[IEEE Trans. on Information Theory, November 2000, pp. 2468-2476]
Performance of Quantizers on Noisy Channels
using Structured Families of Codes
András Méhes and Kenneth Zeger
Abstract
Achievable distortion bounds are derived for the cascade of structured
families of binary linear channel codes and binary lattice vector quantizers.
It is known that for the cascade of asymptotically good channel codes and
asymptotically good vector quantizers the end-to-end distortion decays to
zero exponentially fast as a function of the overall transmission rate,
and is achieved by choosing a channel code rate that is
independent of the overall transmission rate.
We show that for certain families of practical channel codes and binary
lattice vector quantizers, the overall distortion can still be made to decay
to zero exponentially fast as the transmission rate grows, although the
exponent is a sub-linear function of the transmission rate.
This is achieved by carefully choosing a channel code rate that
decays to zero as the transmission rate grows.
Explicit channel code rate schedules are obtained for several
well-known families of channel codes.