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

Yusuke KUWAHARA; Yusuke IWAMATSU; Kensaku FUJII; Mitsuji MUNEYASU; Masakazu MORIMOTO

doi:10.1587/transfun.E95.A.2041

Special Section on Smart Multimedia & Communication Systems

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

Yusuke KUWAHARA, Yusuke IWAMATSU, Kensaku FUJII, Mitsuji MUNEYASU, Masakazu MORIMOTO

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Keywords: Normalization of gradient vector, frequency domain, adaptive algorithm, discrete Fourier transform, linear convolution

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2012 Volume E95.A Issue 11 Pages 2041-2045

DOI https://doi.org/10.1587/transfun.E95.A.2041

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Abstract

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.

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