The capacity of a Rayleigh-fading channel with no receiver CSI
and fast fading is discussed in :
I.C. Abou-Faycal, M. Trott and S. Shamai, "The Capacity of
Discrete-Time Memoryless Rayleigh-Fading Channels,"
IEEE Trans. on Information Theory, vol. 47, May 2001.
Noncoherent receivers are covered in most digital communication
text books, for example, see Sect. 5.4 in:
J. Proakis, Digital Communications, 3rd ed., McGraw-Hill, 1995.
The double-logarithmic growth in the capacity of i.i.d.
Rayleigh-fading channels with no receiver CSI is discussed in:
A. Lapidoth and S. Moser, "Capacity Bounds via Duality with applications to
Mulitple-Antenna Systems on Flat Fading Channels," IEEE Trans. on Information Theory
, vol. 49, No. 10, Oct. 2003.
The convergence rate of the no-CSI capacity to the known (at
receiver) CSI capacity in a block
fading model (as the block length increases) can be
T. Marzetta and B. Hochwald, "Capacity of a Mobile Multiple Antenna Communication Link in
Rayleigh Flat Fading," IEEE Trans. on Infor. Th., Jan. 1999.
The model discussed for receiver uncertainty and the corresponding capacity
bounds can be found in:
M. Medard, "The Effect upon Channel Capacity in Wireless
Communications of Perfect and Imperfect Knowledge of the
Channel," IEEE Trans. on Infor. Th., May 2000.