A Joint Time-Invariant Filtering Approach to the Linear Gaussian Relay Problem

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In this paper, the linear Gaussian relay problem is considered. Under the linear time-invariant (LTI) model the rate maximization problem in the linear Gaussian relay channel is formulated in the frequency domain based on the Toeplitz distribution theorem. Under the further assumption of realizable input spectra, the rate maximization problem is converted to the problem of joint source and relay filter design with two power constraints, one at the source and the other at the relay, and a practical solution to this problem is proposed based on the (adaptive) projected (sub) gradient method. Numerical results show that the proposed method yields a considerable gain over the instantaneous amplify-and-forward (AF) scheme in inter-symbol interference (ISI) channels. Also, the optimality of the AF scheme within the class of one-tap relay filters is established in flat-fading channels.
Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Issue Date
2012-08
Language
English
Article Type
Article
Keywords

PROJECTED SUBGRADIENT METHOD; CAPACITY THEOREMS; NETWORKS; CHANNEL

Citation

IEEE TRANSACTIONS ON SIGNAL PROCESSING, v.60, no.8, pp.4360 - 4375

ISSN
1053-587X
DOI
10.1109/TSP.2012.2197750
URI
http://hdl.handle.net/10203/104269
Appears in Collection
EE-Journal Papers(저널논문)
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