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 />
Z Domain <strong>Analysis</strong><br />
10<br />
9<br />
8<br />
1.5<br />
z-plane<br />
7<br />
1<br />
z=exp(jW)<br />
6<br />
0.5<br />
p 1<br />
z 1<br />
|H(W)|<br />
5<br />
4<br />
0<br />
-0.5<br />
W=p<br />
W 1<br />
W=0<br />
3<br />
-1<br />
2<br />
1<br />
-1.5<br />
-1 0 1<br />
0<br />
0 2 4 6<br />
0 ≤ W ≤ 2p<br />
Figure 5.6 The modulus of frequency response <strong>and</strong> the illustration of its value as a function of frequency Ω.<br />
2<br />
z ( z −1.2)(<br />
z + 1)<br />
Example 5.9: For the transfer function H ( z)<br />
=<br />
,, let z = exp ( jW)<br />
, the<br />
frequency response is<br />
( z − 0.5 + j0.7)(<br />
z − 0.5 − j0.7)(<br />
z − 0.8)<br />
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76<br />
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