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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 />

By considering the pole locations of the associated transfer function, determine the ranges of the real numbers α <strong>and</strong><br />

β for which the system can be stable <strong>and</strong> find the poles <strong>and</strong> zeros.<br />

Q5.9 A digital filter has the transfer function:<br />

z<br />

H ( z)<br />

= z +α<br />

Describe the frequency characteristic with reference <strong>to</strong> the range of values of α for which the system is stable.<br />

Q5.10 A digital system has the transfer function:<br />

H<br />

2<br />

z<br />

z)<br />

= z − 0.8<br />

(<br />

2<br />

Sketch the magnitude of its frequency response H (W)<br />

over 0 < W < p .<br />

Q5.11 sketch the magnitude <strong>and</strong> phase for the frequency responses of filters:<br />

a)<br />

H ( z)<br />

=<br />

2<br />

z<br />

z<br />

−1.36z<br />

+ 0.922<br />

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