AVERAGING ANALYSIS OF LOCAL STABILITY OF A REAL CONSTANT MODULUS ALGORITHM ADAPTIVE FILTER

被引:13
作者
JOHNSON, CR [1 ]
DASGUPTA, S [1 ]
SETHARES, WA [1 ]
机构
[1] UNIV IOWA,DEPT ELECT & COMP ENGN,IOWA CITY,IA 52242
来源
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING | 1988年 / 36卷 / 06期
关键词
CONTROL SYSTEMS; ADAPTIVE; -; Stability;
D O I
10.1109/29.1601
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The constant modulus algorithm (CMA) of adaptive filtering was developed for usage when the modulus of the desired signal is known, but its specific value at every sample instant is not known. A real-arithmetic version of CMA was recently proposed, and studied using simulations, by J. R. Treichler and M. G. Larimore (ibid. , vol. ASSP-33, pp. 420-431, Apr. 1985). Local stability of their arithmetic version of CMA is proven in two applications: (i) channel equalization for a transmitted sequence of plus and minus ones, and (ii) the separation of a sinusoidal signal from its sum with a number of sinusoidal interferers at separate frequencies. The proofs utilize dynamic system stability theorems from averaging theory, which is a technique currently being utilized in the stability analysis of a variety of adaptive systems.
引用
收藏
页码:900 / 910
页数:11
相关论文
共 12 条
[1]  
Anderson B.D., 1986, STABILITY ADAPTIVE S
[2]   EXPONENTIAL CONVERGENCE OF ADAPTIVE IDENTIFICATION AND CONTROL ALGORITHMS [J].
ANDERSON, BDO ;
JOHNSON, CR .
AUTOMATICA, 1982, 18 (01) :1-13
[3]   PERSISTENCY OF EXCITATION, SUFFICIENT RICHNESS AND PARAMETER CONVERGENCE IN DISCRETE-TIME ADAPTIVE-CONTROL [J].
BAI, EW ;
SASTRY, SS .
SYSTEMS & CONTROL LETTERS, 1985, 6 (03) :153-163
[4]  
BAI EW, 1986, UCBERL M8667 U CAL M
[5]   STABILITY THEORY FOR ADAPTIVE SYSTEMS - METHOD OF AVERAGING AND PERSISTENCY OF EXCITATION [J].
KOSUT, RL ;
ANDERSON, BDO ;
MAREELS, IMY .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (01) :26-34
[6]  
Ljung L, 1983, THEORY PRACTICE RECU
[7]  
Saaty T., 1964, NONLINEAR MATH
[8]  
SMITH JO, 1985, 1985 P INT C AC SPEE, P1161
[9]   THE TONE CAPTURE PROPERTIES OF CMA-BASED INTERFERENCE SUPPRESSORS [J].
TREICHLER, JR ;
LARIMORE, MG .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1985, 33 (04) :946-958
[10]   NEW PROCESSING TECHNIQUES BASED ON THE CONSTANT MODULUS ADAPTIVE ALGORITHM [J].
TREICHLER, JR ;
LARIMORE, MG .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1985, 33 (02) :420-431