Analytical Blind Channel Identification

Olivier Grellier Pierre Comon 1 Bernard Mourrain Philippe Trébuchet 2
1 I3S - Laboratoire d'Informatique, Signaux, et Systèmes de Sophia Antipolis
2 CALFOR - Calcul formel
LIP6 - Laboratoire d'Informatique de Paris 6
Abstract : A novel analytical blind single-input single-output (SISO) identification algorithm is presented, based on the noncircular second-order statistics of the output. It is shown that statistics of order higher than two are not mandatory to restore identifiability. Our approach is valid, for instance, when the channel is excited by phase shift keying (PSK) inputs. It is shown that the channel taps need to satisfy a polynomial system of degree 2 and that identification amounts to solving the system. We describe the algorithm that is able to solve this particular system entirely analytically, thus avoiding local minima. Computer results eventually show the robustness with respect to noise and to channel length overdetermination. Identifiability issues are also addressed.
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Journal articles
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Submitted on : Tuesday, May 5, 2015 - 11:58:23 AM
Last modification on : Saturday, December 8, 2018 - 1:28:33 AM

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UPMC | LIP6 | I3S | UNICE | UNIV-COTEDAZUR | SORBONNE-UNIVERSITE

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Olivier Grellier, Pierre Comon, Bernard Mourrain, Philippe Trébuchet. Analytical Blind Channel Identification. IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 2002, 50 (9), pp.2196-2207. ⟨10.1109/TSP.2002.801887⟩. ⟨hal-01148748⟩

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