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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 />

exp(jΩ)<br />

p1<br />

p2<br />

Figure 5.10 Poles of the 2 nd order system<br />

Figure 5.11 Modulus of 2nd order system<br />

An example of a higher order transfer function is<br />

2<br />

( z + 1) ( z − z + 1)<br />

( z + 0.9z<br />

+ 0.81)<br />

H ( z)<br />

=<br />

2<br />

.<br />

z<br />

.<br />

p<br />

z , the frequency rejections are at = ± , p<br />

3<br />

Let = exp( jW)<br />

<strong>and</strong> zeros, <strong>and</strong> the frequency response are shown in Figure 5.12.<br />

W <strong>and</strong> frequency passes are at<br />

2p<br />

W = ±<br />

3<br />

. The poles<br />

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81

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