Introduction to Digital Signal and System Analysis - Tutorsindia
Introduction to Digital Signal and System Analysis - Tutorsindia
Introduction to Digital Signal and System Analysis - Tutorsindia
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<strong>Introduction</strong> <strong>to</strong> <strong>Digital</strong> <strong>Signal</strong> <strong>and</strong> <strong>System</strong> <strong>Analysis</strong><br />
Time-domain <strong>Analysis</strong><br />
y [ n]<br />
= 0.5y[<br />
n −1]<br />
+ 0.25y[<br />
n − 2] + x[<br />
n]<br />
Q3.6 For LTI digital systems, the output is the convolution between the input <strong>and</strong> the impulse response. Calculate the<br />
output y [n]<br />
by manual convolution up <strong>to</strong> n=5 for the given impulse responses <strong>and</strong> inputs:<br />
a)<br />
h [n] = [ 2 1 3 4 ... ] x[n] = [ 1 2 3 ...]<br />
↑<br />
[n] = 4 3 2 1 0 ...<br />
↑<br />
n<br />
h[ n]<br />
= ( −0.5)<br />
u[<br />
n]<br />
↑<br />
x[n] = 2 −1<br />
0 ...<br />
↑<br />
b) h [ ] [ ]<br />
c)<br />
x[n] = [10, 10]<br />
↑<br />
41<br />
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