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Acoustic pressure and particle motion power spectrum estimation with Matlab

S.M. Jesus, sjesus(at)
SiPLAB, University of Algarve, Campus de Gambelas,
PT-8005-139 Faro, Portugal

Comments: download file (cintal_rep).
Ref.: SiPLAB Report 03/19, SiPLAB, University of Algarve, October 2019. (revised December 28, 2020).

This document briefly describes the background on power spectrum estimation using well known reference books and texts. Reference definitions are then implemented into Matlab using discrete functions and matched to widely used Matlab routines and other reference texts. Basic simulations and respective codes are given to illustrate the various cases.
In a second chapter this experience is applied in the underwater acoustics case for producing received level estimates at discrete frequencies from measured and modeled data both for acoustic pressure and for particle motion, the latter being in most case not referred to in current standards. This report will be useful for those scientists involved in comparing measured noise fields from place to place or over time and in integrating that knowledge on modeled sound maps, or in whichever task spectral power amplitude is most important.

Revision: this report was revised twice: one in February 2020, where explanations regarding DFT usage and an example were added, and another in December 2020 where equations (2.7)-(2.9) were made.