Performance of a Third-Order Volterra Mvdr Beamformer in the Presence of Non-Gaussian and/or Non-Circular Interference. Chevalier, P., Delmas, J. P., & Sadok, M. In 2018 26th European Signal Processing Conference (EUSIPCO), pages 807-811, Sep., 2018.
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Paper doi abstract bibtex
Paper doi abstract bibtex Linear beamformers are optimal, in a mean square (MS) sense, when the signal of interest (SOI) and observations are jointly Gaussian and circular. When the SOI and observations are zero-mean, jointly Gaussian and non-circular, optimal beamformers become widely linear (WL). They become non-linear with a structure depending on the unknown joint probability distribution of the SOI and observations when the latter are jointly non-Gaussian, assumption which is very common in radiocommunications. In this context, a third-order Volterra minimum variance distortionless response (MVDR) beamformer has been introduced recently for the reception of a SOI, whose waveform is unknown, but whose steering vector is known, corrupted by non-Gaussian and potentially non-circular interference, omnipresent in practical situations. However its statistical performance has not yet been analyzed. The aim of this paper is twofold. We first introduce an equivalent generalized sidelobe canceller (GSC) structure of this beamformer and then, we present an analytical performance analysis of the latter in the presence of one interference. This allows us to quantify the improvement of the performance with respect to the linear and WL MVDR beamformers.
@InProceedings{8553586,
author = {P. Chevalier and J. P. Delmas and M. Sadok},
booktitle = {2018 26th European Signal Processing Conference (EUSIPCO)},
title = {Performance of a Third-Order Volterra Mvdr Beamformer in the Presence of Non-Gaussian and/or Non-Circular Interference},
year = {2018},
pages = {807-811},
abstract = {Linear beamformers are optimal, in a mean square (MS) sense, when the signal of interest (SOI) and observations are jointly Gaussian and circular. When the SOI and observations are zero-mean, jointly Gaussian and non-circular, optimal beamformers become widely linear (WL). They become non-linear with a structure depending on the unknown joint probability distribution of the SOI and observations when the latter are jointly non-Gaussian, assumption which is very common in radiocommunications. In this context, a third-order Volterra minimum variance distortionless response (MVDR) beamformer has been introduced recently for the reception of a SOI, whose waveform is unknown, but whose steering vector is known, corrupted by non-Gaussian and potentially non-circular interference, omnipresent in practical situations. However its statistical performance has not yet been analyzed. The aim of this paper is twofold. We first introduce an equivalent generalized sidelobe canceller (GSC) structure of this beamformer and then, we present an analytical performance analysis of the latter in the presence of one interference. This allows us to quantify the improvement of the performance with respect to the linear and WL MVDR beamformers.},
keywords = {array signal processing;interference (signal);interference suppression;probability;radiocommunication;nonGaussian interference;third-order Volterra minimum variance distortionless response beamformer;unknown joint probability distribution;observations;SOI;mean square;linear beamformers;third-order Volterra MVDR beamformer;WL MVDR beamformers;analytical performance analysis;equivalent generalized sidelobe canceller structure;statistical performance;potentially noncircular interference;Interference;Signal to noise ratio;Europe;Performance analysis;Electric potential;Sensor arrays;Beamformer;non-circular;non-Gaussian;higher order;interferences;MVDR;Volterra;widely non linear;widely linear;third order;fourth order;sixth order},
doi = {10.23919/EUSIPCO.2018.8553586},
issn = {2076-1465},
month = {Sep.},
url = {https://www.eurasip.org/proceedings/eusipco/eusipco2018/papers/1570430863.pdf},
}Downloads: 0
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