Title
Calculation of Mutual Information for Partially Coherent Gaussian Channels With Applications to Fiber Optics
Abstract
The mutual information between a complex-valued channel input and its complex-valued output is decomposed into four parts based on polar coordinates: an amplitude term, a phase term, and two mixed terms. Numerical results for the additive white Gaussian noise (AWGN) channel with various inputs show that, at high signal-to-noise ratio (SNR), the amplitude and phase terms dominate the mixed terms. For the AWGN channel with a Gaussian input, analytical expressions are derived for high SNR. The decomposition method is applied to partially coherent channels and a property of such channels called “spectral loss” is developed. Spectral loss occurs in nonlinear fiber-optic channels and it may be one effect that needs to be taken into account to explain the behavior of the capacity of nonlinear fiber-optic channels.
Year
DOI
Venue
2011
10.1109/TIT.2011.2162187
IEEE Transactions on Information Theory
Keywords
Field
DocType
index terms,amplitude term,mutual information,spectral loss,coherent channel,phase term,gaussian input,complex-valued channel input,awgn channel,mixed term,partially coherent gaussian channels,fiber optics,additive white gaussian noise,nonlinear fiber-optic channel,decomposition,channel capacity,decomposition method,polar coordinate,fiber optic,phase noise,signal to noise ratio,information theory
Statistical physics,Discrete mathematics,Nonlinear system,Telecommunications,Communication channel,Phase noise,Gaussian,Mutual information,Channel capacity,Additive white Gaussian noise,Amplitude,Mathematics
Journal
Volume
Issue
ISSN
57
9
IEEE Trans. Information Theory 57 (2011) 5720-5736
Citations 
PageRank 
References 
5
0.53
12
Authors
5
Name
Order
Citations
PageRank
B. Goebel150.53
R. Essiambre25312.23
G. Kramer3105377.88
P. J. Winzer4207.80
Norbert Hanik55514.82