;$f_k$.&nbsp; Subsequent filtering achieves &nbsp; $v_k(t) = q_k(t)$,&nbsp; but only with negligible noise.&nbsp; This process is called&nbsp; &raquo;'''channel separation'''&laquo;.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*To demodulate the signal &nbsp;$s_k(t)$,&nbsp; one uses the special carrier frequency &nbsp;$f_k$.&nbsp; Subsequent filtering achieves &nbsp; $v_k(t) = q_k(t)$,&nbsp; but only with negligible noise.&nbsp; This process is called&nbsp; &raquo;'''channel separation'''&laquo;.</div></td></tr>
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Hwang
https://en.lntwww.lnt.ei.tum.de/index.php?title=Modulation_Methods/Objectives_of_Modulation_and_Demodulation&diff=51783&oldid=prev
Guenter at 12:56, 13 January 2023
2023-01-13T12:56:25Z
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># &raquo;linear" and&nbsp; &raquo;non-linear distortions&laquo;&nbsp; due to modulation/demodulation,</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># &raquo;linear" and&nbsp; &raquo;non-linear distortions&laquo;&nbsp; due to modulation/demodulation,</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># degradation in the presence of&nbsp; &raquo;stochastic interference&laquo;,&nbsp; such as&nbsp; &raquo;noise&laquo;, </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># degradation in the presence of&nbsp; &raquo;stochastic interference&laquo;,&nbsp; such as&nbsp; &raquo;noise&laquo;, </div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div># a&nbsp; &raquo;unified model&<del style="font-weight: bold; text-decoration: none;">Laquo</del>;&nbsp; for describing of amplitude and angle modulation,</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div># a&nbsp; &raquo;unified model&<ins style="font-weight: bold; text-decoration: none;">laquo</ins>;&nbsp; for describing of amplitude and angle modulation,</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div># descriptions using the&nbsp; &raquo;analytical signal<del style="font-weight: bold; text-decoration: none;">"</del>&nbsp; and the&nbsp; <del style="font-weight: bold; text-decoration: none;">"</del>equivalent low&ndash;pass signal<del style="font-weight: bold; text-decoration: none;">"</del>.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div># descriptions using the&nbsp; &raquo;analytical signal<ins style="font-weight: bold; text-decoration: none;">&laquo;</ins>&nbsp; and the&nbsp; <ins style="font-weight: bold; text-decoration: none;">&raquo;</ins>equivalent low&ndash;pass signal<ins style="font-weight: bold; text-decoration: none;">&laquo;</ins>.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==The communication system under consideration ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==The communication system under consideration ==</div></td></tr>
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Guenter
https://en.lntwww.lnt.ei.tum.de/index.php?title=Modulation_Methods/Objectives_of_Modulation_and_Demodulation&diff=51782&oldid=prev
Guenter at 10:52, 13 January 2023
2023-01-13T10:52:43Z
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>This chapter deals in detail with:</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>This chapter deals in detail with:</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">* </del>the&nbsp; <del style="font-weight: bold; text-decoration: none;">"</del>objectives<del style="font-weight: bold; text-decoration: none;">"</del>&nbsp; of modulation and demodulation,</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"># </ins>the&nbsp; <ins style="font-weight: bold; text-decoration: none;">&raquo;</ins>objectives<ins style="font-weight: bold; text-decoration: none;">&laquo;</ins>&nbsp; of modulation and demodulation,</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">* </del>the&nbsp; <del style="font-weight: bold; text-decoration: none;">"</del>differences and similarities<del style="font-weight: bold; text-decoration: none;">"</del>&nbsp; between analog and digital modulation techniques,</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"># </ins>the&nbsp; <ins style="font-weight: bold; text-decoration: none;">&raquo;</ins>differences and similarities<ins style="font-weight: bold; text-decoration: none;">&laquo;</ins>&nbsp; between analog and digital modulation techniques,</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">* </del>the&nbsp; <del style="font-weight: bold; text-decoration: none;">"</del>signal-to-noise power ratio<del style="font-weight: bold; text-decoration: none;">"</del>&nbsp; as a very general quality criterion,</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"># </ins>the&nbsp; <ins style="font-weight: bold; text-decoration: none;">&raquo;</ins>signal-to-noise power ratio<ins style="font-weight: bold; text-decoration: none;">&laquo;</ins>&nbsp; as a very general quality criterion,</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">* "</del>linear" and&nbsp; <del style="font-weight: bold; text-decoration: none;">"</del>non-linear distortions<del style="font-weight: bold; text-decoration: none;">"</del>&nbsp; due to modulation/demodulation,</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"># &raquo;</ins>linear" and&nbsp; <ins style="font-weight: bold; text-decoration: none;">&raquo;</ins>non-linear distortions<ins style="font-weight: bold; text-decoration: none;">&laquo;</ins>&nbsp; due to modulation/demodulation,</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">* </del>degradation in the presence of&nbsp; <del style="font-weight: bold; text-decoration: none;">"</del>stochastic interference<del style="font-weight: bold; text-decoration: none;">"</del>,&nbsp; such as&nbsp; <del style="font-weight: bold; text-decoration: none;">"</del>noise<del style="font-weight: bold; text-decoration: none;">"</del>, </div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"># </ins>degradation in the presence of&nbsp; <ins style="font-weight: bold; text-decoration: none;">&raquo;</ins>stochastic interference<ins style="font-weight: bold; text-decoration: none;">&laquo;</ins>,&nbsp; such as&nbsp; <ins style="font-weight: bold; text-decoration: none;">&raquo;</ins>noise<ins style="font-weight: bold; text-decoration: none;">&laquo;</ins>, </div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">* </del>a&nbsp; <del style="font-weight: bold; text-decoration: none;">"</del>unified model<del style="font-weight: bold; text-decoration: none;">"</del>&nbsp; for describing of amplitude and angle modulation,</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"># </ins>a&nbsp; <ins style="font-weight: bold; text-decoration: none;">&raquo;</ins>unified model<ins style="font-weight: bold; text-decoration: none;">&Laquo;</ins>&nbsp; for describing of amplitude and angle modulation,</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">* </del>descriptions using the&nbsp; <del style="font-weight: bold; text-decoration: none;">"</del>analytical signal"&nbsp; and the&nbsp; "equivalent low&ndash;pass signal".</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"># </ins>descriptions using the&nbsp; <ins style="font-weight: bold; text-decoration: none;">&raquo;</ins>analytical signal"&nbsp; and the&nbsp; "equivalent low&ndash;pass signal".</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==The communication system under consideration ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==The communication system under consideration ==</div></td></tr>
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Guenter
https://en.lntwww.lnt.ei.tum.de/index.php?title=Modulation_Methods/Objectives_of_Modulation_and_Demodulation&diff=51772&oldid=prev
Guenter at 16:49, 12 January 2023
2023-01-12T16:49:28Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 18:49, 12 January 2023</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File:EN_Mod_T_1_1_S4b_neu.png|right|frame|Example signals for analog and digital amplitude modulation]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File:EN_Mod_T_1_1_S4b_neu.png|right|frame|Example signals for analog and digital amplitude modulation]]</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*In the analog transmission system (above), the information about the analog source signal &nbsp;$q(t)$&nbsp; is directly in the amplitude (envelope) of the modulated signal &nbsp;$s(t)$.&nbsp; This is the analog modulation method [[Modulation_Methods/Double-Sideband_Amplitude_Modulation#Double-Sideband_Amplitude_Modulation_with_carrier|<del style="font-weight: bold; text-decoration: none;">$\text{</del>double-sideband amplitude modulation&nbsp; $\text{(DSB&<del style="font-weight: bold; text-decoration: none;">ndash</del>;<del style="font-weight: bold; text-decoration: none;">AM</del>)}$&nbsp; (<del style="font-weight: bold; text-decoration: none;">with carrier</del>)<del style="font-weight: bold; text-decoration: none;">}</del>$<del style="font-weight: bold; text-decoration: none;">]]</del>.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*In the analog transmission system (above), the information about the analog source signal &nbsp;$q(t)$&nbsp; is directly in the amplitude (envelope) of the modulated signal &nbsp;$s(t)$.&nbsp; This is the analog modulation method<ins style="font-weight: bold; text-decoration: none;">&nbsp; </ins>[[Modulation_Methods/Double-Sideband_Amplitude_Modulation#Double-Sideband_Amplitude_Modulation_with_carrier|<ins style="font-weight: bold; text-decoration: none;">"</ins>double-sideband amplitude modulation <ins style="font-weight: bold; text-decoration: none;">with carrier"]] &nbsp; &rArr; </ins>&nbsp; $\text{(DSB<ins style="font-weight: bold; text-decoration: none;">-AM)}$.</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">*The bottom graph refers to&nbsp; [[Modulation_Methods/Linear_Digital_Modulation#ASK_.E2.80.93_Amplitude_Shift_Keying|"Amplitude Shift Keying"]]</ins>&<ins style="font-weight: bold; text-decoration: none;">nbsp</ins>; <ins style="font-weight: bold; text-decoration: none;">$\rm (ASK</ins>)<ins style="font-weight: bold; text-decoration: none;">$,&nbsp; the digital variant of amplitude modulation.&nbsp; Here, the modulator input signal &nbsp;$q_{\rm D</ins>}<ins style="font-weight: bold; text-decoration: none;">(t)</ins>$&nbsp; <ins style="font-weight: bold; text-decoration: none;">is digital and derived from the analog source signal&nbsp; $q</ins>(<ins style="font-weight: bold; text-decoration: none;">t</ins>)$<ins style="font-weight: bold; text-decoration: none;">&nbsp; by sampling, quantization, and PCM encoding</ins>.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">*The bottom graph refers to&nbsp; [[Modulation_Methods/Linear_Digital_Modulation#ASK_.E2.80.93_Amplitude_Shift_Keying|$\text{Amplitude Shift Keying}$]]&nbsp; $\rm (ASK)$,&nbsp; the digital variant of amplitude modulation.&nbsp; Here, the modulator input signal &nbsp;$q_{\rm D}(t)$&nbsp; is digital and derived from the analog source signal&nbsp; $q(t)$&nbsp; by sampling, quantization, and PCM encoding.</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*The modulated signal &nbsp;$s(t)$&nbsp; shows that the modulator also has similar functionality in the digital transmission system as in the&nbsp; (above)&nbsp; analog transmission system.}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*The modulated signal &nbsp;$s(t)$&nbsp; shows that the modulator also has similar functionality in the digital transmission system as in the&nbsp; (above)&nbsp; analog transmission system.}}</div></td></tr>
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Guenter
https://en.lntwww.lnt.ei.tum.de/index.php?title=Modulation_Methods/Objectives_of_Modulation_and_Demodulation&diff=51771&oldid=prev
Guenter at 16:40, 12 January 2023
2023-01-12T16:40:15Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 18:40, 12 January 2023</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br>The two block diagrams illustrate the main differences between an analog and a digital transmission system.&nbsp; It becomes clear that: </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br>The two block diagrams illustrate the main differences between an analog and a digital transmission system.&nbsp; It becomes clear that: </div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*In analog modulation, the modulating <del style="font-weight: bold; text-decoration: none;">'''KORREKTUR: </del>source<del style="font-weight: bold; text-decoration: none;">?''' </del>signal &nbsp;$q(t)$&nbsp; is always an analog signal and thus both continuous in value and in time.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*In analog modulation,<ins style="font-weight: bold; text-decoration: none;">&nbsp; </ins>the modulating source signal &nbsp;$q(t)$&nbsp; is always an analog signal and thus both continuous in value and in time.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*In contrast, in digital modulation, the modulator's input signal &nbsp;$q_{\rm D}(t)$&nbsp; is always digital, thus both discrete in value and discrete in time.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*In contrast, in digital modulation, the modulator's input signal &nbsp;$q_{\rm D}(t)$&nbsp; is always digital, thus both discrete in value and discrete in time.</div></td></tr>
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Guenter
https://en.lntwww.lnt.ei.tum.de/index.php?title=Modulation_Methods/Objectives_of_Modulation_and_Demodulation&diff=51515&oldid=prev
Hwang at 15:45, 2 January 2023
2023-01-02T15:45:15Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 17:45, 2 January 2023</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*The user signals&nbsp; $q_1(t)$,&nbsp; $q_2(t)$&nbsp; and&nbsp; $q_3(t)$&nbsp; are binary and are fully characterized by amplitude coefficients&nbsp; $(0$&nbsp; or&nbsp; $1)$. &nbsp; A&nbsp; [[Signal_Representation/Time_Discrete_Signal_Representation|$\text{time-discrete signal representation}$]]&nbsp; is present &nbsp; $($symbol duration &nbsp;$T = 1\ \rm &micro; s)$. </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*The user signals&nbsp; $q_1(t)$,&nbsp; $q_2(t)$&nbsp; and&nbsp; $q_3(t)$&nbsp; are binary and are fully characterized by amplitude coefficients&nbsp; $(0$&nbsp; or&nbsp; $1)$. &nbsp; A&nbsp; [[Signal_Representation/Time_Discrete_Signal_Representation|$\text{time-discrete signal representation}$]]&nbsp; is present &nbsp; $($symbol duration &nbsp;$T = 1\ \rm &micro; s)$. </div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* For the bit rates of the first two signals, &nbsp;$R_1 = R_2 = 1/T = \text{1 Mbit/s}$<del style="font-weight: bold; text-decoration: none;">.</del>&nbsp; applies in each case.&nbsp; In contrast,&nbsp; the bit rate of &nbsp;$q_3(t)$&nbsp; is twice as large, i.e. &nbsp; $R_3 = \text{2 Mbit/s}$.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* For the bit rates of the first two signals, &nbsp;$R_1 = R_2 = 1/T = \text{1 Mbit/s}$&nbsp; applies in each case.&nbsp; In contrast,&nbsp; the bit rate of &nbsp;$q_3(t)$&nbsp; is twice as large, i.e. &nbsp; $R_3 = \text{2 Mbit/s}$.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*The common time-division multiplexed output signal &nbsp;$q(t)$&nbsp; is shown below.&nbsp; The reference to the input signals is color-coded.&nbsp; The total bit rate is &nbsp;$R = R_1 + R_2 + R_3 = \text{4 Mbit/s}$.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*The common time-division multiplexed output signal &nbsp;$q(t)$&nbsp; is shown below.&nbsp; The reference to the input signals is color-coded.&nbsp; The total bit rate is &nbsp;$R = R_1 + R_2 + R_3 = \text{4 Mbit/s}$.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*After transmitting &nbsp;$q(t)$&nbsp; via the physical channel,&nbsp; the partial signals &nbsp;$v_1(t)$, ... ,&nbsp; $v_3(t)$&nbsp; are separated again at the receiver.&nbsp; This functional unit is called&nbsp; "demultiplexer". </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*After transmitting &nbsp;$q(t)$&nbsp; via the physical channel,&nbsp; the partial signals &nbsp;$v_1(t)$, ... ,&nbsp; $v_3(t)$&nbsp; are separated again at the receiver.&nbsp; This functional unit is called&nbsp; "demultiplexer". </div></td></tr>
</table>
Hwang
https://en.lntwww.lnt.ei.tum.de/index.php?title=Modulation_Methods/Objectives_of_Modulation_and_Demodulation&diff=51514&oldid=prev
Hwang at 15:36, 2 January 2023
2023-01-02T15:36:22Z
<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 17:36, 2 January 2023</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br>The two block diagrams illustrate the main differences between an analog and a digital transmission system.&nbsp; It becomes clear that: </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br>The two block diagrams illustrate the main differences between an analog and a digital transmission system.&nbsp; It becomes clear that: </div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*In analog modulation, the modulating '''KORREKTUR: <del style="font-weight: bold; text-decoration: none;">modulated</del>?''' signal &nbsp;$q(t)$&nbsp; is always an analog signal and thus both continuous in value and in time.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*In analog modulation, the modulating '''KORREKTUR: <ins style="font-weight: bold; text-decoration: none;">source</ins>?''' signal &nbsp;$q(t)$&nbsp; is always an analog signal and thus both continuous in value and in time.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*In contrast, in digital modulation, the modulator's input signal &nbsp;$q_{\rm D}(t)$&nbsp; is always digital, thus both discrete in value and discrete in time.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*In contrast, in digital modulation, the modulator's input signal &nbsp;$q_{\rm D}(t)$&nbsp; is always digital, thus both discrete in value and discrete in time.</div></td></tr>
</table>
Hwang
https://en.lntwww.lnt.ei.tum.de/index.php?title=Modulation_Methods/Objectives_of_Modulation_and_Demodulation&diff=51513&oldid=prev
Hwang at 15:35, 2 January 2023
2023-01-02T15:35:16Z
<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 17:35, 2 January 2023</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l112">Line 112:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br>The two block diagrams illustrate the main differences between an analog and a digital transmission system.&nbsp; It becomes clear that: </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br>The two block diagrams illustrate the main differences between an analog and a digital transmission system.&nbsp; It becomes clear that: </div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*In analog modulation, the modulating signal &nbsp;$q(t)$&nbsp; is always an analog signal and thus both continuous in value and in time.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*In analog modulation, the modulating <ins style="font-weight: bold; text-decoration: none;">'''KORREKTUR: modulated?''' </ins>signal &nbsp;$q(t)$&nbsp; is always an analog signal and thus both continuous in value and in time.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*In contrast, in digital modulation, the modulator's input signal &nbsp;$q_{\rm D}(t)$&nbsp; is always digital, thus both discrete in value and discrete in time.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*In contrast, in digital modulation, the modulator's input signal &nbsp;$q_{\rm D}(t)$&nbsp; is always digital, thus both discrete in value and discrete in time.</div></td></tr>
</table>
Hwang
https://en.lntwww.lnt.ei.tum.de/index.php?title=Modulation_Methods/Objectives_of_Modulation_and_Demodulation&diff=51512&oldid=prev
Hwang at 15:31, 2 January 2023
2023-01-02T15:31:50Z
<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 17:31, 2 January 2023</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l116">Line 116:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*In contrast, in digital modulation, the modulator's input signal &nbsp;$q_{\rm D}(t)$&nbsp; is always digital, thus both discrete in value and discrete in time.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*In contrast, in digital modulation, the modulator's input signal &nbsp;$q_{\rm D}(t)$&nbsp; is always digital, thus both discrete in value and discrete in time.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*When digitally modulating an analog audio or video signal &nbsp;$q(t)$,&nbsp; it must first be&nbsp; $\rm A/D$&nbsp; converted: &nbsp; $q(t) \ \rightarrow \ q_{\rm D}(t)$.&nbsp; This is referred to as&nbsp; [[Modulation_Methods/Pulse_Code_Modulation|$\text{pulse code modulation}$]].&nbsp; This requires the following actions on the transmission side: &nbsp;[[Modulation_Methods/Pulse_Code_Modulation#<del style="font-weight: bold; text-decoration: none;">Abtastung_und_Signalrekonstruktion</del>|$\text{sampling}$]]&nbsp; –&nbsp; [[Modulation_Methods/Pulse_Code_Modulation#<del style="font-weight: bold; text-decoration: none;">Quantisierung_und_Quantisierungsrauschen</del>|$\text{quantization}$]]&nbsp; –&nbsp; [[Modulation_Methods/Pulse_Code_Modulation#<del style="font-weight: bold; text-decoration: none;">PCM.E2.80.93Codierung_und_.E2.80.93Decodierung</del>|$\text{PCM encoding}$]]. </div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*When digitally modulating an analog audio or video signal &nbsp;$q(t)$,&nbsp; it must first be&nbsp; $\rm A/D$&nbsp; converted: &nbsp; $q(t) \ \rightarrow \ q_{\rm D}(t)$.&nbsp; This is referred to as&nbsp; [[Modulation_Methods/Pulse_Code_Modulation|$\text{pulse code modulation}$]].&nbsp; This requires the following actions on the transmission side: &nbsp;[[Modulation_Methods/Pulse_Code_Modulation#<ins style="font-weight: bold; text-decoration: none;">Sampling_and_signal_reconstruction</ins>|$\text{sampling}$]]&nbsp; –&nbsp; [[Modulation_Methods/Pulse_Code_Modulation#<ins style="font-weight: bold; text-decoration: none;">Quantization_and_quantization_noise</ins>|$\text{quantization}$]]&nbsp; –&nbsp; [[Modulation_Methods/Pulse_Code_Modulation#<ins style="font-weight: bold; text-decoration: none;">PCM_encoding_and_decoding</ins>|$\text{PCM encoding}$]]. </div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*Functionally, the modulator of the digital system&nbsp; $\rm (Mod)$&nbsp; does not differ from the modulator of the analog transmission system.&nbsp; But the two demodulators differ in principle: </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*Functionally, the modulator of the digital system&nbsp; $\rm (Mod)$&nbsp; does not differ from the modulator of the analog transmission system.&nbsp; But the two demodulators differ in principle: </div></td></tr>
</table>
Hwang