Log-concavity property of the error probability with application to local bounds for wireless communications
Name
Conti_Log-Concavity-Property.pdf
Size
424.48 KB
Format
Adobe PDF
Checksum (MD5)
f45b3b9a85e15a904ba47b8fc8d7a7c6
Author(s)
Tralli, V.
Sidenko, S.
Panchenko, Dmitry A.
Conti, Andrea
Date Issued
May 2009
Journal
IEEE Transactions on Information Theory
Publisher
Institute of Electrical and Electronics Engineers
Citation
Conti, A. et al. “Log-Concavity Property of the Error Probability With Application to Local Bounds for Wireless Communications.” Information Theory, IEEE Transactions on 55.6 (2009): 2766-2775. © 2009 IEEE
Version
Final published version
Abstract
clear understanding of the behavior of error probability (EP) as a function of signal-to-noise ratio (SNR) and other system parameters is fundamental for assessing the design of digital wireless communication systems. We propose an analytical framework based on the log-concavity property of the EP which we prove for a wide family of multidimensional modulation formats in the presence of Gaussian disturbances and fading. Based on this property, we construct a class of local bounds for the EP that improve known generic bounds in a given region of the SNR and are invertible, as well as easily tractable for further analysis. This concept is motivated by the fact that communication systems often operate with performance in a certain region of interest (ROI) and, thus, it may be advantageous to have tighter bounds within this region instead of generic bounds valid for all SNRs. We present a possible application of these local bounds, but their relevance is beyond the example made in this paper.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
http://dx.doi.org/10.1109/TIT.2009.2018273
