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On the Excess Distortion Exponent for Memoryless Gaussian Source-Channel Pairs
 

Summary: On the Excess Distortion Exponent for Memoryless
Gaussian Source-Channel Pairs
Yangfan Zhong, Fady Alajaji and L. Lorne Campbell
Department of Mathematics and Statistics
Queen's University, Kingston, ON K7L 3N6, Canada
Email: {yangfan,fady,campblll}@mast.queensu.ca
Abstract-- For a memoryless Gaussian source under the
squared-error distortion fidelity criterion and a memoryless ad-
ditive Gaussian noise channel with a quadratic power constraint
at the channel input, upper and lower bounds for the joint
source-channel coding excess distortion exponent (which is the
exponent of the probability of excess distortion) are established.
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 source-channel
parameters.
I. INTRODUCTION
In [5], Csisz´ar studies the joint source-channel coding
(JSCC) excess distortion exponent under a fidelity criterion
for discrete memoryless systems ­ i.e., the largest rate of

  

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

 

Collections: Engineering