Frequency Increment PDF for a Random Frequency Diverse Array with a Desired Range Coverage Employing a Dot-Shaped Directive Beam

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Document Type : Original Article

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Department of Electronics and Communication Engineering, Faculty of Engineering, University of Kurdistan, Sanandaj, Iran

Abstract

Employing convex and quadratic optimization problems, the optimal probability density function (PDF) for the frequency increment of a random frequency diverse array (RFDA) is extracted. Using a far-field approximation, the fundament harmonic of the radiation pattern is derived, and its power is equated to the peak sideband ratio (PSBR) for a pre-determined beamlength. That means that the power of undesired harmonics would be negligible within the main beam coverage range. Starting from the convex programming and utilizing a suitable variable transformation, an iterative quadratic programming is developed as an alternative technique. The objective is to make sure that the main beam would cover a specific range by a dot-shaped beam which should be as directive as possible. To perform this task, a PDF is generated as similar as possible to the uniform distribution. The radiation pattern for the generated optimal PDF is compared with those of the uniform, normal, and binomial PDFs. Subsequently, using a weighted random number generator, the radiation pattern of the RFDA is plotted. Furthermore, the generated discrete PDF, being in vector form, is modeled by a continuous PDF using the Kernel distribution function. To verify the proposed method, several simulations are performed which denote the accuracy of the proposed theory.

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Tabriz Journal of Electrical Engineering

Articles in Press, Corrected Proof
Available Online from 30 June 2025

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