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

Provided by: Institute of Electrical & Electronic Engineers
Topic: Mobility
Format: PDF
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.

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