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Level Quantization Impact on Accuracy of Fast Fourier Transform Algorithm

Authors
 Khanyan G.S.
Date of publication
 2010

Abstract
 The paper continues a study presented at the previous conference and deals with level quantization impact on accuracy of direct and fast methods of Fourier transform calculation. Mathematical modeling of harmonic signalís and DFT and FFT basis functionsí samples level quantization is performed. We construct and plot characteristics Ė dependencies of signalís frequency, amplitude, and initial phase on quantization levels number. The comparison of numerical test results shows that it is necessary to take account errors due to fast algorithm application in modern microelectronics hardware and software devices with a small memory cell bit number.
Keywords
 level quantization; analog-to-digital conversion; discrete and fast Fourier transform; errors in spectral estimation
Library reference
 Khanyan G.S. Level Quantization Impact on Accuracy of Fast Fourier Transform Algorithm // Problems of Perspective Micro- and Nanoelectronic Systems Development - 2010. Proceedings / edited by A. Stempkovsky, Moscow, IPPM RAS, 2010. P. 454-457.
URL of paper
 http://www.mes-conference.ru/data/year2010/papers/m10-98-49922.pdf

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