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Finite sample identifiability of multiple constant modulus sources

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3 Author(s)
Leshem, A. ; Dept. ITS, Delft Univ. of Technol., Netherlands ; Petrochilos, N. ; van der Veen, A.-J.

We prove that mixtures of continuous constant modulus sources can be identified with probability 1 with a finite number of samples (under noise-free conditions). This strengthens earlier results which only considered an infinite number of samples. The proof is based on the linearization technique of the Analytical Constant Modulus Algorithm, together with a simple inductive argument. We then study the finite alphabet case. In this case we provide an upper bound on the probability of non-identifiability for finite sample of sources. We show that under practical assumptions, this upper bound is tighter than the currently known bound.

Published in:

Sensor Array and Multichannel Signal Processing Workshop Proceedings, 2002

Date of Conference:

4-6 Aug. 2002