Comments, with reply, on "Convergence properties of Gram-Schmidt and SMI adaptive algorithms" by K. Gerlach and F.F. Kretschmer, Jr

Author

Gerlach, K. ; Kretschmer, F.F.

Volume

27

Issue

6

fYear

1991

Firstpage

897

Lastpage

901

Abstract

The commenter summarizes Q-R decomposition techniques for solving the least squares (LS) problem and comments on associated aspects of the work presented by K. Gerlach and F.F. Kretschmer, Jr. (ibid., vol.267, no.1, Jan.90). In response to the commenter´s statement that the statistical properties of the LS that determine the convergence performance are well known. Gerlach and Kretschmer assert that this is true only under the assumptions that have been used in the past to analyze the convergence performance of the canceler and for only a limited number of convergence performance measures. Gerlach and Kretschmer also address the commenter´s points on overmatching degrees of freedom.<>

Keywords

antenna phased arrays; computerised signal processing; convergence of numerical methods; least squares approximations; telecommunications computing; Q-R decomposition; SMI adaptive algorithms; canceler; convergence; least squares; overmatching degrees of freedom; sampled matrix inversion; statistical properties; Adaptive algorithm; Convergence; Least squares methods; Performance analysis;

fLanguage

English

Journal_Title

Aerospace and Electronic Systems, IEEE Transactions on

Publisher

ieee

ISSN

0018-9251

Type

jour

DOI

10.1109/7.104277

Filename

104277