An analytical constant modulus algorithm

Iterative constant modulus algorithms such as Godard (1980) and CMA have been used to blindly separate a superposition of cochannel constant modulus (CM) signals impinging on an antenna array. These algorithms have certain deficiencies in the context of convergence to local minima and the retrieval...

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Bibliographic Details
Published in:IEEE transactions on signal processing Vol. 44; no. 5; pp. 1136 - 1155
Main Authors: van der Veen, A.-J., Paulraj, A.
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.05.1996
Institute of Electrical and Electronics Engineers
Subjects:
Algorithm design and analysis
Antenna arrays
Antennas
Applied sciences
Array signal processing
Blind equalizers
Convergence
Delay
Eigenvalues and eigenfunctions
Exact sciences and technology
Noise robustness
Radiocommunications
Signal analysis
Signal processing algorithms
Telecommunications
Telecommunications and information theory
Signal processing
Beamforming
Experimental result
Algorithm
Antenna array
ISSN:1053-587X
Online Access:Get full text
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Summary:Iterative constant modulus algorithms such as Godard (1980) and CMA have been used to blindly separate a superposition of cochannel constant modulus (CM) signals impinging on an antenna array. These algorithms have certain deficiencies in the context of convergence to local minima and the retrieval of all individual CM signals that are present in the channel. We show that the underlying constant modulus factorization problem is, in fact, a generalized eigenvalue problem, and may be solved via a simultaneous diagonalization of a set of matrices. With this new analytical approach, it is possible to detect the number of CM signals present in the channel, and to retrieve all of them exactly, rejecting other, non-CM signals. Only a modest amount of samples is required. The algorithm is robust in the presence of noise and is tested on measured data collected from an experimental set-up.
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ISSN:1053-587X
DOI:10.1109/78.502327