Applets:Sampling of Analog Signals and Signal Reconstruction - Revision history

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2026-03-16T13:49:05Z

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← Older revision		Revision as of 15:49, 16 March 2026
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	*The  '''Dirac delta pulse (in the time domain)'''  consists of infinitely many Dirac delta pulses, each equally spaced  $T_{\rm A}$  and all with equal pulse weight  $T_{\rm A}$:		*The  '''Dirac delta pulse (in the time domain)'''  consists of infinitely many Dirac delta pulses, each equally spaced  $T_{\rm A}$  and all with equal pulse weight  $T_{\rm A}$:

	:$$p_{\delta}(t) = \sum_{\nu = - \infty }^{+\infty} T_{\rm A} \cdot		:$$p_{\delta}(t) = \sum_{\nu = - \infty }^{+\infty} T_{\rm A} \cdot\delta(t- \nu \cdot T_{\rm A})\hspace{0.05cm}.$$}}
	\delta(t- \nu \cdot T_{\rm A}
	)\hspace{0.05cm}.$$}}


	Based on this definition, the following properties result for the sampled signal:		Based on this definition, the following properties result for the sampled signal:
	:$$x_{\rm A}(t) = \sum_{\nu = - \infty }^{+\infty} T_{\rm A} \cdot x(\nu \cdot T_{\rm A})\cdot		:$$x_{\rm A}(t) = \sum_{\nu = - \infty }^{+\infty} T_{\rm A} \cdot x(\nu \cdot T_{\rm A})\cdot\delta (t- \nu \cdot T_{\rm A})\hspace{0.05cm}.$$
	\delta (t- \nu \cdot T_{\rm A}
	)\hspace{0.05cm}.$$

	*The sampled signal at the considered time  $(\nu \cdot T_{\rm A})$  ist gleich  $T_{\rm A} \cdot x(\nu \cdot T_{\rm A}) · \delta (0)$.		*The sampled signal at the considered time  $(\nu \cdot T_{\rm A})$  ist gleich  $T_{\rm A} \cdot x(\nu \cdot T_{\rm A}) · \delta (0)$.
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	The spectrum of the sampled signal  $x_{\rm A}(t)$  is obtained by applying the  [[Signal_Representation/The_Convolution_Theorem_and_Operation#Convolution_in_the_frequency_domain\|"Convolution Theorem".]] This states that multiplication in the time domain corresponds to convolution in the spectral domain:		The spectrum of the sampled signal  $x_{\rm A}(t)$  is obtained by applying the  [[Signal_Representation/The_Convolution_Theorem_and_Operation#Convolution_in_the_frequency_domain\|"Convolution Theorem".]] This states that multiplication in the time domain corresponds to convolution in the spectral domain:

	:$$x_{\rm A}(t) = x(t) \cdot p_{\delta}(t)\hspace{0.2cm}\circ\!\!-\!\!\!-\!\!\!-\!\!\bullet\, \hspace{0.2cm}		:$$x_{\rm A}(t) = x(t) \cdot p_{\delta}(t)\hspace{0.2cm}\circ\!\!-\!\!\!-\!\!\!-\!\!\bullet\, \hspace{0.2cm}X_{\rm A}(f) = X(f) \star P_{\delta}(f)\hspace{0.05cm}.$$
	X_{\rm A}(f) = X(f) \star P_{\delta}(f)\hspace{0.05cm}.$$

	If one develops the  Dirac delta pulse  $p_{\delta}(t)$   (in the time domain)   into a  [[Signal_Representation/Fourier_Series\|"Fourier Series"]]  and transforms it using the  [[Signal_Representation/The_Fourier_Transform_Theorems#Shifting_Theorem\|"Shifting Theorem"]]  into the frequency domain, the following correspondence   ⇒   [[Signal_Representation/Discrete-Time_Signal_Representation#Dirac_comb_in_time_and_frequency_domain\|"proof"]] results with the distance  $f_{\rm A} = 1/T_{\rm A}$  of two adjacent dirac delta lines in the frequency domain:		If one develops the  Dirac delta pulse  $p_{\delta}(t)$   (in the time domain)   into a  [[Signal_Representation/Fourier_Series\|"Fourier Series"]]  and transforms it using the  [[Signal_Representation/The_Fourier_Transform_Theorems#Shifting_Theorem\|"Shifting Theorem"]]  into the frequency domain, the following correspondence   ⇒   [[Signal_Representation/Discrete-Time_Signal_Representation#Dirac_comb_in_time_and_frequency_domain\|"proof"]] results with the distance  $f_{\rm A} = 1/T_{\rm A}$  of two adjacent dirac delta lines in the frequency domain:

	:$$p_{\delta}(t) = \sum_{\nu = - \infty }^{+\infty} T_{\rm A} \cdot		:$$p_{\delta}(t) = \sum_{\nu = - \infty }^{+\infty} T_{\rm A} \cdot\delta(t- \nu \cdot T_{\rm A})\hspace{0.2cm}\circ\!\!-\!\!\!-\!\!\!-\!\!\bullet\, \hspace{0.2cm} P_{\delta}(f) = \sum_{\mu = - \infty }^{+\infty} \delta(f- \mu \cdot f_{\rm A} ).$$
	\delta(t- \nu \cdot T_{\rm A}
	)\hspace{0.2cm}\circ\!\!-\!\!\!-\!\!\!-\!\!\bullet\, \hspace{0.2cm} P_{\delta}(f) = \sum_{\mu = - \infty }^{+\infty} \delta
	(f- \mu \cdot f_{\rm A} ).$$

	[[File:P_ID1121__Sig_T_5_1_S3_NEU.png\|right\|frame\|Dirac delta pulse in time and frequency domain with  $T_{\rm A} = 50\ {\rm µs}$  und  $f_{\rm A} = 1/T_{\rm A} = 20\ \text{kHz}$]]		[[File:P_ID1121__Sig_T_5_1_S3_NEU.png\|right\|frame\|Dirac delta pulse in time and frequency domain with  $T_{\rm A} = 50\ {\rm µs}$  und  $f_{\rm A} = 1/T_{\rm A} = 20\ \text{kHz}$]]
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	From this follows:   From the spectrum  $X(f)$  is obtained by convolution with the Dirac delta line shifted by  $\mu \cdot f_{\rm A}$ :		From this follows:   From the spectrum  $X(f)$  is obtained by convolution with the Dirac delta line shifted by  $\mu \cdot f_{\rm A}$ :

	:$$X(f) \star \delta		:$$X(f) \star \delta(f- \mu \cdot f_{\rm A})= X (f- \mu \cdot f_{\rm A})\hspace{0.05cm}.$$
	(f- \mu \cdot f_{\rm A}
	)= X (f- \mu \cdot f_{\rm A}
	)\hspace{0.05cm}.$$

	Applying this result to all Dirac delta lines of the Dirac delta pulse, we finally obtain:		Applying this result to all Dirac delta lines of the Dirac delta pulse, we finally obtain:

	:$$X_{\rm A}(f) = X(f) \star \sum_{\mu = - \infty }^{+\infty} \delta		:$$X_{\rm A}(f) = X(f) \star \sum_{\mu = - \infty }^{+\infty} \delta(f- \mu \cdot f_{\rm A}) = \sum_{\mu = - \infty }^{+\infty} X (f- \mu \cdot f_{\rm A})\hspace{0.05cm}.$$
	(f- \mu \cdot f_{\rm A}
	) = \sum_{\mu = - \infty }^{+\infty} X (f- \mu \cdot f_{\rm A}
	)\hspace{0.05cm}.$$

	{{BlaueBox\|TEXT=		{{BlaueBox\|TEXT=
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	*passes the low frequencies unaltered:		*passes the low frequencies unaltered:
	:$$H_{\rm E}(f) = 1 \hspace{0.3cm}{\rm{for}} \hspace{0.3cm} \|f\| \le B_{\rm		:$$H_{\rm E}(f) = 1 \hspace{0.3cm}{\rm{for}} \hspace{0.3cm} \|f\| \le B_{\rmNF}\hspace{0.05cm},$$
	NF}\hspace{0.05cm},$$
	*completely suppresses the high frequencies:		*completely suppresses the high frequencies:
	:$$H_{\rm E}(f) = 0 \hspace{0.3cm}{\rm{for}} \hspace{0.3cm} \|f\| \ge f_{\rm A} - B_{\rm		:$$H_{\rm E}(f) = 0 \hspace{0.3cm}{\rm{for}} \hspace{0.3cm} \|f\| \ge f_{\rm A} - B_{\rmNF}\hspace{0.05cm}.$$
	NF}\hspace{0.05cm}.$$

	Further, it can be seen from the accompanying graph:   As long as the above two conditions are satisfied,  $H_{\rm E}(f)$  can be arbitrarily shaped in the range from  $B_{\rm NF}$  to  $f_{\rm A}-B_{\rm NF}$  ,		Further, it can be seen from the accompanying graph:   As long as the above two conditions are satisfied,  $H_{\rm E}(f)$  can be arbitrarily shaped in the range from  $B_{\rm NF}$  to  $f_{\rm A}-B_{\rm NF}$  ,

Maintenance script: Add German interlanguage link

2026-03-16T12:39:31Z

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← Older revision		Revision as of 14:39, 16 March 2026
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	==Once again:  Open Applet in new Tab==		==Once again:  Open Applet in new Tab==
	{{LntAppletLinkEnDe\|sampling_en\|sampling}}		{{LntAppletLinkEnDe\|sampling_en\|sampling}}
			[[de:Applets:Sampling_and_Signal_Reconstruction]]

Noah at 17:10, 26 April 2023

2023-04-26T17:10:51Z

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	::*Sampled signal  $x_{\rm A}(t)$   ⇒   blue,		::*Sampled signal  $x_{\rm A}(t)$   ⇒   blue,
	::*Reconstructed signal  $y(t)$   ⇒   green,		::*Reconstructed signal  $y(t)$   ⇒   green,
	::*Differential signal  $\varepsilon(t)=y(t) - x(t)$   ⇒   purple,		::*Differential signal  $\varepsilon(t)=y(t) - x(t)$   ⇒   purple

	'''(F)'''     Graphical output area for frequency domain:		'''(F)'''     Graphical output area for frequency domain:
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	::*$X_{\rm A}(f)$   ⇒   blue,		::*$X_{\rm A}(f)$   ⇒   blue,
	::*$Y(f)$   ⇒   green,		::*$Y(f)$   ⇒   green,
	::*$E(f)=Y(f) - X(f)$   ⇒   purple.		::*$E(f)=Y(f) - X(f)$   ⇒   purple

	'''(G)'''     Exercise selection		'''(G)'''     Exercise selection

Noah at 17:10, 26 April 2023

2023-04-26T17:10:29Z

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	::*$E(f)=Y(f) - X(f)$   ⇒   purple.		::*$E(f)=Y(f) - X(f)$   ⇒   purple.

	'''(G)'''     Exercise selection.		'''(G)'''     Exercise selection

	'''(H)'''     Questions and solutions		'''(H)'''     Questions and solutions

Noah at 17:05, 26 April 2023

2023-04-26T17:05:42Z

← Older revision		Revision as of 19:05, 26 April 2023
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	[[File:Exercise_Abtast_v2.png\|right\|600px\|frame\|Screenshot]]		[[File:Exercise_Abtast_v2.png\|right\|600px\|frame\|Screenshot]]
	'''(A)'''     ~~Auswahl eines der vier vorgegebenen Quellensignale~~, <br>               ~~    Einstellung von Amplituden~~, ~~Frequenzen und Phasen~~		'''(A)'''     Selection of one of the four given source signals, <br>               Adjustment of amplitudes, frequencies and phases.

	'''(B)'''     ~~Ausgabe aller eingestellten Parameter des Quellensignals~~:		'''(B)'''     Output of all set parameters of the source signal:

	'''(C)'''     ~~Parameter für Abtastung~~ & ~~Signalrekonstrukion~~:		'''(C)'''     Sampling & signal reconstruction parameters:
	::*~~Abtastfrequenz~~  $f_{\rm A}$,		::*Sampling frequency  $f_{\rm A}$,
	::*~~Grenzfrequenz des Empfangsfilters~~  $f_{\rm G}$,		::*Limit frequency of the receiving filter  $f_{\rm G}$,
	::*Rolloff~~-Faktors des Empfangsfilters~~  $r$,		::*Rolloff factor of the receiving filter  $r$,
	:::⇒   ~~Trapez~~–~~Eckfrequenzen~~:  $f_{1,\ 2} = f_{\rm G}\cdot (1\mp r)$		:::⇒   Trapezoidal–corner frequencies:  $f_{1,\ 2} = f_{\rm G}\cdot (1\mp r)$

	'''(D)'''     ~~Numerische Ergebnisausgabe~~:		'''(D)'''     Numerical result output:
	::*~~Signalleistung~~  $P_{x}$		::*Signal power  $P_{x}$
	::*~~Verzerrungsleistung~~  $P_{\varepsilon}$		::*Distortion power  $P_{\varepsilon}$
	::*Signal~~-zu-Verzerrung-Verhältnis~~  $10 \cdot \lg \ P_{x}/P_{\varepsilon}$		::*Signal to distortion ratio  $10 \cdot \lg \ P_{x}/P_{\varepsilon}$

	'''(E)'''     ~~Grafischer Ausgabebereich für den Zeitbereich~~:		'''(E)'''     Graphical output range for time domain:
	::*~~Quellensignal~~  $x(t)$   ⇒   ~~blau~~,		::*Source signal  $x(t)$   ⇒   blue,
	::*~~abgetastetes Signal~~  $x_{\rm A}(t)$   ⇒   ~~blau~~,		::*Sampled signal  $x_{\rm A}(t)$   ⇒   blue,
	::*~~rekonstruiertes Signal~~  $y(t)$   ⇒   ~~grün~~,		::*Reconstructed signal  $y(t)$   ⇒   green,
	::*~~Differenzsignal~~  $\varepsilon(t)=y(t) - x(t)$   ⇒   ~~violett~~,		::*Differential signal  $\varepsilon(t)=y(t) - x(t)$   ⇒   purple,

	'''(F)'''     ~~Grafischer Ausgabebereich für den Frequenzbereich~~:		'''(F)'''     Graphical output area for frequency domain:
	::*$X(f)$   ⇒   ~~blau~~,		::*$X(f)$   ⇒   blue,
	::*$X_{\rm A}(f)$   ⇒   ~~blau~~,		::*$X_{\rm A}(f)$   ⇒   blue,
	::*$Y(f)$   ⇒   ~~grün~~,		::*$Y(f)$   ⇒   green,
	::*$E(f)=Y(f) - X(f)$   ⇒   ~~violett~~.		::*$E(f)=Y(f) - X(f)$   ⇒   purple.

	'''(G)'''     ~~Aufgabenauswahl~~		'''(G)'''     Exercise selection.

	'''(H)'''     ~~Fragen und Lösungen~~		'''(H)'''     Questions and solutions
	<br clear=all>		<br clear=all>
	==About the Authors==		==About the Authors==

Guenter at 15:26, 21 April 2023

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@@ Line 298: / Line 298: @@
 ==Applet Manual==
-[[File:Exercise_Abtast_v2.png|right|600px|frame|Screenshot '''Korrektur''']]&nbsp; &nbsp; '''(A)''' &nbsp; &nbsp; Auswahl:
+[[File:Exercise_Abtast_v2.png|right|600px|frame|Screenshot]]
-::*Kohärent,
+&nbsp; &nbsp; '''(A)''' &nbsp; &nbsp; Auswahl eines der vier vorgegebenen Quellensignale, <br>  &nbsp; &nbsp; &nbsp;  &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;  Einstellung von Amplituden, Frequenzen und Phasen
-&nbsp; &nbsp; '''(B)''' &nbsp; &nbsp; Parametereingabe:&nbsp;
+&nbsp; &nbsp; '''(B)''' &nbsp; &nbsp; Ausgabe aller eingestellten Parameter des Quellensignals:
-::*$\sigma_{\rm AWGN}$,&nbsp;
-::*$s_0$,&nbsp;
+&nbsp; &nbsp; '''(C)''' &nbsp; &nbsp; Parameter für Abtastung & Signalrekonstrukion:
-::*$E_{\rm S}/N_0$,&nbsp;
+::*Abtastfrequenz&nbsp; $f_{\rm A}$,&nbsp;
-::*$G_{\rm opt}$
+::*Grenzfrequenz des Empfangsfilters&nbsp; $f_{\rm G}$,
-&nbsp; &nbsp; '''(C)''' &nbsp; &nbsp; Numerischer Ausgabebereich der Wahrscheinlichkeiten
+&nbsp; &nbsp; '''(D)''' &nbsp; &nbsp; Numerische Ergebnisausgabe:
-&nbsp; &nbsp; '''(D)''' &nbsp; &nbsp; Grafischer Ausgabebereich der WDF-Anteile
+&nbsp; &nbsp; '''(H)''' &nbsp; &nbsp; Fragen und Lösungen
 <br clear=all>
 ==About the Authors==

Guenter at 14:26, 21 April 2023

2023-04-21T14:26:08Z

@@ Line 300: / Line 300: @@
 <br>
-[[File:Exercise_Abtast_v2.png|right|600px|frame|Screenshot '''Korrektur''']]
+[[File:Exercise_Abtast_v2.png|right|600px|frame|Screenshot '''Korrektur''']]&nbsp; &nbsp; '''(A)''' &nbsp; &nbsp; Auswahl:
 &nbsp; &nbsp; '''(A)''' &nbsp; &nbsp; Selection: &nbsp; Encoding<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;(binary,&nbsp; quaternary,&nbsp; AMI&ndash;code,&nbsp; duobinary code).

Guenter at 16:02, 20 April 2023

2023-04-20T16:02:33Z

← Older revision		Revision as of 18:02, 20 April 2023
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	==Applet Manual==		==Applet Manual==
	<br>		<br>
	~~'''Korrektur'''~~
	[[File:~~Anleitung_abtast~~.png\|right\|600px]]		[[File:Exercise_Abtast_v2.png\|right\|600px\|frame\|Screenshot '''Korrektur''']]
	'''(A)'''     Selection:   Encoding<br>               (binary,  quaternary,  AMI–code,  duobinary code).		'''(A)'''     Selection:   Encoding<br>               (binary,  quaternary,  AMI–code,  duobinary code).

Noah at 14:30, 15 April 2023

2023-04-15T14:30:57Z

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	'''Korrektur'''		'''Korrektur'''
	[[File:Anleitung_abtast.png\|right\|600px]]		[[File:Anleitung_abtast.png\|right\|600px]]
	'''(A)'''     ~~Auswahl~~:   ~~Codierung~~ <br>~~   ~~                (~~binär~~,  ~~quaternär~~,  AMI–~~Code~~,  ~~Duobinärcode~~)		'''(A)'''     Selection:   Encoding<br>               (binary,  quaternary,  AMI–code,  duobinary code).

	'''(B)'''     ~~Auswahl~~:   ~~Detektionsgrundimpuls~~<br>~~   ~~                 (~~nach Gauß~~–TP,  CRO–Nyquist,  ~~nach Spalt~~–TP}		'''(B)'''     Selection:   Detection base pulse<br>                (by Gaussian–LP,  CRO–Nyquist,  by slit–LP}

	'''(C)'''     ~~Prametereingabe zu~~  '''(B)'''<br>~~ ~~                  (~~Grenzfrequenz~~,  ~~Rolloff~~–~~Faktor~~,  ~~Rechteckdauer~~)		'''(C)'''     Parameter input to  '''(B)'''<br>                 (cutoff frequency,  rolloff–factor,  rectangular wave duration)

	'''(D)'''     ~~Steuerung der Augendiagrammdarstellung~~<br>~~ ~~                  (~~Start~~,  ~~Pause~~/~~Weiter~~,  ~~Einzelschritt~~,  ~~Gesamt~~,  ~~Reset~~)		'''(D)'''     Eye diagram display control<br>                 (start,  pause/continue,  single step,  total,  reset).

	'''(E)'''     ~~Geschwindigkeit der Augendiagrammdarstellung~~		'''(E)'''     Velocity of the eye diagram representation.

	'''(F)'''     ~~Darstellung~~:  ~~Detektionsgrundimpuls~~  $g_d(t)$		'''(F)'''     Representation:  Detection ground momentum  $g_d(t)$

	'''(G)'''     ~~Darstellung~~:  ~~Detektionsnutzsignal~~  $d_{\rm S}(t - \nu \cdot T)$		'''(G)'''     Representation:  detection useful signal  $d_{\rm S}(t - \nu \cdot T)$

	'''(H)'''     ~~Darstellung~~:  ~~Augendiagramm im Bereich~~  $\pm T$		'''(H)'''     Representation:  Eye diagram in the range  $\pm T$

	'''( I )'''     ~~Numerikausgabe~~:  $ö_{\rm norm}$  (~~normierte Augenöffnung~~)		'''( I )''''     Numerical output:  $ö_{\rm norm}$  (normalized eye opening).

	'''(J)'''     ~~Prametereingabe~~  $10 \cdot \lg \ E_{\rm B}/N_0$  ~~für~~  '''(K)'''		'''(J)''''     Parameter input  $10 \cdot \lg \ E_{\rm B}/N_0$  for  '''(K)'''

	'''(K)'''     ~~Numerikausgabe~~:  $\sigma_{\rm norm}$  (~~normierter Rauscheffektivwert~~)		'''(K)''''     Numeric output:  $\sigma_{\rm norm}$  (normalized noise rms).

	'''(L)'''     ~~Numerikausgabe~~:  $p_{\rm U}$  (~~ungünstigste Fehlerwahrscheinlichkeit~~)		'''(L)''''     Numeric output:  $p_{\rm U}$  (worst case error probability)

	'''(M)'''     ~~Bereich für die Versuchsdurchführung~~:   ~~Aufgabenauswahl~~		'''(M)''''     Range for experimental performance:   Task selection.

	'''(N)'''     ~~Bereich für die Versuchsdurchführung~~:   ~~Aufgabenstellung~~		'''(N)''''     Range for the execution of experiments:   Task selection

	'''(O)'''     ~~Bereich für die Versuchsdurchführung~~:   ~~Musterlösung einblenden~~		'''(O)''''     Range for carrying out the experiment:   Show sample solution
	<br clear=all>		<br clear=all>
	==About the Authors==		==About the Authors==

← Older revision		Revision as of 17:59, 16 March 2026
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	*passes the low frequencies unaltered:		*passes the low frequencies unaltered:
	:$$H_{\rm E}(f) = 1 \hspace{0.3cm}{\rm{for}} \hspace{0.3cm} \|f\| \le B_{\~~rmNF~~}\hspace{0.05cm},$$		:$$H_{\rm E}(f) = 1 \hspace{0.3cm}{\rm{for}} \hspace{0.3cm} \|f\| \le B_{\rm NF}\hspace{0.05cm},$$
	*completely suppresses the high frequencies:		*completely suppresses the high frequencies:
	:$$H_{\rm E}(f) = 0 \hspace{0.3cm}{\rm{for}} \hspace{0.3cm} \|f\| \ge f_{\rm A} - B_{\~~rmNF~~}\hspace{0.05cm}.$$		:$$H_{\rm E}(f) = 0 \hspace{0.3cm}{\rm{for}} \hspace{0.3cm} \|f\| \ge f_{\rm A} - B_{\rm NF}\hspace{0.05cm}.$$

	Further, it can be seen from the accompanying graph:   As long as the above two conditions are satisfied,  $H_{\rm E}(f)$  can be arbitrarily shaped in the range from  $B_{\rm NF}$  to  $f_{\rm A}-B_{\rm NF}$  ,		Further, it can be seen from the accompanying graph:   As long as the above two conditions are satisfied,  $H_{\rm E}(f)$  can be arbitrarily shaped in the range from  $B_{\rm NF}$  to  $f_{\rm A}-B_{\rm NF}$  ,
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	==About the Authors==		==About the Authors==
	This interactive calculation tool was designed and implemented at the  [https://www.ei.tum.de/en/lnt/home/ Institute for Communications Engineering]  at the  [https://www.tum.de/en Technical University of Munich].		This interactive calculation tool was designed and implemented at the  [https://www.ei.tum.de/en/lnt/home/ Institute for Communications Engineering]  at the  [https://www.tum.de/en Technical University of Munich].
	*The first version was created in 2008 by [[Biographies_and_Bibliographies/~~An_LNTwww_beteiligte_Studierende~~#Slim_Lamine_.28Studienarbeit_EI_2006.29\|Slim Lamine]]  as part of his diploma thesis with “FlashMX – Actionscript” (Supervisor: [[Biographies_and_Bibliographies/~~An_LNTwww_beteiligte_Mitarbeiter_und_Dozenten~~#Prof._Dr.-Ing._habil.~~_G.C3.BCnter_S.C3.B6der_.28am_LNT_seit_1974.29~~\|Günter Söder]]).		*The first version was created in 2008 by [[Biographies_and_Bibliographies/Students_involved_in_LNTwww#Slim_Lamine_.28Studienarbeit_EI_2006.29\|Slim Lamine]]  as part of his diploma thesis with “FlashMX – Actionscript” (Supervisor: [[Biographies_and_Bibliographies/LNTwww_members_from_LNT#Prof._Dr.-Ing._habil._Günter_Söder_(at_LNT_from_1974-2024)\|Günter Söder]]).

	*Last revision and English version 2020/2021 by  [[~~Biografien_und_Bibliografien~~/~~An_LNTwww_beteiligte_Studierende~~#Carolin_Mirschina_.28Ingenieurspraxis_Math_2019.2C_danach_Werkstudentin.29\|Carolin Mirschina]]  in the context of a working student activity.		*Last revision and English version 2020/2021 by  [[Biographies_and_Bibliographies/Students_involved_in_LNTwww#Carolin_Mirschina_.28Ingenieurspraxis_Math_2019.2C_danach_Werkstudentin.29\|Carolin Mirschina]]  in the context of a working student activity.


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	==Once again:  Open Applet in new Tab==		==Once again:  Open Applet in new Tab==
	{{LntAppletLinkEnDe\|sampling_en\|sampling}}		{{LntAppletLinkEnDe\|sampling_en\|sampling}}
	[[de:Applets:~~Sampling_and_Signal_Reconstruction~~]]		[[de:Applets:Sampling of Analog Signals and Signal Reconstruction]]