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Fast Fourier Transforms on Motorola's Digital Signal Processors

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; ------------ NORMAL RADIX-2 BUTTERFLY ----------------------------------- *<br />

;**************************************************************************<br />

**<br />

_nr2<br />

move r0,r4<br />

move r1,r5<br />

move n0,n1<br />

move n0,n4<br />

move n0,n5<br />

move x:(r6)+n6,d9.s y:,d8.s<br />

move y:(r1),d7.s<br />

fmpy.s d8,d7,d3 x:(r1)+,d6.s<br />

fmpy.s d9,d6,d0<br />

fmpy.s d9,d7,d1 y:(r1),d7.s<br />

fmpy d8,d6,d2 fadd.s d3,d0 x:(r0),d4.s<br />

fmpy d8,d7,d3 faddsub.s d4,d0 x:(r1)+,d6.s<br />

do n7,_endgrp ; loop of groups<br />

do r7,_bfly ; butterflyloop<br />

fmpy d9,d6,d0 fsub.s d1,d2 d0.s,x:(r4) y:(r0)+,d5.s<br />

fmpy d9,d7,d1 faddsub.s d5,d2 d4.s,x:(r5) y:(r1),d7.s<br />

fmpy d8,d6,d2 fadd.s d3,d0 x:(r0),d4.s d2.s,y:(r5)+<br />

fmpy d8,d7,d3 faddsub.s d4,d0 x:(r1)+,d6.s d5.s,y:(r4)+<br />

_bfly<br />

fmpy d9,d6,d0 fsub.s d1,d2 d0.s,x:(r4) y:(r0)+,d5.s<br />

fmpy d9,d7,d1 faddsub.s d5,d2 d4.s,x:(r5) y:(r1),d7.s<br />

fmpy d8,d6,d2 fadd.s d3,d0 x:(r0),d4.s d2.s,y:(r5)+<br />

fmpy d8,d7,d3 faddsub.s d4,d0 x:(r1)+n1,d6.s d5.s,y:(r4)+<br />

fmpy d9,d6,d0 fsub.s d1,d2 d0.s,x:(r4) y:(r0)+,d5.s<br />

fmpy d9,d7,d1 faddsub.s d5,d2 d4.s,x:(r5) y:(r1),d7.s<br />

fmpy d8,d6,d2 fadd.s d3,d0 x:(r0),d4.s d2.s,y:(r5)+<br />

move x:(r6)+n6,d9.s y:,d8.s<br />

fmpy d8,d7,d3 faddsub.s d4,d0 x:(r1)+,d6.s d5.s,y:(r4)+<br />

fmpy d9,d6,d0 fsub.s d1,d2 d0.s,x:(r4) y:(r0)+n0,d5.s<br />

fmpy d9,d7,d1 faddsub.s d5,d2 d4.s,x:(r5) y:(r1),d7.s<br />

fmpy d8,d6,d2 fadd.s d3,d0 x:(r0),d4.s d2.s,y:(r5)+n5<br />

fmpy d8,d7,d3 faddsub.s d4,d0 x:(r1)+,d6.s d5.s,y:(r4)+n4<br />

_endgrp<br />

rts<br />

endm<br />

% MATLAB-File to generate the radix-4 twiddle factor table for the<br />

% fast FFT-program RMIX1.ASM .<br />

% By increasing the variable fftlength you can make tables for higher<br />

% FFT-lengths than 1024.<br />

%<br />

% Karl Schwarz, Raimund Meyer 17.10.1989<br />

% Lehrstuhl fuer Nachrichtentechnik<br />

% Universitaet Erlangen-Nuernberg<br />

Figure A-1 Optimized Complex FFT for the DSP96002 (sheet 9 of 20)<br />

MOTOROLA A-9

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