Title :
On properties of rate-reliability-distortion functions
Author :
Harutyunyan, Ashot N. ; Haroutunian, Evgueni A.
Author_Institution :
Epygi Labs AM LLC, Yerevan, Armenia
Abstract :
Some important properties of the rate-reliability-distortion function of discrete memoryless source (DMS) are established. For the binary source and Hamming distortion measure this function is derived and analyzed. Even that elementary case suffices to show the nonconvexity of the rate-reliability-distortion function in the reliability (error exponent) argument.
Keywords :
Hamming codes; binary codes; memoryless systems; rate distortion theory; reliability; source coding; Hamming distortion measure; binary source; discrete memoryless source; error exponent; nonconvexity; rate-reliability-distortion functions; reliability argument; Codes; Data compression; Decoding; Distortion measurement; Information theory; Notice of Violation; Random variables; Rate distortion theory; Rate-distortion; Source coding; Convexity; Hamming distance; error exponent; rate- distortion function; rate-reliability-distortion function; reliability; time- sharing argument;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2004.836706
