Fourier Methods Across the Curriculum

跨课程的傅立叶方法

• 批准号: 9151944
• 负责人: David Van Baak
• 金额: $ 0.58万
• 依托单位: Calvin University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-04-01 至 1993-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9151944&HistoricalAwards=false
• 关键词: Fourier; Methods; Across; Curriculum

Calvin College's Physics Department is utilizing two instruments to add modern Fourier-analysis capability to the Fourier-synthesis methods already used in a variety of courses. The equipment corrects a curricular deficiency identified in the treatment of waves in general physics, health physics, mechanics, electronics, and laboratory courses. The Fourier analyzers enable students to see how audio, or general electronic, signals can be decomposed into a sum of sinusoidal waves, and how this "frequency domain" viewpoint allows various physical phenomena to be understood. A computer-resident fast- Fourier-transform instrument added to a laboratory microcomputer serves to capture and Fourier-transform signals in the 0 - 500 kHz range. This instrument is particularly useful in acoustics demonstrations and electronic measurement. A stand-alone radio-frequency spectrum analyzer extends Fourier-analysis capability to 2000 Mhz, and makes possible a variety of measurements, experiments, and research directions in electronics and modern optics.NSF grant funds are being matched with funds from non-federal sources.

卡尔文学院物理系正在利用两种仪器，将现代傅里叶分析能力添加到已经在各种课程中使用的傅里叶合成方法中。该设备纠正了普通物理、健康物理、力学、电子学和实验课程中波浪处理的课程缺陷。傅里叶分析仪使学生能够看到音频或一般电子信号如何被分解成正弦波的总和，以及这种“频域”观点如何允许理解各种物理现象。在实验室微型计算机上安装了一台驻留计算机的快速傅里叶变换仪器，用于捕获0 - 500khz范围内的傅里叶变换信号。该仪器在声学演示和电子测量中特别有用。一台独立的射频频谱分析仪将傅里叶分析能力扩展到2000mhz，并使电子和现代光学中的各种测量，实验和研究方向成为可能。美国国家科学基金会的拨款正与来自非联邦来源的资金相匹配。