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Decentralized Frequency Alignment for Collaborative Beamforming in\n Distributed Phased Arrays

2019/11/22 by Hassna Ouassal, Ming Yan, Ouassal, Hassna +3 · 3 citations
Computer Science · Engineering · #Advanced MIMO Systems Optimization #Antenna Design and Optimization #Cooperative Communication and Network Coding #FOS: Electrical engineering #Signal Processing (eess.SP) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1911.10076

openalex publication_date 2019/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A new approach to distributed syntonization (frequency alignment) for the\ncoordination of nodes in open loop coherent distributed antenna arrays to\nenable distributed beamforming is presented. This approach makes use of the\nconcept of consensus optimization among nodes without requiring a centralized\ncontrol. Decentralized frequency consensus can be achieved through iterative\nfrequency exchange among nodes. We derive a model of the signal received from a\ncoherent distributed array and analyze the effects on beamforming of phase\nerrors induced by oscillator frequency drift. We introduce and discuss the\naverage consensus protocol for frequency transfer in undirected networks where\neach node transmits and receives frequency information from other nodes. We\nanalyze the following cases: 1) undirected networks with a static topology; 2)\nundirected networks with dynamic topology, where connections between nodes are\nmade and lost dynamically; and 3) undirected networks with oscillator frequency\ndrift. We show that all the nodes in a given network achieve average consensus\nand the number of iterations needed to achieve consensus can be minimized for a\ngiven cluster of nodes. Numerical simulations demonstrate that the consensus\nalgorithm enables tolerable errors to obtain high coherent gain of greater that\n90 % of the ideal gain in an error-free distributed phased array.\n

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