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Jointly Optimal Source Power Control and Relay Matrix Design in Multipoint-to-Multipoint Cooperative Communication Networks

Jointly Optimal Source Power Control and Relay Matrix Design in Multipoint-to-Multipoint Cooperative Communication Networks,10.1109/TSP.2011.2158426,I

Jointly Optimal Source Power Control and Relay Matrix Design in Multipoint-to-Multipoint Cooperative Communication Networks   (Citations: 2)
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A cooperative communication network is considered wherein sources aim to transmit to their designated destina- tions through the use of a multiple-antenna relay. All sources transmit to the relay in a shared channel in the first transmission phase. Then, the relay linearly processes its received signal vector using relaying matrices and retransmits the resultant signals towards the destinations in dedicated channels in the second transmission phase. The goal is to jointly optimize the sources' transmit powers and the relaying matrices such that the worst normalized signal-to-interference-plus-noise ratio (SINR) among all destinations is maximized while the relays' transmit powers in the dedicated channels as well as the sources' individual and total transmit powers do not exceed predetermined thresholds. It is shown that the jointly optimal sources' transmit powers and the relaying matrices are the solutions to an optimization problem with a nonconvex objective function and multiple non- convex constraints. To solve this problem, it is first proved that all normalized SINRs are equal at the optimal point of the objective function. Then, the optimization problem is transformed through multiple stages into an equivalent problem that is amenable to an iterative solution. Finally, an efficient iterative algorithm is developed that offers the jointly optimal sources' transmit powers and the relaying matrices. An extension to the above problem is then studied in the case when the cooperative communication network acts as a cognitive system that is expected to operate such that its interfering effect on the primary users is below some admissibility thresholds. In such a case, the sources' and relay's transmit powers should further satisfy some additional constraints that compel a new technique to tackle the problem of the joint optimization of the sources' transmit powers and the relaying matrices. An iterative solution to the latter problem is also proposed and the efficiency and the high rate of convergence of the proposed iterative algorithms in both the original and the cognitive cases are verified by simulation examples.
Journal: IEEE Transactions on Signal Processing - TSP , vol. 59, no. 9, pp. 4313-4330, 2011
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    • ...There is a growing research interest in the applications of multi-point to multi-point wireless networks wherein multiple sources communicate with their dedicated destinations [1]-[8]...
    • ...Unfortunately, the technique introduced in [14] cannot be used to solve (12) as (6) and (8) pose M +1 additional constraints that jointly depend on w and p and, further, are nonconvex with respect to the total design parameters (w, p). Assuming that the transmissions from the relays to the destinations are carried out in dedicated orthogonal channels, we have developed in [7] (also [8]) a technique that jointly optimizes the sources’ ...
    • ...It can be shown that Λl(w) are nonnegative primitive matrices for l =1 ,..., 2L +1 [8]...
    • ...This requirement is met if and only if [8], [15]...

    Keyvan Zarifiet al. Joint Source Power Control and Relay Beamforming in Amplify-and-Forwar...

    • ...G ll , (5) can be equivalently represented as [8]...
    • ...It can be proved that [8] Λl(W) is a nonnegative primitive matrix 3...
    • ...The following theorem obtains Eo(W) and proves that λmax (Λm(W)) = λmax (Λn(W)) and pm(W )= pn(W) for m, n ∈E o(W). The proof of the theorem is given in [8]...
    • ...Observation 3: Wo and po satisfy all constraints in (6) with equality [8], that is,...
    • ...Observation 4: When Wo and po are jointly used, there is a constraint in (1) that holds with equality [8], that is, u T po = Pl (25)...
    • ...The following theorem whose proof is given in [8] holds...
    • ...L . Then, Wo and po are jointly optimal if and only if [8]...
    • ...The convergence of W[n] and p[n] to Wo and po is guaranteed and is shown in [8]...

    Keyvan Zarifiet al. Joint Power Control and Relay Matrix Design for Cooperative Communicat...

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