[CDS18] Performance of a Third-order Volterra MVDR Beamformer in the Presence of Non-Gaussian and/or Non-circular Interference
Conférence Internationale avec comité de lecture :
European Signal Processing Conference (EUSIPCO'18),
September 2018,
pp.1-5,
Roma,
Italy,
Mots clés: MVDR, Beamforming, Volterra, third-order, Non Linear, Non Gaussian, Non Circular, Interference
Résumé:
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 have
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.