Computer Science – Information Theory
Scientific paper
2010-03-31
IEEE Trans. Information Theory 57 (2011) 5720-5736
Computer Science
Information Theory
30 pages, 9 figures, accepted for publication in IEEE Transactions on Information Theory
Scientific paper
10.1109/TIT.2011.2162187
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 presented in recent studies.
Essiambre René-Jean
Goebel Bernhard
Hanik Norbert
Kramer Gerhard
Winzer Peter J.
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