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DESIGN AND ANALYSIS OF ANALOG FILTERS A Signal ...

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A <strong>Signal</strong> Processing Perspective 111<br />

2.45<br />

2.46<br />

Given the phase function expressed in (2.108) with and that<br />

determine the frequency at which the magnitude frequency<br />

response is times the maximum value (the half-power frequency).<br />

Repeat Problem 2.45 for an arbitrary and arbitrary).<br />

2.47 Given the phase function expressed in (2.108) with and that<br />

using MATLAB, determine and plot the corresponding unit<br />

impulse response.<br />

2.48<br />

Given that<br />

(a)<br />

(b)<br />

(c)<br />

Determine, by hand, expressions for the magnitude frequency<br />

response and the phase response.<br />

Determine, by hand, an expression for the unit impulse<br />

response.<br />

For a frequency scaling factor applied to H(s),<br />

determine expressions for the frequency scaled transfer function,<br />

the frequency scaled magnitude frequency response, the<br />

frequency scaled phase response, and the frequency scaled unit<br />

impulse response.<br />

Section 2.17 Chapter 2 Problems

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