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 />
The frequency response is given by<br />
exp( j2W)<br />
− 2r1<br />
cosq1<br />
exp( jW)<br />
+ r<br />
H ( W)<br />
=<br />
exp( j2W)<br />
− 2r<br />
cosq<br />
exp( jW)<br />
+ r<br />
2<br />
2<br />
2<br />
1<br />
2<br />
2<br />
where if r = 1<br />
1 there will be a frequency rejection at W = q1<br />
.<br />
The gain is<br />
H ( W)<br />
=<br />
2<br />
2<br />
2<br />
{( 1−<br />
2r1<br />
cosq1<br />
cosW + r1<br />
cos 2W) + ( 2r1<br />
cosq1<br />
sin W − r1<br />
sin 2W)<br />
}<br />
2<br />
2<br />
2<br />
2<br />
( 1−<br />
2r<br />
cosq<br />
cosW + r cos 2W) + ( 2r<br />
cosq<br />
sin W − r sin 2W)<br />
2 1/ 2<br />
{ } 1/ 2<br />
2 2<br />
2<br />
2 2<br />
2<br />
A summary if its frequency properties in relation <strong>to</strong> the zeros <strong>and</strong> poles is listed in Table 5.3.<br />
<br />
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