DocumentCode :
1182769
Title :
Phase regression approach for estimating the parameters of a noisy multifrequency signal
Author :
Zhu, L. ; Ding, H. ; Ding, K.
Author_Institution :
Sch. of Mech. Eng., Shanghai Jiao Tong Univ., China
Volume :
151
Issue :
5
fYear :
2004
Firstpage :
411
Lastpage :
420
Abstract :
A novel approach for estimating the parameters of a multifrequency signal from discrete samples corrupted by additive noise is presented. An established mathematical model indicates that noise influence on the discrete phase and amplitude spectra is equivalent to additive phase and amplitude noise, respectively. On this basis, a simple algorithm is proposed to estimate the frequency and phase of each sinusoid component by linear regression on the phase spectra of segmented signal blocks, while an amplitude estimator is directly derived from the spectrum of the window function. The circular nature of the phase spectrum is thoroughly explored. Also, an algorithmic scheme is presented. The derived variances of the estimators show that for a noisy signal this approach provides superior accuracy over the traditional approaches. Simulations and engineering application confirm the validity of the presented method.
Keywords :
amplitude estimation; frequency estimation; phase estimation; regression analysis; signal sampling; additive noise; additive phase; algorithmic scheme; amplitude estimator; amplitude spectra; discrete phase; linear regression; noisy multifrequency signal; parameters estimation; phase regression approach; phase spectrum; segmented signal block;
fLanguage :
English
Journal_Title :
Vision, Image and Signal Processing, IEE Proceedings -
Publisher :
iet
ISSN :
1350-245X
Type :
jour
DOI :
10.1049/ip-vis:20040676
Filename :
1367355
Link To Document :
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