Analysis of ill-conditioning of multi-channel deconvolution problems

Author

Kirkeby, Ole ; Rubak, Per ; Farina, Angelo

Author_Institution

Dept. of Commun. Technol., Aalborg Univ., Denmark

fYear

1999

fDate

1999

Firstpage

155

Lastpage

158

Abstract

Deconvolution of single- and multichannel systems is often an ill-conditioned problem whose exact solution boosts certain frequency bands excessively. Frequency-dependent regularisation can used to prevent this by attenuating sharp peaks in the magnitude response of the optimal filters. A z-domain analysis demonstrates that frequency-dependent regularisation works by pushing the poles of an ideal optimal solution away from the unit circle

Keywords

Z transforms; deconvolution; filtering theory; inverse problems; least squares approximations; matrix algebra; optimisation; poles and zeros; telecommunication channels; Z-transform matrix; exact least squares inversion; exact solution; frequency bands; frequency-dependent regularisation; ill-conditioned problem; magnitude response peaks attenuation; multi-channel deconvolution problems; multichannel systems; optimal filters; pole-zero analysis; single channel systems; unit circle; z-domain analysis; Acoustic imaging; Acoustic transducers; Communications technology; Cost function; Deconvolution; Finite impulse response filter; Frequency; Headphones; Least squares methods; Loudspeakers;

fLanguage

English

Publisher

ieee

Conference_Titel

Applications of Signal Processing to Audio and Acoustics, 1999 IEEE Workshop on

Conference_Location

New Paltz, NY

Print_ISBN

0-7803-5612-8

Type

conf

DOI

10.1109/ASPAA.1999.810873

Filename

810873