NDLI: Calculation the infinite norm ball of constant modulus receivers by D-K iterations

Content Provider	IEEE Xplore Digital Library
Author	Shing Tenqchen Ying-Haw Shu Ming-Chang Sun Wu-Shiung Feng
Copyright Year	2003
Description	Author affiliation: Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan (Shing Tenqchen; Ying-Haw Shu; Ming-Chang Sun)
Abstract	We propose a method to calculate the infinite norm ball for the geometrical characterization of the constant modulus algorithm (CMA) and O. Shalvi and E. Weinstein's blind estimation of linear receivers (IEEE Trans. Inform. Theory, vol.36, no.2, p.312-20, 1990). The constant modulus algorithm uses the second and fourth order moments of a pre-whitened chip-rate received signal. The approach provides a framework within which various blind and non-blind Wiener receivers can find an ellipsoid by infinite norm balls of different types. A necessary and sufficient condition for equivalence among constant modulus, Shalvi-Weinstein, zero-forcing, and Wiener receivers is obtained. Their locations and their relationship with Wiener receivers are provided for the special orthogonal channel and general two-dimensional (2D) channel-receiver impulse response. It is also shown from the calculation of the infinite norm ball via D-K iterations in 2D, that each CM or SW receiver can be obtained associated with one and only one Wiener receiver for a QAM system. Some design examples are simulated to verify our results.
Sponsorship	IEEE Signal Processing Soc. IEEE Circuits & Syst. Soc
Starting Page	126
Ending Page	132
File Size	475828
Page Count	7
File Format	PDF
ISBN	0780377958
ISSN	15206130
DOI	10.1109/SIPS.2003.1235656
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2003-08-27
Publisher Place	South Korea
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Quadrature amplitude modulation Blind equalizers Cost function Random variables Sun Stochastic processes Ellipsoids Sufficient conditions Two dimensional displays Vectors
Content Type	Text
Resource Type	Article

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