資料介紹

• 數學物理化學/理論科學
• 理學資料
• 大學開放視頻課程

資源簡介:

Stanford大學開放課程: The Fourier Transform and Its Applications
課程代號: EE261
主講: Brad Osgood
官網鏈接: https://ccnet.stanford.edu/ee261/
斯坦福大學開放課程: 傅立葉變換及應用

該資源包括1-30課全部課程錄像,並有428頁Lecture Notes for EE 261The Fourier Transform and its Applications, formula sheet的pdf文檔

課程簡介:

Course Coordinator: Brad Osgood

Course Description: The Fourier transform is ubiquitous in engineering and science and this course is appropriate for students from across the engineering and science disciplines.

The course emphasizes both mathematical know-how and applications.

The goals for the course are to gain a facility with using the Fourier transform, both specific techniques and general principles, and learning to recognize when, why, and how it is used. Together with a great variety, the subject also has a great coherence, and the hope is students come to appreciate both. Topics include: The Fourier transform as a tool for solving physical problems. Fourier series, the Fourier transform of continuous and discrete signals and its properties. The Dirac delta, distributions, and generalized transforms. Convolutions and correlations and applications; probability distributions, sampling theory, filters, and analysis of linear systems. The discrete Fourier transform and the FFT algorithm. Multidimensional Fourier transform and use in imaging. Further applications to optics, crystallography. Emphasis is on relating the theoretical principles to solving practical engineering and science problems.