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On Optimal Power Allocation for Gaussian Broadcast Channel

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TLDR
The optimal power allocation for Gaussian two users broadcast channel is derived from two optimization schemes that maximizes the sum rate capacity and the optimality of the derived schemes is verified.
Abstract
We derive the optimal power allocation for Gaussian two users broadcast channel. To find the optimal power allocation between the two users, two optimization schemes are considered. In each optimization scheme, an analytical expression for the optimal power allocation between the two users is derived. The first optimization criterion finds the optimal power allocation between the two users such that they have equal rates. Then, the optimal power allocation that maximizes the sum rate capacity is studied. In addition, numerical examples are provided to verify the optimality of the derived schemes. Keywords: Gaussian Broadcast Channel, Capacity Region, Optimization.

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References
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Journal ArticleDOI

A case where interference does not reduce capacity (Corresp.)

TL;DR: In this paper, it was shown that under certain conditions, two strongly interfering communication links with additive white Gaussian noise can achieve rates as high as would be achievable without this interference.
Proceedings ArticleDOI

Optimal power allocation over parallel Gaussian broadcast channels

TL;DR: It is shown that capacity can be achieved by optimal power allocation over the channels, and an explicit characterization of the optimal power allocations and the resulting capacity region is obtained.
Proceedings ArticleDOI

Capacity and optimal power allocation for fading broadcast channels with minimum rates

TL;DR: It is shown that superposition coding can achieve the capacity of such channels and explicitly characterize the boundary of the capacity region, and the optimal power allocation scheme for a multiuser fading broadcast channel is derived.
Proceedings ArticleDOI

Optimal relay location and power allocation for low SNR broadcast relay channels

TL;DR: This work considers the broadcast relay channel (BRC), where a single source transmits to multiple destinations with the help of a relay, in the limit of a large bandwidth, and proposes an easy and efficient algorithm to compute all hyperarc sets, and proves they are polynomially bounded.
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Optimal relay location and power allocation for low SNR broadcast relay channels

TL;DR: In this article, the problem of optimal relay positioning and power allocation at source and relay, to maximize the multicast rate from source to all destinations, is considered in the broadcast relay channel (BRC).
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