DocumentCode :
2062585
Title :
The uniqueness of the capacity-achieving distribution over noncoherent flat-fading channels
Author :
Fozunbal, Majid ; McLaughlin, Steven W. ; Schafer, Ronald W.
Author_Institution :
Sch. of ECE, Georgia Inst. of Technol., Atlanta, GA, USA
fYear :
2004
fDate :
27 June-2 July 2004
Firstpage :
541
Abstract :
We prove the uniqueness of the capacity-achieving input distribution for a noncoherent flat-fading channel (Rayleigh or Rician), subject to a second moment constraint. For this purpose, we first show the uniqueness and symmetry of the capacity-achieving output distribution. Then, we establish the assertion by proving that every fading channel is a bijective mapping from the space of symmetric, input distributions to the induced space of symmetric output distributions. This proof is constructive in the sense that for a given symmetric output distribution, one can uniquely determine the input distribution that induced such an output distribution.
Keywords :
Rayleigh channels; Rician channels; channel capacity; probability; bijective mapping; capacity-achieving distribution; noncoherent flat-fading channel; probability distribution; Additive noise; Distribution functions; Fading; Gaussian noise; Instruments; Mutual information; Random variables; Rayleigh channels; Rayleigh scattering; Rician channels;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Theory, 2004. ISIT 2004. Proceedings. International Symposium on
Print_ISBN :
0-7803-8280-3
Type :
conf
DOI :
10.1109/ISIT.2004.1365579
Filename :
1365579
Link To Document :
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