Blind reconstruction of non-minimum-phase systems from 1-D oblique slices of bispectrum

Abeyratne, UR (1999) Blind reconstruction of non-minimum-phase systems from 1-D oblique slices of bispectrum. Iee Proceedings-Vision Image and Signal Processing, 146 5: 253-264.


Author Abeyratne, UR
Title Blind reconstruction of non-minimum-phase systems from 1-D oblique slices of bispectrum
Journal name Iee Proceedings-Vision Image and Signal Processing
Publication date 1999-10
Sub-type Article
DOI 10.1049/ip-vis:19990643
Volume number 146
Issue number 5
ISSN 1350-245X; 1751-9667
Start page 253
End page 264
Total pages 12
Place of publication Herts, United Kingdom
Publisher The Institution of Engineering and Technology
Language eng
Abstract The author considers the problem of identifying a non-minimum-phase signal from one-dimensional slices of its output bispectra. It is proved that any single slice of the bispectrum carries sufficient information to estimate the impulse response of a complex valued system within a time shift, as long as the chosen slice is not parallel to any one of the frequency axes or to the diagonal at 135 degrees. The author also derives identifiability criteria associated with complex-valued signals that admit finite-dimensional ARMA representations. One-dimensional techniques are proposed for signal reconstruction from bispectrum slices and their performance is investigated through Monte-Carlo simulations. The slices required for the proposed method can be estimated on a polar raster directly from observations, avoiding the heavy computational burden associated with cumulant estimates. The freedom to choose arbitrarily oriented and shifted slice(s) allows bispectrum regions dominated by larger estimation variance and higher noise to be avoided.
Keyword Signal representation
Identification
Autoregressive moving average processes
Spectral analysis
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article
Collection: School of Information Technology and Electrical Engineering Publications
 
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Created: Wed, 14 Nov 2012, 13:05:24 EST by Dr Udantha Abeyratne on behalf of School of Information Technol and Elec Engineering