On the optimal power allocation for additive color noise parallel channels with limited access constraint

Shih Wei Wang*, Po-Ning Chen, Chung-Hsuan Wang, Wen Chieh Chang

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we consider an (N,K)-limited access system consisting of N parallel additive noise channels with spatial dependency, where the receiver starts to decode the information being transmitted when at least K out of N channel outputs are received. We investigate the optimal power allocation that maximizes the minimum mutual information among all possible cases of partial reception. A universal guideline is then obtained for a group of permutation-invariant channels, in which the system mutual information remains unchanged when permuting the parameters that characterize the partial reception and signal-to-noise power ratio (SNR) of channels, that a channel with less noise power should have larger SNR. When all N channels belong to a permutation-invariant group, we also have that the optimal power allocation problem can be transformed to an equivalent problem for K parallel channels without limited access constraint via a water-filling noise-power-redistribution process. The merit of this transformation can be more evidently seen when the channel input-noise pairs are reduced to be spatially independent with distributions scaled from a common random vector, for which the optimal power allocation solution can be simply obtained by a two-phase water-filling process.

Original languageEnglish
Title of host publication2011 IEEE International Symposium on Information Theory Proceedings, ISIT 2011
Pages336-340
Number of pages5
DOIs
StatePublished - 26 Oct 2011
Event2011 IEEE International Symposium on Information Theory Proceedings, ISIT 2011 - St. Petersburg, Russian Federation
Duration: 31 Jul 20115 Aug 2011

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8104

Conference

Conference2011 IEEE International Symposium on Information Theory Proceedings, ISIT 2011
CountryRussian Federation
CitySt. Petersburg
Period31/07/115/08/11

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  • Cite this

    Wang, S. W., Chen, P-N., Wang, C-H., & Chang, W. C. (2011). On the optimal power allocation for additive color noise parallel channels with limited access constraint. In 2011 IEEE International Symposium on Information Theory Proceedings, ISIT 2011 (pp. 336-340). [6034141] (IEEE International Symposium on Information Theory - Proceedings). https://doi.org/10.1109/ISIT.2011.6034141