Stanford University · EE261

The Fourier Transform and Its Applications

傅里叶变换及其应用

Fourier analysis and its applications in science and engineering.

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Lecture 1: Fourier series

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Subject：Applied Mathematics

Level：Advanced

Suggested stage：Years 3–4 (inferred)

Public-material edition：Official course page (year not stated)

Language：English

Videos：Available

Assignments / solutions：Available / Not verified

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▶Lectures, video & readingCourse content in the official sequence30

Lecture 1: Fourier series Lecture 2: Fourier series Lecture 3: Fourier series Lecture 4: Fourier series Lecture 5: Fourier series Lecture 6: Fourier transform and convolution Lecture 7: Fourier transform and convolution Lecture 8: Fourier transform and convolution Lecture 9: Fourier transform and convolution Lecture 10: Fourier transform and convolution Lecture 11: Fourier transform and convolution Lecture 12: Distributions and generalized transforms Lecture 13: Distributions and generalized transforms Lecture 14: Distributions and generalized transforms Lecture 15: Diffraction, crystallography, and sampling Lecture 16: Diffraction, crystallography, and sampling Lecture 17: Diffraction, crystallography, and sampling Lecture 18: Diffraction, crystallography, and sampling Lecture 19: DFT and FFT Lecture 20: DFT and FFT Lecture 21: DFT and FFT Lecture 22: DFT and FFT Lecture 23: Linear time-invariant systems Lecture 24: Linear time-invariant systems Lecture 25: Linear time-invariant systems Lecture 26: Multidimensional transforms and imaging Lecture 27: Multidimensional transforms and imaging Lecture 28: Multidimensional transforms and imaging Lecture 29: Multidimensional transforms and imaging Lecture 30: Multidimensional transforms and imaging

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Problem Set 1 Problem Set 2 Problem Set 3 Problem Set 4 Problem Set 5 Problem Set 6 Problem Set 7 Problem Set 8 Problem Set 9

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Practice midterm Midterm Final exam

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Stanford Engineering Everywhere · verified 2026-07-31

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