NDLI: A lower bound on the noncoherent capacity pre-log for the MIMO channel with temporally correlated fading

Content Provider	IEEE Xplore Digital Library
Author	Koliander, G. Riegler, E. Durisi, G. Morgenshtern, V.I. Hlawatsch, F.
Copyright Year	2012
Description	Author affiliation: Institute of Telecommunications, Vienna University of Technology, 1040 Vienna, Austria (Koliander, G.; Riegler, E.; Hlawatsch, F.) \|\| Department of Signals and Systems, Chalmers University of Technology, 41296 Gothenburg, Sweden (Durisi, G.) \|\| Department of Statistics, Stanford University, CA 94305, USA (Morgenshtern, V.I.)
Abstract	We derive a lower bound on the capacity pre-log of a temporally correlated Rayleigh block-fading multiple-input multiple-output (MIMO) channel with T transmit antennas and R receive antennas in the noncoherent setting (no a priori channel knowledge at the transmitter and the receiver). In this model, the fading process changes independently across blocks of length L and is temporally correlated within each block for each transmit-receive antenna pair, with a given rank Q of the corresponding correlation matrix. Our result implies that for almost all choices of the coloring matrix that models the temporal correlation, the pre-log can be lower-bounded by T(1 − 1/L) for T ≤ (L − 1)/Q provided that R is sufficiently large. The widely used constant block-fading model is equivalent to the temporally correlated block-fading model with Q = 1 for the special case when the temporal correlation for each transmit-receive antenna pair is the same, which is unlikely to be observed in practice. For the constant block-fading model, the capacity pre-log is given by T(1 − T/L), which is smaller than our lower bound for the case Q = 1. Thus, our result suggests that the assumptions underlying the constant blockfading model lead to a pessimistic result for the capacity pre-log.
Starting Page	1198
Ending Page	1205
File Size	610844
Page Count	8
File Format	PDF
ISBN	9781467345378
e-ISBN	9781467345392
DOI	10.1109/Allerton.2012.6483354
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-10-01
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Fading Correlation Transmitting antennas Receiving antennas Vectors MIMO Entropy
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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