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Fast Fourier Transforms on Motorola's Digital Signal Processors

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Figure 2-1<br />

Figure 2-2<br />

Figure 3-1<br />

Figure 3-2<br />

Figure 3-3<br />

Figure 3-4<br />

Figure 3-5<br />

Figure 3-6<br />

Figure 3-7<br />

Figure 3-8<br />

Figure 3-9<br />

Figure 3-10<br />

Figure 4-1<br />

Figure 4-2<br />

Illustrati<strong>on</strong>s<br />

<str<strong>on</strong>g>Fourier</str<strong>on</strong>g> transform of a rectangular functi<strong>on</strong> 2-3<br />

Windowing effects when windowing a single<br />

sine wave 2-6<br />

The FFT principle in layman’s terms 3-2<br />

Decimati<strong>on</strong>-in-Time of an N-Point FFT 3-4<br />

Decimati<strong>on</strong>-in-Time FFT: step two 3-4<br />

Decimati<strong>on</strong>-in-Time FFT: final step<br />

(2-Point DFT) 3-5<br />

An 8-point, radix-2, Decimati<strong>on</strong>-in-Time FFT 3-5<br />

Rearrangement of the “Butterfly”<br />

building block of the DIT FFT 3-6<br />

Rearrangement of the “Butterfly”<br />

building block of the DIF FFT 3-6<br />

Rearrangement of the DIT computati<strong>on</strong> of<br />

Figure 3-6 3-7<br />

Decimati<strong>on</strong>-in-Frequency c<strong>on</strong>cept 3-8<br />

Complete 8-Point Radix-2 DIF FFT 3-8<br />

Grouping of butterflies in the FFT calculati<strong>on</strong> 4-5<br />

DSP56001 architecture block diagram 4-7<br />

MOTOROLA ix

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