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The Reliability Function of Arbitrary Channels With and Without Feedback y
 

Summary: The Reliability Function of Arbitrary Channels
With and Without Feedback y
Po­Ning Chen ? and Fady Alajaji z
? Industrial Technology Research Institute
Hsinchu, Taiwan 310, R.O.C
z Department of Mathematics and Statistics
Queen's University, Kingston, Ontario K7L 3N6, Canada
ABSTRACT
The reliability function of arbitrary single­user communi­
cation channels is analyzed. A general formula for the par­
titioning upper bound to the reliability function of chan­
nels without feedback is first established. This bound is
indeed a consequence of the recently derived general ex­
pression for the Neyman­Pearson type­II error exponent
subject to an exponential bound on the type­I error prob­
ability. A general lower bound to the non­feedback chan­
nel reliability function is also obtained using Feinstein's
Lemma. Finally, the above bounds are extended to arbi­
trary channels with feedback.
1. INTRODUCTION

  

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

 

Collections: Engineering