G. Koliander, E. Riegler, G. Durisi, V. Morgenshtern, F. Hlawatsch:

"A Lower Bound on the Noncoherent Capacity Pre-log for the MIMO Channel with Temporally Correlated Fading";

Talk: Allerton Conference on Communication, Control, and Computing, Monticello, IL, USA; 10-01-2012 - 10-05-2012; in: "50th Annual Allerton Conference on Communication, Control, and Computing", (2012), ISBN: 978-1-4673-4537-8; 1198 - 1205.

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.

information theory, noncoherent communication, MIMO

http://dx.doi.org/10.1109/Allerton.2012.6483354

http://publik.tuwien.ac.at/files/PubDat_211866.pdf

Project Head Erwin Herbert Riegler:

Nicht kohärente Übertragungsverfahren für Zeit-Frequenz selektive Mobilfunkkanäle

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