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Analysis of complex LNS FFTs

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4 Author(s)
Arnold, M. ; Dept. of Comput. Sci., Wyoming Univ., Laramie, WY, USA ; Bailey, T. ; Cowles, J. ; Walter, C.

The complex-logarithmic number system (CLNS), which represents each complex point in log/polar coordinates, may be practical to implement the fast Fourier transform (FFT). The roots of unity needed by the FFT have exact representations in CLNS and do not require a ROM. We present an error analysis and simulation results for a radix-two FFT that compares a rectangular fixed-point representation of complex numbers to the CLNS. We observe that the CLNS saves 9-12 bits in word-size for 256-1024 point FFTs compared to the fixed-point number system while producing comparable accuracy

Published in:

Signal Processing Systems, 2001 IEEE Workshop on

Date of Conference:

2001