Duality between broadcasting with bandwidth expansion and bandwidth compression
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abstract
We consider the problem of broadcasting samples of an independent identically distributed (i.i.d) Gaussian source to two users in n - uses of an AWGN channel. We develop a framework which shows a duality between a source-channel coding scheme for the case of > 1 and that for > 1. Using this duality, we derive a scheme for the case of < 1, which is the dual of a scheme recently proposed by Reznic, Zamir and Feder in [3]. This scheme, which provides the largest known achievable distortion region currently known, is also the same as that proposed by Prabhakaran et al in [4] specialized to the case of an i.i.d source with < 1. We also provide an explanation for why this scheme performs well by first analyzing the performance of source-channel coding schemes in the presence of a signal-to-noise ratio mismatch. 2007 IEEE.
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2007 IEEE International Symposium on Information Theory