DocumentCode :
659222
Title :
Distortion minimization in layered broadcast transmission of a Gaussian source over Rayleigh channels
Author :
Mesbah, Wessam ; Shaqfeh, M. ; Alnuweiri, Hussein
Author_Institution :
Electr. Eng. Dept., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia
fYear :
2013
fDate :
9-13 Sept. 2013
Firstpage :
1
Lastpage :
5
Abstract :
We consider the problem of minimizing the expected distortion in the multilayer transmission of a Gaussian source using the broadcast approach with successive information enhancement. This minimization is contingent on the jointly optimal choice of the rates and power ratios of the different layers. This problem was tackled in the literature with the assumption that the fading channel has a finite number of states and the number of source layers matches the number of channel states. In this paper, we provide a more generic solution for a continuous Rayleigh fading channel, and for any predetermined number of layers. We prove that the primal optimization problem has a strong duality with the Lagrangian dual problem. Consequently, we propose a two-dimensional bisection search algorithm that can, for any number of layers, find the optimal solution of the dual problem which will be the same as the optimal solution of the primal problem. The complexity of the search algorithm has linear order with respect to the number of layers. We provide numerical results for the optimal rate and power allocation. Moreover, we show that with a small number of layers, we can approach the distortion lower bound that is achieved by transmitting an infinite number of layers.
Keywords :
Gaussian processes; Rayleigh channels; broadcasting; optimisation; search problems; Gaussian source; Lagrangian dual problem; continuous Rayleigh fading channel; distortion minimization; layered broadcast transmission; linear order; multilayer transmission; optimal rate; power allocation; power ratios; primal optimization problem; successive information enhancement; two-dimensional bisection search algorithm; Decoding; Equations; Fading; Mathematical model; Optimization; Resource management; Signal to noise ratio; Broadcast approach; distortion minimization; joint power and rate optimization; multilayer transmission; strong duality;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Theory Workshop (ITW), 2013 IEEE
Conference_Location :
Sevilla
Print_ISBN :
978-1-4799-1321-3
Type :
conf
DOI :
10.1109/ITW.2013.6691345
Filename :
6691345
Link To Document :
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