TY - GEN
T1 - Capacity of block Rayleigh fading channels without CSI
AU - Chowdhury, Mainak
AU - Goldsmith, Andrea
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2016/8/10
Y1 - 2016/8/10
N2 - A system with a single antenna at the transmitter and receiver and no channel state information at either is considered. The channel experiences block Rayleigh fading with a coherence time of T0 symbol times and the fading statistics are assumed to be known perfectly. The system operates with a finite average transmit power. It is shown that the capacity optimal input distribution in the T0-dimensional space is the product of the distribution of an isotropically-distributed unit vector and a distribution on the 2-norm in the T0-dimensional space which is discrete and has a finite number of points in the support. Numerical evaluations of this distribution and the associated capacity for a channel with fading and Gaussian noise for a coherence time T0 = 2 are presented for representative SNRs. It is also shown numerically that an implicit channel estimation is done by the capacity-achieving scheme.
AB - A system with a single antenna at the transmitter and receiver and no channel state information at either is considered. The channel experiences block Rayleigh fading with a coherence time of T0 symbol times and the fading statistics are assumed to be known perfectly. The system operates with a finite average transmit power. It is shown that the capacity optimal input distribution in the T0-dimensional space is the product of the distribution of an isotropically-distributed unit vector and a distribution on the 2-norm in the T0-dimensional space which is discrete and has a finite number of points in the support. Numerical evaluations of this distribution and the associated capacity for a channel with fading and Gaussian noise for a coherence time T0 = 2 are presented for representative SNRs. It is also shown numerically that an implicit channel estimation is done by the capacity-achieving scheme.
KW - Block fading channels
KW - capacityachieving input distribution
KW - no CSI
KW - noncoherent communications
UR - https://www.scopus.com/pages/publications/84986001315
U2 - 10.1109/ISIT.2016.7541626
DO - 10.1109/ISIT.2016.7541626
M3 - Conference contribution
AN - SCOPUS:84986001315
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 1884
EP - 1888
BT - Proceedings - 2016 IEEE International Symposium on Information Theory, ISIT 2016
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2016 IEEE International Symposium on Information Theory, ISIT 2016
Y2 - 10 July 2016 through 15 July 2016
ER -