Abstract
A floating-point arithmetic unit (FPAU), based on the residue number system, is reported which can perform addition, subtraction and multiplication. As a result, several classic problems associated with RNS based digital filters such as: overflow detection, sign detection and non-integer filter coefficients are overcome by virtue of thefloating-point representation of rational numbers over a large dynamic range. The FPAU has potential applications in computing, digital filtering, and implementing high speed, high precision Fast Fourier Transform (FFT) and Winograd Fourier Transform (WFTA). It will be shown that by using parallel small word-length architectures (viz. microprocessors), a high speed FPAU can be realized.
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