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In this program

Definition
Properties of the Fourier transform
Convolution theorem and filtering
Discrete Fourier transform (DFT) and sampling
Laplace transform review
Connection to frequency domain
Inverse transforms
Transform pairs (table methods)

Fourier and Laplace transforms

Connection to frequency domain

Fourier analysis & transforms · Standard syllabus

Topic

Connection to frequency domain

Practice by unit: Fourier and Laplace transforms

Undergraduate Fourier Analysis — scope drawn from open Fourier analysis / transforms notes and typical US applied Fourier syllabi.

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