Anytime coding on the infinite bandwidth AWGN channel: A sequential semi-orthogonal optimal code
Abstract
Description
It is well known that orthogonal coding can be used to approach the Shannon capacity of the power-constrained AWGN channel without a bandwidth constraint. This correspondence describes a semi-orthogonal variation of pulse position modulation that is sequential in nature -- bits can be ``streamed across'' without having to buffer up blocks of bits at the transmitter. ML decoding results in an exponentially small probability of error as a function of tolerated receiver delay and thus eventually a zero probability of error on every transmitted bit. In the high-rate regime, a matching upper bound is given on the delay error exponent. We close with some comments on the case with feedback and the connections to the capacity per unit cost problem.
12 pages, 6 figures, submitted to IT Transactions
12 pages, 6 figures, submitted to IT Transactions