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On the capacity of a class of signal-dependent noise channels

Ghourchian, H ; Sharif University of Technology | 2018

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  1. Type of Document: Article
  2. DOI: 10.1109/TIT.2018.2867599
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2018
  4. Abstract:
  5. In some applications, the variance of additive measurement noise depends on the signal that we aim to measure. For instance, additive signal-dependent Gaussian noise (ASDGN) channel models are used in molecular and optical communication. Herein, we provide lower and upper bounds on the capacity of additive signal-dependent noise (ASDN) channels. The first lower bound is based on an extension of majorization inequalities, and the second lower bound utilizes the properties of the differential entropy. The lower bounds are valid for arbitrary ASDN channels. The upper bound is based on a previous idea of the authors ('symmetric relative entropy') and is applied to the ASDGN channels. These bounds indicate that in the ASDN channels (unlike the classical additive white Gaussian noise channels), the capacity does not necessarily become larger by reducing the noise variance function. We also provide sufficient conditions under which the capacity becomes infinite. This is complemented by some conditions implying that the capacity is finite, and a unique capacity achieving measure exists (in the sense of the output measure). © 2018 IEEE
  6. Keywords:
  7. Existence of capacity-achieving distribution ; Signal-dependent noise channels ; Additives ; Channel capacity ; Entropy ; Fading channels ; Gaussian distribution ; Optical communication ; Signal to noise ratio ; White noise ; AWGN channel ; Capacity achieving distribution ; Channels with infinite capacity ; Molecular communication ; Signal dependent noise ; Upper Bound ; Gaussian noise (electronic)
  8. Source: IEEE Transactions on Information Theory ; Volume 64, Issue 12 , 2018 , Pages 7828-7846 ; 00189448 (ISSN)
  9. URL: https://ieeexplore.ieee.org/document/8450017