On the equivalence of three reduced rank linear estimators with applications to DS-CDMA

This correspondence shows the equivalence of three previously proposed reduced-rank detection schemes for direct-sequence code-division multiple-access (DS-CDMA) communication systems. The auxiliary vector filtering (AVF) algorithm is simplified through a key observation on the construction of the a...

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Bibliographic Details
Published in:IEEE transactions on information theory 2002-09, Vol.48 (9), p.2609-2614
Main Authors: Wanshi Chen, Mitra, U., Schniter, P.
Format: Article
Language:English
Subjects:
Algebra
Code division multiaccess
Estimates
Estimation
Least mean square methods
Linear programming
Mathematical models
Receivers
Reduced order systems
Signal detection
Spread spectrum communication
Wiener filtering
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Summary:This correspondence shows the equivalence of three previously proposed reduced-rank detection schemes for direct-sequence code-division multiple-access (DS-CDMA) communication systems. The auxiliary vector filtering (AVF) algorithm is simplified through a key observation on the construction of the auxiliary vectors. After simplification, it is shown that the AVF algorithm is equivalent to the multistage Wiener filtering (MWF) algorithm of Honig and Goldstein (2002). Furthermore, these schemes can be shown to be equivalent to the multistage linear receiver scheme based on the Cayley-Hamilton (CH) theorem when the minimum mean-square error (MMSE) criterion is applied to the reduced dimensional space of the received signal.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2002.801472