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A Low-Complexity and High-Resolution Algorithm for the Magnitude Approximation of Complex Numbers
Luca FANUCCI Massimo ROVINI
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2002/07/01
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: VLSI Design Technology and CAD
complex number, magnitude approximation, power estimation, hardware implementation, VLSI,
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In this paper a low-complexity and high-resolution algorithm to estimate the magnitude of complex numbers is presented. Starting from a review of previous art, the new algorithm has been derived to improve precision performance without any penalty in hardware complexity. As a case example, a semi-custom VLSI implementation for 10 bit 2's complement input data has been performed. A mean square error and mean error performance improvement of nearly one order of magnitude has been demonstrated for an hardware complexity increase of roughly 34% with respect to previously presented solutions.