Successive Refinement Via Broadcast: Optimizing Expected Distortion of a Gaussian Source Over a Gaussian Fading Channel

We consider the problem of transmitting a Gaussian source on a slowly fading Gaussian channel, subject to the mean-squared error distortion measure. The channel state information is known only at the receiver but not at the transmitter. The source is assumed to be encoded in a successive refinement...

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Bibliographic Details
Published in:IEEE transactions on information theory Vol. 54; no. 7; pp. 2903 - 2918
Main Authors: Tian, C., Steiner, A., Shamai, S., Diggavi, S.N.
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.07.2008
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Algorithms
Applied sciences
Broadcast strategy
Broadcasting
Channel state information
Channels
Chaos
Communication channels
Decoding
Degradation
Detection, estimation, filtering, equalization, prediction
Distortion
Electronics
Exact sciences and technology
Fading
Gaussian
Information theory
Information, signal and communications theory
joint source-channel coding
Mathematical models
Normal distribution
Optimization
power allocation
Radiocommunications
Signal and communications theory
Signal, noise
Source coding
Strontium
successive refinement (SR)
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Transmission and modulation (techniques and equipments)
Transmitters
Transmitters. Receivers
Fading channels
Fading
joint source-channel coding
Parameter estimation
Variational methods
Refinement method
Gaussian channel
Transmitter
Algorithm
Power allocation
Joint source channel coding
Optimization
Mean square error
Broadcast strategy
successive refinement (SR)
Algorithm performance
Optimal allocation
Channel estimation
Optimal solution
Broadcast channels
ISSN:0018-9448, 1557-9654
Online Access:Get full text
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Summary:We consider the problem of transmitting a Gaussian source on a slowly fading Gaussian channel, subject to the mean-squared error distortion measure. The channel state information is known only at the receiver but not at the transmitter. The source is assumed to be encoded in a successive refinement (SR) manner, and then transmitted over the channel using the broadcast strategy. In order to minimize the expected distortion at the receiver, optimal power allocation is essential. We propose an efficient algorithm to compute the optimal solution in linear time , when the total number of possible discrete fading states. Moreover, we provide a derivation of the optimal power allocation when the fading state is a continuum, using the classical variational method. The proposed algorithm as well as the continuous solution is based on an alternative representation of the capacity region of the Gaussian broadcast channel.
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ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2008.924696