NDLI: Quantization Methods for Equal Gain Transmission With Finite Rate Feedback

Content Provider	IEEE Xplore Digital Library
Author	Murthy, C.R. Rao, B.D.
Copyright Year	1991
Abstract	We consider the design and analysis of quantizers for equal gain transmission (EGT) systems with finite rate feedback-based communication in flat-fading multiple input single output (MISO) systems. EGT is a beamforming technique that maximizes the MISO channel capacity when there is an equal power-per-antenna constraint at the transmitter, and requires the feedback of t-1 phase angles, when there are t antennas at the transmitter. In this paper, we contrast two popular approaches for quantizing the phase angles: vector quantization (VQ) and scalar quantization (SQ). On the VQ side, using the capacity loss with respect to EGT with perfect channel information at transmitter as performance metric, we develop a criterion for designing the beamforming codebook for quantized EGT (Q-EGT). We also propose an iterative algorithm based on the well-known generalized Lloyd algorithm, for computing the beamforming vector codebook. On the analytical side, we study the performance of Q-EGT and derive closed-form expressions for the performance in terms of capacity loss and outage probability in the case of i.i.d. Rayleigh flat-fading channels. On the SQ side, assuming uniform scalar quantization and i.i.d. Rayleigh flat-fading channels, we derive the high-resolution performance of quantized EGT and contrast the performance with that of VQ. We find that although both VQ and SQ achieve the same rate of convergence (to the capacity with perfect feedback) as the number of feedback bits B increases, there exists a fixed gap between the two
Sponsorship	IEEE Signal Processing Society
Starting Page	233
Ending Page	245
Page Count	13
File Size	637139
File Format	PDF
ISSN	1053587X
Volume Number	55
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Feedback Array signal processing Transmitters Iterative algorithms Performance loss Channel capacity Transmitting antennas Antenna feeds Vector quantization Propagation losses vector quantization (VQ) channel state information (CSI) equal gain transmission (EGT) maximum ratio transmission (MRT) multiple antennas transmit beamforming uniform scalar quantization
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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