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Communication Dans Un Congrès Année : 2003

Blind system identification using cross-relation methods : further results and developments

Résumé

We consider the problem of blind identification of FIR systems using the cross-relations (CR) method first introduced in [1]. Our contribution in this paper are as follows: (i) We introduce an extended formulation of the CR identification criterion which generalizes the standard CR criterion used in [2]. It can be shown that many existing multichannel blind identification methods belong to the class of generalized CR methods. (ii) We introduce a new identification method referred to as Minimum Cross-Relations (MCR) method which exploits with minimum redundancy the spatial diversity among the channel outputs. Simulation-based performance analysis of the MCR method and comparisons with CR method are also presented. (iii) Then, we present a modified version of the MCR referred to as the "unbiased MCR" (UMCR) method that leads to unbiased estimation of the channel parameters and better estimation performances without need of noise whitening as in the MCR. (iv) Finally, we discuss the multi-input case and show how additional difficulties arise due to the non-linear parameterization of the noise vectors in terms of the channel parameters.
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Dates et versions

hal-01771571 , version 1 (05-11-2019)

Identifiants

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Abdeldjalil Aissa El Bey, Mimi Grebici, Karim Abed-Meraim, Adel Belouchrani. Blind system identification using cross-relation methods : further results and developments. ISSPA 2003 : 7th IEEE International Symposium on Signal Processing and Its Applications, Jul 2003, Paris, France. pp.649 - 652, ⟨10.1109/ISSPA.2003.1224787⟩. ⟨hal-01771571⟩
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