Optimum power control over fading channels

1999/07/01 by Giuseppe Caire, G. Caire, G. Taricco +2 · 777 citations
Computer Science · Engineering · Mathematics · #Advanced Wireless Communication Techniques #Advanced Wireless Network Optimization #Algorithm #Channel (broadcasting) #Channel state information #Code rate #Computer science #Cooperative Communication and Network Coding #Decoding methods #Fading #Fading distribution #Mathematical optimization #Mathematics #Mutual information #Power (physics) #Power control #Rayleigh fading #Statistics #Telecommunications #Transmission (telecommunications) #Transmitter #Wireless

paper · doi:10.1109/18.771147

published in IEEE Transactions on Information Theory 45(5), 1468-1489 (Institute of Electrical and Electronics Engineers)

openalex publication_date 1999/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/26

Abstract

We study optimal constant-rate coding schemes for a block-fading channel with strict transmission delay constraint, under the assumption that both the transmitter and the receiver have perfect channel-state information. We show that the information outage probability is minimized by concatenating a standard "Gaussian" code with an optimal power controller, which allocates the transmitted power dynamically to the transmitted symbols. We solve the minimum outage probability problem under different constraints on the transmitted power and we derive the corresponding power-allocation strategies. In addition, we propose an algorithm that approaches the optimal power allocation when the fading statistics are not known. Numerical examples for different fading channels are provided, and some applications discussed. In particular, we show that minimum outage probability and delay-limited capacity are closely related quantities, and we find a closed-form expression for the delay-limited capacity of the Rayleigh block-fading channel with transmission over two independent blocks. We also discuss repetition diversity and its relation with direct-sequence or multicarrier spread-spectrum transmission. The optimal power-allocation strategy in this case corresponds to selection diversity at the transmitter. From the single-user point of view considered in this paper, there exists an optimal repetition diversity order (or spreading factor) that minimizes the information outage probability for given rate, power, and fading statistics.

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