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1296 IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 55, NO. 3, MARCH 2009 Joint SourceChannel Coding Excess Distortion
 

Summary: 1296 IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 55, NO. 3, MARCH 2009
Joint Source­Channel Coding Excess Distortion
Exponent for Some Memoryless Continuous-Alphabet
Systems
Yangfan Zhong, Student Member, IEEE, Fady Alajaji, Senior Member, IEEE, and L. Lorne Campbell, Fellow, IEEE
Abstract--We investigate the joint source­channel coding
(JSCC) excess distortion exponent EJ (the exponent of the prob-
ability of exceeding a prescribed distortion level) for some memo-
ryless communication systems with continuous alphabets. We first
establish upper and lower bounds for EJ for systems consisting
of a memoryless Gaussian source under the squared-error distor-
tion fidelity criterion and a memoryless additive Gaussian noise
channel with a quadratic power constraint at the channel input.
A necessary and sufficient condition for which the two bounds
coincide is provided, thus exactly determining the exponent. This
condition is observed to hold for a wide range of source­channel
parameters. As an application, we study the advantage in terms
of the excess distortion exponent of JSCC over traditional tandem
(separate) coding for Gaussian systems. A formula for the tandem
exponent is derived in terms of the Gaussian source and Gaussian

  

Source: Alajaji, Fady - Department of Mathematics and Statistics, Queen's University (Kingston)

 

Collections: Engineering