System reconstruction from selected HOS regions

Haralambos Pozidis, Athina P. Petropulu

Research output: Contribution to conferencePaperpeer-review

1 Scopus citations

Abstract

System reconstruction from arbitrarily selected slices of the n-th order output spectrum is considered. We establish that unique identification of the impulse response of a system can be performed, up to a scalar and a circular shift, based on any two horizontal slices of the discretized n-th order output spectrum, (n≥3), as long as the distance between the slices and the grid size satisfy a simple condition. For the special case of real systems, one slice suffices for reconstruction. The ability to select the slices to be used for reconstruction enables one to avoid regions of the n-th order spectrum where the estimation variance is high, or where the ideal bispectrum is expected to be zero, as in the case of bandlimited systems. We propose a mechanism for selecting slices that result in improved system estimates. We also demonstrate via simulations the superiority, in terms of estimation bias and variance, of the proposed method over existing approaches in the case of bandlimited systems.

Original languageEnglish (US)
Pages224-228
Number of pages5
StatePublished - 1997
Externally publishedYes
EventProceedings of the 1997 IEEE Signal Processing Workshop on Higher-Order Statistics, SPW-HOS - Banff, Can
Duration: Jul 21 1997Jul 23 1997

Other

OtherProceedings of the 1997 IEEE Signal Processing Workshop on Higher-Order Statistics, SPW-HOS
CityBanff, Can
Period7/21/977/23/97

All Science Journal Classification (ASJC) codes

  • Signal Processing

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