Wavelets and Applications: A Multi-Disciplinary Undergraduate Course With an Emphasis on Scientific Computing

小波及其应用：以科学计算为重点的多学科本科课程

• 批准号: 0442684
• 负责人: Patrick Van Fleet
• 金额: --
• 依托单位: University of St. Thomas
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-06-01 至 2008-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0442684&HistoricalAwards=false
• 关键词: Wavelets; Applications; Multi; Disciplinary; Undergraduate

Mathematical Sciences (21). This project is developing a multidisciplinary undergraduate course, "Wavelets and Applications," accessible to students who have completed Calculus I, II and linear algebra. Supporting materials in the form of a text, computer labs, and final projects are being created. The course is designed to use the many applications of wavelets to data and signal compression as motivational examples. Thus it begins with an introduction to discrete wavelet transforms using a filter design approach that builds on knowledge of linear algebra. Implementations of different discrete wavelet transforms permit the use of basic scientific computing methodology. This helps lay the groundwork for the study of elements of classical theory and construction of more general wavelet transformations in the latter part of the course.

数学科学（21）。该项目正在开发一门多学科本科课程“小波及其应用”，供已完成微积分 I、II 和线性代数的学生使用。正在创建文本、计算机实验室和最终项目形式的支持材料。本课程旨在使用小波在数据和信号压缩中的许多应用作为激励示例。因此，它首先介绍使用基于线性代数知识的滤波器设计方法进行离散小波变换。不同离散小波变换的实现允许使用基本的科学计算方法。这有助于为课程后半部分的经典理论要素的研究和更一般的小波变换的构建奠定基础。