Normalization Method of Gradient Vector in Frequency Domain Steepest Descent Type Adaptive Algorithm

Yusuke KUWAHARA  Yusuke IWAMATSU  Kensaku FUJII  Mitsuji MUNEYASU  Masakazu MORIMOTO  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E95-A   No.11   pp.2041-2045
Publication Date: 2012/11/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E95.A.2041
Print ISSN: 0916-8508
Type of Manuscript: Special Section LETTER (Special Section on Smart Multimedia & Communication Systems)
Category: Digital Signal Processing
Keyword: 
Normalization of gradient vector,  frequency domain,  adaptive algorithm,  discrete Fourier transform,  linear convolution,  

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Summary: 
In this paper, we propose a normalization method dividing the gradient vector by the sum of the diagonal and two adjoining elements of the matrix expressing the correlation between the components of the discrete Fourier transform (DFT) of the reference signal used for the identification of unknown system. The proposed method can thereby improve the estimation speed of coefficients of adaptive filter.