Bispectrum estimation using a MISO autoregressive model

Title Bispectrum estimation using a MISO autoregressive model
Author Erdem, Tanju, Ercan, Ali Özer
Publication Date: 2016
Publication Place - Springer International Publishing
Subject Bispectrum estimation, Bicumulant sequence, MISO autoregressive system, System identification
Type Periodical
Language English
Digital Yes
Manuscript No
Library: Özyeğin University
Library Asset ID 1863-1711
Record ID 56086444-44c0-42f7-b787-fd56e2e16dcb
Library Location Electrical & Electronics Engineering, Computer Science
Date 2016
Notes Due to copyright restrictions, the access to the full text of this article is only available via subscription.
Sample Text Bispectra are third-order statistics that have been used extensively in analyzing nonlinear and non-Gaussian data. Bispectrum of a process can be computed as the Fourier transform of its bicumulant sequence. It is in general hard to obtain reliable bicumulant samples at high lags since they suffer from large estimation variance. This paper proposes a novel approach for estimating bispectrum from a small set of given low lag bicumulant samples. The proposed approach employs an underlying MISO system composed of stable and causal autoregressive components. We provide an algorithm to compute the parameters of such a system from the given bicumulant samples. Experimental results show that our approach is capable of representing non-polynomial spectra with a stable underlying system model, which results in better bispectrum estimation than the leading algorithm in the literature.
DOI 10.1007/s11760-016-0888-3
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Bispectrum estimation using a MISO autoregressive model

Author Erdem, Tanju, Ercan, Ali Özer
Publication Date 2016
Publication Place - Springer International Publishing
Subject Bispectrum estimation, Bicumulant sequence, MISO autoregressive system, System identification
Type Periodical
Language English
Digital Yes
Manuscript No
Library Özyeğin University
Library Asset ID 1863-1711
Record ID 56086444-44c0-42f7-b787-fd56e2e16dcb
Library Location Electrical & Electronics Engineering, Computer Science
Date 2016
Notes Due to copyright restrictions, the access to the full text of this article is only available via subscription.
Sample Text Bispectra are third-order statistics that have been used extensively in analyzing nonlinear and non-Gaussian data. Bispectrum of a process can be computed as the Fourier transform of its bicumulant sequence. It is in general hard to obtain reliable bicumulant samples at high lags since they suffer from large estimation variance. This paper proposes a novel approach for estimating bispectrum from a small set of given low lag bicumulant samples. The proposed approach employs an underlying MISO system composed of stable and causal autoregressive components. We provide an algorithm to compute the parameters of such a system from the given bicumulant samples. Experimental results show that our approach is capable of representing non-polynomial spectra with a stable underlying system model, which results in better bispectrum estimation than the leading algorithm in the literature.
DOI 10.1007/s11760-016-0888-3
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