| Author: | Muaz, Muhammad |
| Title: | Statistical signal processing for acoustic direction finding and for roadway sound-level distribution modeling |
| Advisors: | Wong, Kainam Thomas (EIE) |
| Degree: | Ph.D. |
| Year: | 2018 |
| Subject: | Hong Kong Polytechnic University -- Dissertations Signal processing -- Statistical methods Array processors |
| Department: | Department of Electronic and Information Engineering |
| Pages: | xii, 201 pages : color illustrations |
| Language: | English |
| Abstract: | This thesis presents two investigations in two parts: I. Azimuth-elevation bivariate direction finding using a higher-order "figure-8" sensor and an isotropic sensor. A "p-u probe" (a.k.a. a "p-v probe") comprises one pressure-sensor (which is isotropic) and one uni-axial particle-velocity sensor (which has a "figure-8" bi-directional spatial directivity). This p-u probe may be generalized, by allowing the figure-8 bi-directional sensor to have a higher order of directivity. This "higher-order p-v probe" has not previously been investigated anywhere in the open literature (to the best knowledge of the present authors). For such a sensing system, this work is first (1) to develop closed-form eigen-based signal-processing algorithms for azimuth-elevation direction finding; (2) to analytically derive the associated Cramer-Rao lower bounds (CRB), which is expressed explicitly in terms of the two constituent sensors' spatial geometry and in terms of the figure-8 sensor's directivity order; (3) to verify (via Monte Carlo simulations) the proposed direction-of-arrival estimators' efficacy and closeness to the Cramer-Rao lower bounds. Here, the two constituent sensors of higher-order p-v probe may be spatially displaced. II. Leptokurtic probability density modeling of roadway sound-levels measured at different floors of a high-rise building. The tails of roadway sound-level distributions decay slower than the tails of the Gaussian distribution. This highlights the need to instead use leptokurtic distributions in modeling. To gain new insights into the roadway sound-level distribution, this work is first in the open literature (1) to try out a wide range of well-known leptokurtic probability-density functions of two, three and four parameters, and ranks their goodness-of-fit to sound-pressure-level data measured at a high-rise building in Hong Kong, overlooking the roadway vehicular traffic; (2) to check if a probability density (scalar) metric (i.e. variance, skewness, excess-kurtosis, third central-moment, fourth central moment, fourth cumulant, and peakedness) is a "sufficient statistic" to explain the goodness-of-fit ranks of a candidate probability density function; (3) to analyze the statistical distributions of roadway sound-level data empirically-measured at different days and different vertical locations of a high-rise building. |
| Rights: | All rights reserved |
| Access: | open access |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 991022289504303411.pdf | For All Users | 2.87 MB | Adobe PDF | View/Open |
Copyright Undertaking
As a bona fide Library user, I declare that:
- I will abide by the rules and legal ordinances governing copyright regarding the use of the Database.
- I will use the Database for the purpose of my research or private study only and not for circulation or further reproduction or any other purpose.
- I agree to indemnify and hold the University harmless from and against any loss, damage, cost, liability or expenses arising from copyright infringement or unauthorized usage.
By downloading any item(s) listed above, you acknowledge that you have read and understood the copyright undertaking as stated above, and agree to be bound by all of its terms.
Please use this identifier to cite or link to this item:
https://theses.lib.polyu.edu.hk/handle/200/10304