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Highlights from
Digital Signal Processing Using MATLAB

Digital Signal Processing Using MATLAB

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21 Aug 2002 (Updated )

Companion Software

ex032000.m
% Chapter 3 : Example 3.20

%             Reconstruction and aliasing using sinc function

%

% Discrete-time Signal x1(n)

Ts = 0.001; Fs = 1/Ts; n = -5:1:5; nTs = n*Ts;

x = exp(-1000*abs(nTs));

% Analog Signal reconstruction

Dt = 0.00005;

t = -0.005:Dt:0.005;

xa = x * sinc(Fs*(ones(length(nTs),1)*t-nTs'*ones(1,length(t))));

% check

error = max(abs(xa - exp(-1000*abs(t))))

% Plots

subplot(1,1,1)

subplot(2,1,2);plot(t*1000,xa);

xlabel('t in msec.'); ylabel('xa(t)')

title('Reconstructed Signal from x2(n) using sinc function'); hold on

stem(n*Ts*1000,x); hold off

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