Colored Gaussian Source–Channel Broadcast for Heterogeneous (Analog/Digital) Receivers
Prabhakaran, V.M.
Puri, R.
Ramchandran, K.
Univ. of Illinois at Urbana-Champaign, Urbana;
This paper appears in: Information Theory, IEEE Transactions on
Publication Date: April 2008
Volume: 54,
Issue: 4
On page(s): 1807-1814
ISSN: 0018-9448
INSPEC Accession Number: 9943647
Digital Object Identifier: 10.1109/TIT.2008.917679
Current Version Published: 2008-03-21
Abstract
The problem of transmitting a Gaussian source with memory to a digital and a linear-analog receiver, over an arbitrarily colored, nondegraded Gaussian broadcast channel is studied. The main result of this work is a complete characterization of the set of achievable distortion pairs at the two receivers given a power constraint at the transmitter. Further, a constructive hybrid uncoded-coded scheme consisting of the cascade of source coding with side information and channel coding with side information systems is shown to achieve the entire power-mean squared error (MSE) distortion region associated with the problem. An interesting operating point in this region is one where the digital receiver obtains the classical point-to-point optimal quality and the analog receiver attains the best possible simultaneously achievable distortion. This problem is motivated by the practical application of the seamless ldquoin-bandrdquo digital upgrade of legacy analog transmission systems.
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