Averaging analysis of local stability of a real constant modulus algorithm adaptive filter

Author

Johnson, C. Richard, Jr. ; Dasgupta, Soura ; Sethares, William A.

Author_Institution

Sch. of Electr. Eng., Cornell Univ., Ithaca, NY, USA

Volume

36

Issue

6

fYear

1988

fDate

6/1/1988 12:00:00 AM

Firstpage

900

Lastpage

910

Abstract

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, p.420-31, Apr. 1985). Local stability of their arithmetic version of CMA is proven in two applications: channel equalization for a transmitted sequence of plus and minus ones, and 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

Keywords

adaptive systems; filtering and prediction theory; stability; adaptive systems; averaging theory; channel equalization; dynamic system stability theorems; local stability; real constant modulus algorithm adaptive filter; sinusoidal signal; Adaptive filters; Algorithm design and analysis; Arithmetic; Finite impulse response filter; Frequency; Quality assessment; Robust stability; Signal analysis; Signal processing algorithms; Stability analysis;

fLanguage

English

Journal_Title

Acoustics, Speech and Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

0096-3518

Type

jour

DOI

10.1109/29.1601

Filename

1601