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On the sensitivity of third-order Volterra MVDR beamformers to interference-pulse shaping filter

Abstract : Linear beamformers are optimal, in a mean square (MS) sense, when the signal of interest (SOI) and observations are jointly Gaussian and circular. Otherwise, optimal beamformers become non-linear with a structure depending on the unknown joint probability distribution of the SOI and observations. In this context, third-order Volterra minimum variance distortionless response (MVDR) beamformers have been proposed recently to improve the performance of linear beamformers in the presence of non-Gaussian and potentially non-circular interference, omnipresent in practical situations. High performance gains have been obtained for binary phase shift keying (BPSK) and quadrature phase shift keying (QPSK) interference having a square pulse shaping filter in particular. However in practice, for spectral efficiency reasons, most of signals use non-square pulse shaping filters, such as square root raised cosine filter. It is then important to analyze the sensitivity of third-order MVDR beamformers to interference pulse shaping filter, which is the purpose of this paper.
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Submitted on : Monday, February 3, 2020 - 4:39:33 PM
Last modification on : Monday, April 4, 2022 - 10:40:41 AM

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Jean-Pierre Delmas, Pascal Chevalier, Mustapha Sadok. On the sensitivity of third-order Volterra MVDR beamformers to interference-pulse shaping filter. Signal Processing, Elsevier, 2020, 170, pp.107424-1:107424-7. ⟨10.1016/j.sigpro.2019.107424⟩. ⟨hal-02461523v2⟩

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