Generalized quadratic minimization and blind multichannel deconvolution

Author

Gorokhov, Alexei ; Stoica, Petre

Author_Institution

L2S, Gif-sur-Yvette, France

Volume

48

Issue

1

fYear

2000

fDate

1/1/2000 12:00:00 AM

Firstpage

201

Lastpage

213

Abstract

This paper deals with the problem of quadratic minimization subject to linear equality constraints. Unlike the standard formulation, we assume the most general case of a possibly singular quadratic form. We explain that the existing formal solution to this problem has several drawbacks. Our new approach is free from most of these drawbacks. In particular, it has a simple interpretation and is relatively easy to implement. The practical importance of this result lies in its numerous applications: filter design, spectral analysis, direction finding, and blind deconvolution of multiple FIR channels. Here, we focus on the blind deconvolution application for which we present a novel solution with enhanced performance

Keywords

deconvolution; identification; minimisation; prediction theory; statistical analysis; telecommunication channels; transient response; blind deconvolution; blind multichannel deconvolution; direction finding; estimation theory; exact system identification; filter design; filtering theory; formal solution; generalized quadratic minimization; linear equality constraints; linear prediction; multiple FIR channel identification; multiple FIR channels; performance; signal processing; singular quadratic form; spectral analysis; statistical approach; Adaptive filters; Constraint optimization; Deconvolution; Filtering theory; Finite impulse response filter; Frequency estimation; Signal processing; Spectral analysis; Wiener filter; Yield estimation;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.815490

Filename

815490