TAILIEUCHUNG - Báo cáo hóa học: " An Exact FFT Recovery Theory: A Nonsubtractive Dither Quantization Approach with Applications"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: An Exact FFT Recovery Theory: A Nonsubtractive Dither Quantization Approach with Applications | Hindawi Publishing Corporation EURASIP Journal on Applied Signal Processing Volume 2006 Article ID 34838 Pages 1-19 DOI ASP 2006 34838 An Exact FFT Recovery Theory A Nonsubtractive Dither Quantization Approach with Applications L. Cheded and S. Akhtar Systems Engineering Department KingFahd University of Petroleum and Minerals KFUPM Box 116 Dhahran 31261 Saudi Arabia Received 27 June 2004 Revised 13 September 2005 Accepted 26 September 2005 Recommended for Publication by Jar-Ferr Kevin Yang Fourier transform is undoubtedly one of the cornerstones of digital signal processing DSP . The introduction of the now famous FFT algorithm has not only breathed a new lease of life into an otherwise latent classical DFT algorithm but also led to an explosion in applications that have now far transcended the confines of the DSP field. For a good accuracy the digital implementation of the FFT requires that the input and or the 2 basis functions be finely quantized. This paper exploits the use of coarse quantization of the FFT signals with a view to further improving the FFT computational efficiency while preserving its computational accuracy and simplifying its architecture. In order to resolve this apparent conflict between preserving an excellent computational accuracy while using a quantization scheme as coarse as can be desired this paper advances new theoretical results which form the basis for two new and practically attractive FFT estimators that rely on the principle of 1 bit nonsubtractive dithered quantization NSDQ . The proposed theory is very well substantiated by the extensive simulation work carried out in both noise-free and noisy environments. This makes the prospect of implementing the 2 proposed 1 bit FFT estimators on a chip both practically attractive and rewarding and certainly worthy of a further pursuit. Copyright 2006 Hindawi Publishing Corporation. All rights reserved. 1. INTRODUCTION The vast success of the Fourier transform is amply reflected .

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