aNewArraySynthesizerBasedOnSlepianFunctions_v01.pdf (734.78 kB)
Download file

A New Array Synthesizer Based on Slepian Functions

Download (734.78 kB)
posted on 2022-05-12, 16:15 authored by Hesham SharkasHesham Sharkas

This study introduces a new multi-antenna array synthesizer based on Slepian functions. The synthesizer concentrates beamforming (BF) gain within a spatial region (i.e., an angular sector), optimizing the spectral efficiency of the given region, which is suitable for codebook-based analog BF. Starting with the spectral efficiency formula incorporating the effect of BF, Jensen’s inequality was used to set upper and lower bounds of the spectral efficiency. Then, a novel method was introduced to combine the bounds into an approximation called Hesham’s approximation. Finally, Hesham’s approximation was formulated into a solvable Slepian optimization problem that yielded the weights of the synthesizer. The properties of the synthesizer were listed, including a discussion of how it behaves by changing the width of the targeted region. The steering method was derived, and simulation results were presented.




Email Address of Submitting Author

ORCID of Submitting Author


Submitting Author's Institution

Independent researcher

Submitting Author's Country

  • Egypt