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Colored Gaussian Source–Channel Broadcast for Heterogeneous (Analog/Digital) Receivers

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3 Author(s)
Prabhakaran, V.M. ; Univ. of Illinois at Urbana-Champaign, Urbana ; Rohit Puri ; Ramchandran, K.

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.

Published in:

Information Theory, IEEE Transactions on  (Volume:54 ,  Issue: 4 )

Date of Publication:

April 2008

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