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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Veröffentlicht in:	IEEE transactions on information theory Jg. 54; H. 7; S. 2903 - 2918
Hauptverfasser:	Tian, C., Steiner, A., Shamai, S., Diggavi, S.N.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	New York, NY IEEE 01.07.2008 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:	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
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Zusammenfassung:	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.
Bibliographie:	SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-2 content type line 23
ISSN:	0018-9448 1557-9654
DOI:	10.1109/TIT.2008.924696