{"title":"Acoustic Positioning Using Multielement Array","authors":"A. Zielinski, Lixue Wu","doi":"10.1109/OCEANS.1989.587489","DOIUrl":null,"url":null,"abstract":"With these assumptions, problem of estimating the arrival angle of a plane wave at linear array is analogous to that encountered in spectral analysis. The well known applicable methods are maximum likelihood estimation [l], adaptive arrays [ 2 ] , maximum entropy estimation [3], and wavenumber spectral estimation [4]. This paper aims to give a straightforward real-time treatment of this estimation problem. A discrete Fourier transform (DFT) algorithm is employed. A chirp z-transform (CZT) algorithm and employment of two frequencies are suggested to improve the system resolution. The incident signals arriving from direction 0 are received by N (even) nondirectional, point sensors arranged along a straight line. If the acoustic pressure received by each sensor is simultaneously sampled at time t = t o and the samples are subjected to the discrete Fourier transform (DFT), we obtain the power-normalized beam pattern given by [5]","PeriodicalId":331017,"journal":{"name":"Proceedings OCEANS","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1989-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings OCEANS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/OCEANS.1989.587489","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
With these assumptions, problem of estimating the arrival angle of a plane wave at linear array is analogous to that encountered in spectral analysis. The well known applicable methods are maximum likelihood estimation [l], adaptive arrays [ 2 ] , maximum entropy estimation [3], and wavenumber spectral estimation [4]. This paper aims to give a straightforward real-time treatment of this estimation problem. A discrete Fourier transform (DFT) algorithm is employed. A chirp z-transform (CZT) algorithm and employment of two frequencies are suggested to improve the system resolution. The incident signals arriving from direction 0 are received by N (even) nondirectional, point sensors arranged along a straight line. If the acoustic pressure received by each sensor is simultaneously sampled at time t = t o and the samples are subjected to the discrete Fourier transform (DFT), we obtain the power-normalized beam pattern given by [5]
在这些假设下,估计平面波到达线阵的角度的问题与谱分析中遇到的问题类似。已知的适用方法有极大似然估计[1]、自适应阵列[2]、最大熵估计[3]和波数谱估计[4]。本文的目的是给出一个直接的实时处理这个估计问题。采用离散傅立叶变换(DFT)算法。提出了一种啁啾z变换(CZT)算法和采用两种频率来提高系统分辨率。从0方向到达的入射信号由沿直线排列的N个(偶数)非定向点传感器接收。如果在t = t 0时刻同时对每个传感器接收到的声压进行采样,并对采样进行离散傅里叶变换(DFT),我们得到功率归一化的波束图,如[5]