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Session: 2526

Matlab numerical method application in student research

Roman Stemprok and Preeti Nagarajan University of North Texas

Abstract

Matrices Laboratory is a versatile package that performs a multitude of mathematical calculations involving signal-processing systems and control systems, and it has toolboxes for image processing, neural networks and communication applications. This “hands-on” student research introduces a method of capturing the luminance of roadway scenes using a charge-coupled device (CCD) camera, and later, analyzing these images to calculate the spatial frequency content in the scene. This numerical method research was introduced in a 3-credit Special Problems course.

Introduction

This paper introduces an imaging concept of Digital Signal Processing for measuring visibility at a scene using spatial analysis. Spatial analysis describes the Frequency content at the scene of interest. The scene taken into consideration throughout this study is a road intersection. The study uses a prototype road scene to prove the principle within a laboratory. The prototype is placed in a lab setting that uses two luminaries. One luminary produces incandescent light and the second produces light of a different frequency spectrum. Light emanating from the first source is white and the second is yellow. The main reason for choosing such lighting is to study the effect of these luminaries on the scene of interest. The prototype road scene is scaled to obtain near real results. The images are processed using MATLAB and the results, along with an analysis are presented in this paper. This concept is implemented in the Design of Digital System Processing (DSP) course - introduction to digital signal processing emphasizing biomedical imaging and digital audio applications. Students learn topics such as phasors, the wave equation, sampling and quantizing, feedforward and feedback filters, periodic sound, transform methods, and filter design. This course uses intuitive and quantitative approaches to develop the mathematics critical to understanding DSP techniques.

Fourier Series

Physicist Joseph Fourier developed this analysis to study heat transfer problems where he recognized that a function, fp (x), whose graph displays a periodicity, T, could be considered to be an infinite sum of sinusoidal functions. The Fourier series may be represented as the sum of a series of sine functions, cosine functions, and complex exponential functions or any of several other sinusoidal representations (Wilson (1995), Baher (1990), and Lathi (1989)) 1-6. The fp (x) is

Proceedings of the 2003 American Society for Engineering Education Annual Conference & Exposition Copyright © 2003, American Society for Engineering Education

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Nagarajan, P., & Stemprok, R. (2003, June), Matlab Numerical Method Application In Student Research Paper presented at 2003 Annual Conference, Nashville, Tennessee. 10.18260/1-2--12514