Abstract
A chip architecture designed to compute a 16-point discrete Fourier transform (DFT) using S. Winograd's algorithm (1978) every 457 ns is presented. The 99500-transistor 1.2- mu m chip incorporates arithmetic, control, and input/output circuitry with testability and fault detection into a 144-pin package. A throughput of 2.3*10/sup 12/ gate-Hz/cm/sup 2/ and 79-million multiplications/s is attained with 70-MHz pipelined bit-serial logic. Combined with similar chips computing 15- and 17-point DFTs, 4080-point DFTs can be computed every 118 mu s. Using the 16- and 17-point chips, 272*272-point complex data imagery can be transformed in 4.25 ms. A 24-bit block floating-point data representation combined with an adaptive scaling algorithm delivers a numerical precision of 106 dB (17.6 bits) after computing 4080-point DFTs. >
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