On the Precoder Design for Block Diagonalized MIMO Broadcast Channels

Block diagonalization (BD) is a linear precoding technique for MIMO broadcast channels such that it completely eliminates the multiuser interference. Consequently, the precoder of a user must lie in the null space of a matrix composing of other users' channel matrices. In this way, the problem...

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Bibliographic Details
Published in:IEEE communications letters Vol. 16; no. 8; pp. 1165 - 1168
Main Authors: Tran, Le-Nam, Juntti, Markku, Hong, Een-Kee
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.08.2012
Institute of Electrical and Electronics Engineers
Subjects:
Algorithm design and analysis
Applied sciences
broadcast channel
Coding, codes
Complexity theory
Detection, estimation, filtering, equalization, prediction
Exact sciences and technology
Information, signal and communications theory
Matrix decomposition
MIMO
Null space
Receiving antennas
Signal and communications theory
Signal, noise
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Transmission and modulation (techniques and equipments)
zero-forcing
MIMO system
Multiple access
Diagonalization
Noise reduction
Coding circuit
broadcast channel
Inverse problem
Interference suppression
zero-forcing
Inverse matrix
Coding
Linear algebra
Broadcast channels
Signal processing
MIMO
Pretreatment
Singular value decomposition
ISSN:1089-7798
Online Access:Get full text
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Summary:Block diagonalization (BD) is a linear precoding technique for MIMO broadcast channels such that it completely eliminates the multiuser interference. Consequently, the precoder of a user must lie in the null space of a matrix composing of other users' channel matrices. In this way, the problem of the precoder design is closely related to finding a basis of the null space of the matrix, which can be computed by, e.g., the singular value decomposition (SVD). Recently, a generalized channel inversion (GCI) method was introduced as a low-complexity design for BD. The GCI-based precoder design is also shown to be optimal for BD. However, since the GCI-based design relies on the pseudo-inverse of a matrix, there are many settings, to which this method is not applicable. In this letter, we first provide a connection between the SVD- and GCI-based designs using the results from linear algebra. Then, from this connection, we propose a precoder design that is devised for the cases where the GCI-based method cannot handle.
ISSN:1089-7798
DOI:10.1109/LCOMM.2012.060112.120638