Structure of an Optimum Linear Precoder and its Application to ML Equalizer

The structure of an optimum linear precoder for a rotation-invariant performance measure is obtained subject to the constraint of limited input power for a block transmission scheme. It is shown that several known performance measures of a communication system are rotation invariant. The rotation in...

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Bibliographic Details
Published in:IEEE transactions on signal processing Vol. 56; no. 8; pp. 3690 - 3701
Main Authors: Lokesh, S.S., Kumar, A., Agrawal, M.
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.08.2008
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Applied sciences
Bit error rate
Channel capacity
Codes
Constraint optimization
Decision feedback equalizers
Detection, estimation, filtering, equalization, prediction
Equalizer
Equalizers
Error analysis
Errors
Exact sciences and technology
Feedback
Information, signal and communications theory
Invariants
Least mean squares algorithm
Maximization
maximum likelihood (ML)
Mean square error methods
Mean square errors
Miscellaneous
Modulation, demodulation
multiple-input multiple-output (MIMO)
Optimization
optimum beamforming
Phase shift keying
Power measurement
precoder
rotation invariance
Rotation measurement
Signal and communications theory
Signal processing
Signal to noise ratio
Signal, noise
Studies
Telecommunications and information theory
Transmitters
Performance evaluation
MIMO system
Channel capacity
Input signal
Bit error rate
optimum beamforming
precoder
Equalizer
Binary phase shift keying
Information transmission
Beam forming
Optimization
Mean square error
rotation invariance
maximum likelihood (ML)
Rotational invariance
Telecommunication system
Signal processing
Minimal distance
Maximum likelihood
Signal to noise ratio
multiple- input multiple-output (MIMO)
ISSN:1053-587X, 1941-0476
Online Access:Get full text
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Summary:The structure of an optimum linear precoder for a rotation-invariant performance measure is obtained subject to the constraint of limited input power for a block transmission scheme. It is shown that several known performance measures of a communication system are rotation invariant. The rotation invariant property provides a unified framework for obtaining the structure of an optimum linear precoder for several criteria such as: 1) maximization of minimum distance; 2) maximization of channel capacity; and 3) optimization of different performance measures, such as bit-error rate (BER), mean square error, signal-to-noise ratio of optimum equalizers (linear minimum mean square error, zero-forcing, maximum likelihood (ML), zero forcing-block decision feedback, minimum mean square error-block decision feedback, etc.). This framework provides a method for obtaining the structure of an optimum linear precoder for BER performance measure of the ML equalizer. The structure turns out to be a channel diagonalizing structure after a prerotation of the input constellation. Using this structure, the properties of the optimum precoder that minimize the BER of the ML equalizer for two binary phase-shift keying symbols transmission under input-power constraint are studied.
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ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2008.920147