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

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60 MUSICAL ApPLICATrONS OF MICROPROCESSORS<br />

decay is related to the filter's bandwidth or Q with narrower bandwidths<br />

(higher Q) resulting in a slower decay.<br />

As mentioned previously, more complex filter amplitude response<br />

shapes may be obtained by combining basic shapes. The most predictable<br />

method for combining two shapes is to cascade two filter sections by feeding<br />

the filtered output from one filter into the input <strong>of</strong> another. The resulting<br />

response shape is just the point-by-point sum <strong>of</strong> the individual response<br />

shapes, provided that they were plotted in decibels. Values from a linear gain<br />

scale would have to be multiplied together for the result.<br />

This technique is frequently used to get sharper cut<strong>of</strong>f filter shapes than<br />

v<br />

v<br />

v<br />

(Dj<br />

o<br />

-5<br />

-10<br />

-15<br />

~ -20<br />

w -25<br />

o =><br />

t:J -30<br />

0-<br />

:i -35<br />

-40<br />

-45<br />

-50<br />

-55<br />

-60L...J-- 3 L---L 5 -...l-7-...J 9 -- I L 1 -1...1- -....LIS=--------.J17'------1.L9--:'c21-~2=-3 --=-2'=-5------:2:'::7,....---:-29-....,..3-1<br />

3<br />

HARMONIC SPECTRUM<br />

(0)<br />

Fig. 2-6. Effect <strong>of</strong> filters on a square wave (cont.). (0) High-pass filter.

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