Precoding techniques for undersampled multireceiver communication systems

Although there have been extensive studies on the blind equalization problem for temporally or/and spatially oversampled communication signals, the literature is not equally rich for undersampled, and possibly multiuser, wireless systems. In this paper, we investigate the feasibility of blind signal...

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Bibliographic Details
Published in:IEEE transactions on signal processing 2000-07, Vol.48 (7), p.1853-1863
Main Authors: Hui Liu, Xia, Xiang-gen
Format: Article
Language:English
Subjects:
Ambiguity
Applied sciences
Array signal processing
Bandwidth
Blind equalizers
Blinds
Communication systems
Derivation
Detection, estimation, filtering, equalization, prediction
Diversity reception
Engineering profession
Equalization
Exact sciences and technology
Finite impulse response filter
Information, signal and communications theory
Mathematical analysis
Recovery
Signal and communications theory
Signal processing
Signal processing algorithms
Signal, noise
Studies
Sufficient conditions
Telecommunications and information theory
Transmitters
Wireless communication
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Summary:Although there have been extensive studies on the blind equalization problem for temporally or/and spatially oversampled communication signals, the literature is not equally rich for undersampled, and possibly multiuser, wireless systems. In this paper, we investigate the feasibility of blind signal recovery from undersampled data collected from a plurality of receivers. We show that although an undersampled communication system is not completely identifiable in general, such an obstacle can be overcome by employing proper precoding with an arbitrary amount of bandwidth expansion in the transmitter. The main contribution of this paper is the formulation of a generic framework for all undersampled systems and the derivation of necessary and sufficient conditions for a class of filters (which we term ambiguity resistant precoders) that allow the blind recovery of the transmitted signal. A family of such precoders is given. We discuss various related issues and show, for example, that block precoders, i.e., memoryless precoders, are not ambiguity resistant. In addition, we derive an algorithm that can accomplish blind equalization with a finite number of observations.
ISSN:1053-587X
1941-0476
DOI:10.1109/78.847772