Augmented complex-valued normalized subband adaptive filter: Algorithm derivation and analysis

被引:25
作者
Wen, Pengwei [1 ]
Zhang, Jiashu [1 ]
Zhang, Sheng [1 ]
Li, Defang [1 ]
机构
[1] Southwest Jiaotong Univ, Sichuan Prov Key Lab Signal & Informat Proc, Chengdu 610031, Sichuan, Peoples R China
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2019年 / 356卷 / 03期
基金
美国国家科学基金会;
关键词
NLMS ALGORITHM; NOISE; CLMS;
D O I
10.1016/j.jfranklin.2018.11.013
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, a novel augmented complex-valued normalized subband adaptive filter (ACNSAF) algorithm is proposed for processing the noncircular complex-valued signals. Based on the augmented statistics, the proposed algorithm is derived by computing a constraint cost function. Due to contain all second-order statistical properties, the ACNSAF algorithm can process the circular and noncircular complex-valued signals simultaneously. Moreover, the stability and mean square steady-state analysis of the proposed algorithm is derived by using the energy conservation principle. Computer simulation experiments on complex-valued system identification, prediction and noise cancelling show that the proposed algorithm achieves the improved mean square deviation and prediction gain compared to the ACNLMS algorithm. And the simulation results are consistent with the analysis results. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:1604 / 1622
页数:19
相关论文
共 37 条
[1]   Complex-Valued Signal Processing: The Proper Way to Deal With Impropriety [J].
Adali, Tulay ;
Schreier, Peter J. ;
Scharf, Louis L. .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2011, 59 (11) :5101-5125
[2]  
[Anonymous], 2009, SUBB ADAPTIVE FIL
[3]  
[Anonymous], INT J FOOD SCI NUTR
[4]  
Cowan C.F. N., 1985, ADAPTIVE FILTERS
[5]  
Haykin S., 2002, ADAPTIVE FILTER THEO
[6]   An adaptive approach for the identification of improper complex signals [J].
Jelfs, Beth ;
Mandic, Danilo P. ;
Douglas, Scott C. .
SIGNAL PROCESSING, 2012, 92 (02) :335-344
[7]   Tracking analysis of augmented complex least mean square algorithm [J].
Khalili, Azam ;
Rastegarnia, Amir .
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2016, 30 (01) :106-114
[8]   Derivation and analysis of incremental augmented complex least mean square algorithm [J].
Khalili, Azam ;
Rastegarnia, Amir ;
Bazzi, Wael M. ;
Yang, Zhi .
IET SIGNAL PROCESSING, 2015, 9 (04) :312-319
[9]   Delayless Individual-Weighting-Factors Sign Subband Adaptive Filter With Band-Dependent Variable Step-Sizes [J].
Kim, Jung-Hee ;
Kim, Jin ;
Jeon, Jae Hyeon ;
Nam, Sang Won .
IEEE-ACM TRANSACTIONS ON AUDIO SPEECH AND LANGUAGE PROCESSING, 2017, 25 (07) :1526-1534
[10]   Improving convergence of the NLMS algorithm using constrained subband updates [J].
Lee, KA ;
Gan, WS .
IEEE SIGNAL PROCESSING LETTERS, 2004, 11 (09) :736-739