Title
A complete characterization of minimax and maximin encoder- decoder policies for communication channels with incomplete statistical description
Abstract
The problem is considered of transmitting a sequence of independent and identically distributed Gaussian random variables over a channel whose statistical description is incomplete. The channel is modeled as one that is conditionally Gaussian, with the unknown part being controlled by a so-called "jammer" who may have access to the input to the encoder and operates under a given power constraint. By adopting a game-theoretic approach, a complete set of solutions is obtained (encoder and decoder mappings, and least-favorable distributions for the channel noise) for this statistical decision problem, under two different sets of conditions, depending on whether the encoder mapping is deterministic or stochastic. In the latter case, existence of a mixed saddle-point solution can be verified when a side channel of a specific nature is available between the transmitter and the receiver. In the former case, however, only minimax and maximin solutions can be derived.
Year
DOI
Venue
1985
10.1109/TIT.1985.1057076
Information Theory, IEEE Transactions  
Keywords
Field
DocType
Coding/decoding,Minimax optimization,Radio communication countermeasures
Decision problem,Combinatorics,Random variable,Minimax,Computer science,Communication channel,Gaussian,Encoder,Independent and identically distributed random variables,Side channel attack
Journal
Volume
Issue
ISSN
31
4
0018-9448
Citations 
PageRank 
References 
27
5.36
2
Authors
2
Name
Order
Citations
PageRank
Basar, T.1275.36
Wu D., Y.-W.2275.36