Title :
On weak convergence of probability measures, channel capacity and code error probabilities
Author :
Schwarte, Heinrich
Author_Institution :
Inst. for Exp. Math., Essen Univ., Germany
fDate :
9/1/1996 12:00:00 AM
Abstract :
The relationship between weak convergence of channel probability measures, channel capacity, and error probability of block codes is examined for memoryless channels with general input and output alphabets. It is shown that channel capacity is a lower semi-continuous function and that every block code with maximal probability of error δ for a nominal channel for any ε>0 can be modified such that the modification has a probability of error less than δ+ε for all channels in a sufficiently small neighborhood of the nominal channel
Keywords :
block codes; channel capacity; coding errors; convergence of numerical methods; error statistics; memoryless systems; probability; block codes; channel capacity; channel probability measures; code error probabilities; general input alphabet; general output alphabet; lower semicontinuous function; maximal error probability; memoryless channels; nominal channel; probability measures; weak convergence; Block codes; Capacity planning; Channel capacity; Convergence; Error probability; Gaussian channels; Information theory; Mathematics; Memoryless systems; Random variables;
Journal_Title :
Information Theory, IEEE Transactions on
