Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers (1994)

Pacific Grove, CA, USA

Oct. 31, 1994 to Nov. 2, 1994

ISSN: 1058-6393

ISBN: 0-8186-6405-3

pp: 1468-1472

E.H. Satorius , Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA

J.J. Mulligan , Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA

ABSTRACT

In this paper, we provide an asymptotic precision analysis of blind adaptive filter coefficients derived from a wide class of scale-invariant cost functions implicitly implemented in a batch processing mode. This analysis is based on a first-order Taylor expansion of the cost functions in the vicinity of their maxima and represents an extension of Donoho's (1981) classic asymptotic precision analysis to the complex case. Through this analysis we have a means of discriminating among different nonlinear cost functions in the sense of yielding more precise estimates with N finite samples. We also find that cost functions based on very large order statistics tend to have highly desirable convergence properties over a wide range of constellations.<>

INDEX TERMS

adaptive filters, adaptive signal processing, filtering theory, batch processing (computers), signal sampling, higher order statistics

CITATION

E. Satorius and J. Mulligan, "Asymptotic analysis of scale-invariant cost functions for blind adaptive processing,"

*Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers(ACSSC)*, Pacific Grove, CA, USA, 1995, pp. 1468-1472.

doi:10.1109/ACSSC.1994.471701

CITATIONS