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Fast Fourier Transforms on Motorola's Digital Signal Processors

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Implementati<strong>on</strong> of <str<strong>on</strong>g>Fast</str<strong>on</strong>g><br />

<str<strong>on</strong>g>Fourier</str<strong>on</strong>g> <str<strong>on</strong>g>Transforms</str<strong>on</strong>g> <strong>on</strong><br />

<strong>Motorola's</strong> <strong>Digital</strong><br />

<strong>Signal</strong> <strong>Processors</strong><br />

by<br />

Guy R. L. Sohie and Wei Chen<br />

<strong>Digital</strong> <strong>Signal</strong> Processing Divisi<strong>on</strong><br />

Preface<br />

The human body has inherently slow percepti<strong>on</strong> mechanisms.<br />

For instance, when listening to music, or speech; we<br />

do not hear individual pressure variati<strong>on</strong>s of the sound as<br />

they occur so quickly in time. Instead, we hear a changing<br />

pitch, or frequency. Similarly, our eyes do not “see” individual<br />

oscillati<strong>on</strong>s of electromagnetic fields (light); rather, we see<br />

colors. In fact, we do not directly perceive any fluctuati<strong>on</strong>s (or<br />

oscillati<strong>on</strong>s) which change faster than approximately 20 times<br />

per sec<strong>on</strong>d. Any faster changes manifest themselves in terms<br />

of the frequency or rate of change, rather than the change itself.<br />

Thus, the c<strong>on</strong>cept of frequency is as important and<br />

fundamental as the c<strong>on</strong>cept of time.<br />

MOTOROLA APR4

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