Spatial Multiplexing for Noncoherent Reception in MIMO Systems With Binary ASK: Optimal Precoder Design

This paper focuses on precoder optimization of a spatially multiplexed multiple-input multiple-output (MIMO) system with noncoherent reception in a correlated Rayleigh fading environment. We consider a Kronecker product model for the channel correlation with a transmit equicorrelation matrix and a r...

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Veröffentlicht in:IEEE transactions on wireless communications Jg. 22; H. 2; S. 856 - 871
Hauptverfasser: Biswas, Pialy, Mallik, Ranjan K.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York IEEE 01.02.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:
Computation
Constellations
Correlation
Correlation analysis
Design optimization
Massive MIMO
MIMO communication
Multiple-input multiple-output (MIMO)
Multiplexing
noncoherent reception
optimal precoder matrix
Parameters
Product models
Receiving antennas
Saturation
Signal to noise ratio
spatial multiplexing
symbol vector error probability (SVEP)
Symbols
Transmitting antennas
Wireless communication
ISSN:1536-1276, 1558-2248
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Zusammenfassung:This paper focuses on precoder optimization of a spatially multiplexed multiple-input multiple-output (MIMO) system with noncoherent reception in a correlated Rayleigh fading environment. We consider a Kronecker product model for the channel correlation with a transmit equicorrelation matrix and a receive correlation matrix which is diagonal. The transmit symbol vector, in which the symbols are taken from two binary constellations <inline-formula> <tex-math notation="LaTeX">\{0,1\} </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">\{1,-r\} </tex-math></inline-formula> (with <inline-formula> <tex-math notation="LaTeX">0\leq r < 1 </tex-math></inline-formula>), is premultiplied by a diagonal precoder matrix with positive precoder parameters. As the average signal-to-noise ratio per diversity branch becomes large, the symbol vector error probability (SVEP) tends to reach saturation. We minimize this saturation value with respect to the precoder parameters and the constellation parameter <inline-formula> <tex-math notation="LaTeX">r </tex-math></inline-formula>. It is found from computation that the optimal precoder parameters are approximately in geometric progression for both constellations. By observing the patterns in optimal values obtained from computation, we simplify the optimization problem. This simplification reduces the computational effort required to solve the complex minimization problem without affecting the SVEP significantly. Furthermore, in the case of the constellation <inline-formula> <tex-math notation="LaTeX">\{1,-r\} </tex-math></inline-formula>, it is found from computation that as the number of transmit antennas increases, the optimal value of <inline-formula> <tex-math notation="LaTeX">r </tex-math></inline-formula> decreases.
Bibliographie:ObjectType-Article-1
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ISSN:1536-1276
1558-2248
DOI:10.1109/TWC.2022.3198714