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Musical-Applications-of-Microprocessors-2ed-Chamberlin-H-1987

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DIGITAL FILTERING 507<br />

lowest frequency "feature" significantly affects the duration <strong>of</strong> the impulse<br />

response. This means that the other features essentially ride along free.<br />

Figure 14-19 shows several response curves and their associated impulse<br />

responses, which should aid in understanding these properties. Note in<br />

particular that, while an ideal low-pass or bandpass filter characteristic can be<br />

achieved with this technique, the extremely long, slowly decaying impulse<br />

response makes its application impractical. Any attempt to shorten the response<br />

by truncation or smoothing <strong>of</strong>f destroys the ideal cut<strong>of</strong>f shape. Because<br />

<strong>of</strong> the long impulse response, the FFT filtering method should be used<br />

when such idealized filtering functions are needed.<br />

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~ -10<br />

UJ<br />

o<br />

~ -20<br />

::::;<br />

Cl.<br />

:i -30<br />

-40'----'----------------------_<br />

FREOUENCY (kHz)<br />

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~ -10<br />

UJ<br />

o<br />

~-20<br />

--'<br />

Cl.<br />

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