A Sparsity-Based Design of Regularization Parameter for Adaptive Proximal Forward-Backward Splitting Algorithm

Conference: ISWCS 2013 - The Tenth International Symposium on Wireless Communication Systems
08/27/2013 - 08/30/2013 at Ilmenau, Deutschland

Proceedings: ISWCS 2013

Pages: 4Language: englishTyp: PDF

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Authors:
Yukawa, Masahiro (Dept. Electronics and Electrical Eng., Keio University, Japan)
Tawara, Yuta; Sasaki, Shigenobu (Dept. Electrical and Electronic Eng., Niigata University, Japan)
Yamada, Isao (Dept. Communications and Computer Eng., Tokyo Institute of Technology, Japan)

Abstract:
In this paper, a novel regularization-parameter design for the adaptive proximal forward-backward splitting algorithm is proposed for sparse system identification. The regularization parameter is controlled adaptively based on sparsity of an estimated unknown system. The regularizer is designed by approximating an !p quasi-norm (0 < p < 1) linearly. Numerical examples show that the proposed algorithm is robust to the variation of the system sparsity.