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

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562 MUSICAL ApPLICATIONS OF MICROPROCESSORS<br />

o<br />

-5<br />

-10<br />

-15<br />

~ -20<br />

UJ -25<br />

<br />

:::><br />

to: -30<br />

....J<br />

Q.<br />

~ -35<br />

-40<br />

-45<br />

-50<br />

o<br />

-5<br />

-10<br />

-15<br />

;n -20<br />

~<br />

UJ -25<br />

<br />

:::><br />

to: -30<br />

....J<br />

"'-<br />

~ -35<br />

-40<br />

-45<br />

-50<br />

-55<br />

- 60L-_--'__-,L-----'i-,--'tL----'-t-L.L _<br />

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FREQUENCY (Hzl<br />

(DJ<br />

Fig. 16-11. Equivalent half-bandpass filter shapes <strong>of</strong> common windows<br />

(cant.). (C) Half-sine window. (0) Hanning window.<br />

useful windows have the same basic bandpass shape; a large central lobe with<br />

tipples on both sides. The peak <strong>of</strong> the ripples and therefore the points <strong>of</strong><br />

worst leakage occur midway between the nulls, that is, at frequencies halfway<br />

between the original FFT harmonics. Thus, the peaks <strong>of</strong> the leakage can<br />

be plotted by evaluating an FFT only twice as long as the window.

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