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Lecture
Discrete Fourier Transform: Lecture 12
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The DTFT as a change of basis
Explores the DTFT as a change of basis, localizing functions, and the Dirac delta functional.
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Explores the properties of Fourier transformations, including continuity, linearity, and derivatives.
Fourier Series: Understanding Coefficients and Periodicity
Explores Fourier series coefficients, periodicity, and series relations.
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Explores Fourier series, Discrete Fourier Transform, FFTW library, and solving differential equations using FFT algorithms.
Unbounded and Bounded Systems: Fourier Methods
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Covers the representation of signals using Fourier transforms and the properties of signal vectors.
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Discusses complex integration techniques for calculating Fourier transforms and introduces the Laplace transform's applications.
The fast Fourier transform
Explores the history and efficiency of the fast Fourier transform algorithm, demonstrating its practical applications and computational advantages.
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