Jointly Optimal Channel Pairing and Power Allocation for Multichannel Multihop Relaying

We study the problem of channel pairing and power allocation in a multichannel multihop relay network to enhance the end-to-end data rate. Both amplify-and-forward (AF) and decode-and-forward (DF) relaying strategies are considered. Given fixed power allocation to the channels, we show that channel pairing over multiple hops can be decomposed into independent pairing problems at each relay, and a sorted-SNR channel pairing strategy is sum-rate optimal, where each relay pairs its incoming and outgoing channels by their SNR order. For the joint optimization of channel pairing and power allocation under both total and individual power constraints, we show that the problem can be decoupled into two subproblems solved separately. This separation principle is established by observing the equivalence between sorting SNRs and sorting channel gains in the jointly optimal solution. It significantly reduces the computational complexity in finding the jointly optimal solution. It follows that the channel pairing problem in joint optimization can be again decomposed into independent pairing problems at each relay based on sorted channel gains. The solution for optimizing power allocation for DF relaying is also provided, as well as an asymptotically optimal solution for AF relaying. Numerical results are provided to demonstrate substantial performance gain of the jointly optimal solution over some suboptimal alternatives. It is also observed that more gain is obtained from optimal channel pairing than optimal power allocation through judiciously exploiting the variation among multiple channels. Impact of the variation of channel gain, the number of channels, and the number of hops on the performance gain is also studied through numerical examples.Comment: 15 pages. IEEE Transactions on Signal Processin

The Health System and the Russian Orthodox Church: Prospects for Development

The article examines the participation and assistance of the Orthodox Church in solving problems that allowed to give a scientific justification for the cooperation of health care and Orthodox religious institutions, to determine their role in the historical context and structure of modern healthcare in Russia. The article presents an algorithm for organizing sisters of mercy, their system of upbringing. Particular attention is given to the possibility of teaching the course "Foundations of Orthodox Culture" in secular educational institutions. Research materials can serve as a basis for the formation of morally sound positions of medical workers and the population on the main problems of medical activity. Based on the study, the authors published a series of articles in which the experience of the work of the Orthodox Church in the charitable sphere has been summarized. This experience can be used to create new charitable institutions, including those who provided medical assistance. In preparing the article, the authors used concrete historical, civilizational, formational and social methods of research that allowed us to uncover facts, phenomena and processes in the interconnection and unity of the past, present and future

A Model of Interindustry Interaction in the USSR

A quantitative analysis of the development of interindustry flows in the Soviet economy showed that traditional input-output methods needed to be expanded and generalized for use in Soviet medium-term (5-7 year) planning. In particular, it is necessary to account for supply constraints on some products and relative surpluses of others. This paper describes a model which accounts for these influences, fits closely the development of the Soviet economy from 1950 to 1975, and can be and has been used in the exploratory stages of Soviet planning

Color Cerberus

Simple convolutional neural network was able to win ISISPA color constancy competition. Partial reimplementation of (Bianco, 2017) neural architecture would have shown even better results in this setup

Stable monopole and dyon solutions in the Einstein-Yang-Mills theory in asymptotically anti-de Sitter Space

A continuum of new monopole and dyon solutions in the Einstein-Yang-Mills theory in asymptotically anti-de Sitter space are found. They are regular everywhere and specified with their mass, and non-Abelian electric and magnetic charges. A class of monopole solutions which have no node in non-Abelian magnetic fields are shown to be stable against spherically symmetric linear perturbations.Comment: 9 pages with 5 figures. Revised version. To appear in Phys Rev Let