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Comparison of efficient algorithms for acoustic image estimation

Grant number: 17/22226-1
Support type:Scholarships in Brazil - Master
Effective date (Start): June 01, 2018
Effective date (End): July 31, 2020
Field of knowledge:Engineering - Electrical Engineering - Telecommunications
Cooperation agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
Principal Investigator:Vitor Heloiz Nascimento
Grantee:Paulo Otávio Moreira dos Santos
Home Institution: Escola Politécnica (EP). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

The acoustic imaging problem consists of mapping the directions and intensities of sound sources using a microphone array.These maps are used, e.g., to design airplanes, cars, and trains that are quieter and more aerodynamically efficient, and also to analyze structures such as concert halls and turbines. For arrays with a large number of microphones and images with high resolution, the number of computations needed for the estimation of an acoustic image is high. Recently, this research group developed several methods for reducing this computational cost, in particular the Kronecker array transform (KAT), which in certain conditions allows a reduction of one order of magnitude in the number of computations, and methods based on the non-equispaced fast Fourier transform (NFFT).In this work we intend to compare the algorithms based on the KAT and NFFT with other methods available in the literature, developed for beamforming. We also intend to extend these other methods to use in the estimation of acoustic images.A further goal of this work is related to the most advanced methods currently available for acoustic image estimation, which are based on the solution of certain regularized optimization problems. We intend to apply new low-cost options for sparse optimization to the acoustic estimation problem, and to analyze their performance in terms of computational cost and resolution. (AU)