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DESIGN AND ANALYSIS OF ANALOG FILTERS A Signal ...

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34 <strong>DESIGN</strong> <strong>AND</strong> <strong>ANALYSIS</strong> <strong>OF</strong> <strong>ANALOG</strong> <strong>FILTERS</strong>:<br />

from which “raised cosine” gets it's name. Note from Figure 2.14, that when<br />

the impulse response dies out, at least practically, much more rapidly than it does for<br />

Note from (2.10), that the term,<br />

multiplies the sinc function which is independent of Therefore, it is the<br />

dependent term that causes the impulse response to die out more rapidly when<br />

2.2 THE PALEY-WIENER THEOREM<br />

The Paley-Wiener Theorem is a fundamental theorem concerning the<br />

realizability of an analog filter transfer function. In considering ideal filters in the last<br />

section, the fact that they are inherently non-causal makes them non-realizable; the<br />

Chapter 2 Analog Filter Design and Analysis Concepts

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