Degrees of Freedom of Generic Block-Fading MIMO Channels Without a Priori Channel State Information
Artikel i vetenskaplig tidskrift, 2014

We study the high-signal-to-noise-ratio capacity of generic multiple-input multiple-output (MIMO) Rayleigh block-fading channels in the noncoherent setting where neither transmitter nor receiver has a priori channel state information but both are aware of the channel statistics. In contrast to the well-established constant block-fading model, we allow the fading to vary within each block with a temporal correlation that is generic (in the sense used in the interference-alignment literature). We show that the number of degrees of freedom of a generic MIMO Rayleigh block-fading channel with T transmit antennas and block length N is given by T(1 - 1/N) provided that T < N and the number of receive antennas is at least T(N - 1)/(N - T). A comparison with the constant block-fading channel (where the fading is constant within each block) shows that, for large block lengths, generic correlation increases the number of degrees of freedom by a factor of up to four.

channel capacity

channel state information

capacity pre-log

Block-fading channels

degrees of freedom




Günther Koliander

Technische Universität Wien

Erwin Riegler

Eidgenössische Technische Hochschule Zürich (ETH)

Giuseppe Durisi

Signaler och system, Kommunikationssystem, informationsteori och antenner, Kommunikationssystem

Franz Hlawatsch

Technische Universität Wien

IEEE Transactions on Information Theory

0018-9448 (ISSN)

Vol. 60 7760-7781 6922542