Capacity of very noisy communication channels based on Fisher information.
We generalize the asymptotic capacity expression for very noisy communication channels to now include coloured noise. For the practical scenario of a non-optimal receiver, we consider the common case of a correlation receiver. Due to the central limit theorem and the cumulative characteristic of a correlation receiver, we model this channel noise as additive Gaussian noise. Then, the channel capacity proves to be directly related to the Fisher information of the noise distribution and the weak signal energy. The conditions for occurrence of a noise-enhanced capacity effect are discussed, and the capacity difference between this noisy communication channel and other nonlinear channels is clarified.
Institute of Complexity Science, Qingdao University, 266071 Qingdao, China.
Fabing
F
Duan
Laboratoire Angevin de Recherche en Ingénierie des Systèmes (LARIS), Université d'Angers, 49000 Angers, France.
François
F
Chapeau-Blondeau
Centre for Biomedical Engineering (CBME) and School of Electrical &Electronic Engineering, The University of Adelaide, Adelaide, SA 5005, Australia.
Derek
D
Abbott