Presentation 1998/1/23
Adaptive Algorithm Based on Least Mean p-Power Error Criterion for Fourier Analysis in Additive Noise
Yegui Xiao, Yoshiaki Tadokoro, Katsunori Shida,
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Abstract(in English) This paper presents a novel adaptive algorithm for the estimation of discrete Fourier coefficients (DFC) of sinusoidal and/or quasi-periodic signals in additive noise. The algorithm is derived using a least mean p-power error criterion. It reduces to the sign and conventional LMS algorithms when p=1 and 2, respectively. It is confirmed through extensive simulations that the new algorithm for p=3 and 4 generates much improved DFC estimates in moderate and high SNR environments compared to the LMS algorithm, while both have similar degrees of complexity. Assuming the Gaussian property of the estimation error, the proposed algorithm including the sign and LMS algorithms is analyzed in detail. Elegant dynamic equations and closed-form noise misadjustment expressions are derived and clarified.
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Keyword(in English) Adaptive Fourier analysis / Adaptive algorithm / Least mean p-power error criterion / Performance analysis
Paper # SAT97-117
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Committee SAT
Conference Date 1998/1/23(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Adaptive Algorithm Based on Least Mean p-Power Error Criterion for Fourier Analysis in Additive Noise
Sub Title (in English)
Keyword(1) Adaptive Fourier analysis
Keyword(2) Adaptive algorithm
Keyword(3) Least mean p-power error criterion
Keyword(4) Performance analysis
1st Author's Name Yegui Xiao
1st Author's Affiliation Saga University()
2nd Author's Name Yoshiaki Tadokoro
2nd Author's Affiliation Toyohashi University of Technology
3rd Author's Name Katsunori Shida
3rd Author's Affiliation Saga University
Date 1998/1/23
Paper # SAT97-117
Volume (vol) vol.97
Number (no) 487
Page pp.pp.-
#Pages 8
Date of Issue