Diversity of MIMO Linear Precoding

This paper studies multiple-input multiple-output linear precoding in the high-signal-to-noise-ratio regime under flat fading. The diversity at all fixed rates is analyzed for a number of linear precoders. The diversity-multiplexing tradeoffs (DMTs) are also obtained, discovering that for many linea...

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Bibliographic Details
Published in:IEEE transactions on information theory Vol. 60; no. 2; pp. 1019 - 1038
Main Authors: Mehana, Ahmed Hesham, Nosratinia, Aria
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.02.2014
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Antennas
Applied sciences
Coding, codes
Data processing
Detection, estimation, filtering, equalization, prediction
diversity
Equalization
Error detection
Exact sciences and technology
Filtering
Gain
Information theory
Information, signal and communications theory
Input output
Interference
Manganese
Matched filters
Mean square errors
MIMO
MMSE
Multiplexers
Multiplexing
precoder
Receiving antennas
Signal and communications theory
Signal to noise ratio
Signal, noise
Spectra
Telecommunications and information theory
zero forcing
Performance evaluation
Fading
Multiplexing
MIMO system
Wiener filtering
Coding circuit
precoder
Equalization
Optimization
Mean square error
Matched filter
Medium frequency
diversity
zero forcing
Coding
MMSE
MIMO
Pretreatment
Antenna
Signal to noise ratio
ISSN:0018-9448, 1557-9654
Online Access:Get full text
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Summary:This paper studies multiple-input multiple-output linear precoding in the high-signal-to-noise-ratio regime under flat fading. The diversity at all fixed rates is analyzed for a number of linear precoders. The diversity-multiplexing tradeoffs (DMTs) are also obtained, discovering that for many linear precoders the DMT gives no direct insight into the intricate behavior of fixed-rate diversity. The zero-forcing (ZF), regularized ZF, matched filtering, and Wiener filtering precoders are analyzed. It is shown that regularized ZF (RZF) or matched filter (MF) suffers from error floors for all positive multiplexing gains. However, in the fixed rate regime, RZF and MF precoding achieve full diversity for spectral efficiencies up to a certain threshold and zero diversity at rates above it. When the regularization parameter in the RZF is optimized in the minimum mean square error sense, the structure is known as the Wiener precoder, which in the fixed-rate regime is shown to have diversity that depends not only on the number of antennas, but also on the spectral efficiency. The diversity in the presence of both precoding and equalization is also analyzed.
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ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2013.2289860