A duality theorem for joint source-channel coding
DOI: 10.1109/ISIT.1998.708588 Conference: Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on
Source: IEEE Xplore
We consider joint source-channel coding for a memoryless Gaussian source and an additive white Gaussian noise (AWGN) channel. For a given code defined by an encoder-decoder pair (α,β), its dual code is obtained by interchanging the encoder and decoder: (β,α). It is shown that if a code (α,β) is optimal at rate ρ channel uses per source sample and if it satisfies a certain uniform continuity condition, then its dual code (β,α) is optimal for rate 1/ρ channel uses per source sample. It is demonstrated that there is a code which is optimal but its dual code is not optimal. Finally, using random coding, we show that there is an optimal code which has an optimal dual
Data provided are for informational purposes only. Although carefully collected, accuracy cannot be guaranteed. The impact factor represents a rough estimation of the journal's impact factor and does not reflect the actual current impact factor. Publisher conditions are provided by RoMEO. Differing provisions from the publisher's actual policy or licence agreement may be applicable.