IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Regular Section
Low-Complexity Constant Multiplication Based on Trigonometric Identities with Applications to FFTs
Fahad QURESHIOscar GUSTAFSSON
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2011 Volume E94.A Issue 11 Pages 2361-2368

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Abstract
In this work we consider optimized twiddle factor multipliers based on shift-and-add-multiplication. We propose a low-complexity structure for twiddle factors with a resolution of 32 points. Furthermore, we propose a slightly modified version of a previously reported multiplier for a resolution of 16 points with lower round-off noise. For completeness we also include results on optimal coefficients for eight-points resolution. We perform finite word length analysis for both coefficients and round-off errors and derive optimized coefficients with minimum complexity for varying requirements.
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© 2011 The Institute of Electronics, Information and Communication Engineers
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