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On the Computation of the Joint SourceChannel Error Exponent for Memoryless Systems 1
 

Summary: On the Computation of the Joint Source­Channel
Error Exponent for Memoryless Systems 1
Yangfan Zhong, Fady Alajaji, and L. Lorne Campbell
Dept. of Mathematics and Statistics
Queen's University, Kingston, Ontario, K7L 3N6, Canada
{yangfan, fady, campblll}@mast.queensu.ca
Abstract --- We study the analytical computation of
Csisz’ar's [2] random­coding lower bound and sphere­
packing upper bound for the lossless joint source­
channel (JSC) error exponent, EJ (Q, W ), for a dis­
crete memoryless source (DMS) Q and a discrete
memoryless channel (DMC) W . We provide equiva­
lent expressions for these bounds, which can be read­
ily calculated for arbitrary (Q, W ) pairs. We also es­
tablish explicit conditions under which the bounds co­
incide, thereby exactly determining EJ (Q, W ).
I. Csisz’ ar's Upper and Lower Bounds
Definition 1 A JSC code with blocklength n for a DMS with
finite alphabet S and distribution Q, and a DMC with finite
input alphabet X , finite output alphabet Y and transition

  

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