Alternating Optimization Techniques for Power Allocation and Receiver Design in Multihop Wireless Sensor Networks

TL;DR

This paper introduces an alternating optimization approach for joint power allocation and receiver design in multihop wireless sensor networks employing amplify-and-forward relays, improving performance metrics like bit error rate and sum-rate.

Contribution

It develops novel algorithms for joint linear receiver and power allocation design under various power constraints using alternating optimization, with theoretical analysis and simulation validation.

Findings

Enhanced bit error rate performance

Improved sum-rate compared to equal power allocation

Algorithms converge reliably with manageable complexity

Abstract

In this paper, we consider a multihop wireless sensor network with multiple relay nodes for each hop where the amplify-and-forward scheme is employed. We present algorithmic strategies to jointly design linear receivers and the power allocation parameters via an alternating optimization approach subject to different power constraints which include global, local and individual ones. Two design criteria are considered: the first one minimizes the mean-square error and the second one maximizes the sum-rate of the wireless sensor network. We derive constrained minimum mean-square error and constrained maximum sum-rate expressions for the linear receivers and the power allocation parameters that contain the optimal complex amplification coefficients for each relay node. An analysis of the computational complexity and the convergence of the algorithms is also presented. Computer simulations show good performance of our proposed methods in terms of bit error rate and sum-rate compared to the method with equal power allocation and an existing power allocation scheme.