File:Sampled signal DFT time aliasing.pdf

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Description
English: Example of aliasing in time (visible especially around the origin), due to too low time interval , of a sampled analogue signal.
Italiano: Esempio di aliasing nel tempo (visibile soprattutto intorno all'origine), dovuto a intervallo di tempo troppo basso, di un segnale analogico campionato.
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Source Own work
Author Luca Ghio
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Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
gnuplot source
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fc=4 * 40.52;
N=128;
Tc=1/fc;
T0=N*Tc;
Df=1/T0;
n=[0:N-1];
x_samp=exp(-2*n*Tc);
f=[-N/2:N/2-1]*Df;
DFT=fftshift(fft(x_samp,N));
figure
set (gca,'FontSize',14)
stem(f,abs(DFT)*Tc)
xlabel('f\cdot f_c')
ylabel('|X(f)|')
axis([-20 20 0 0.6])
grid on
hold on
f=[-N/2:0.01:N/2-1]*Df;
X=abs(1./(2+j*2*pi*f));
plot(f,X,'r--')

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current21:20, 22 January 2017Thumbnail for version as of 21:20, 22 January 20171,162 × 858 (14 KB)Luca Ghio (talk | contribs){{Information |Description= {{en|Example of aliasing in time (visible especially around the origin), due to too low time interval <math>T_0</math>, of a sampled analogue signal.}} {{it|Esempio di aliasing nel tempo (visibile soprattutto intorno all'ori...

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