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Lecture
Fourier Analysis: Fourier Series and Transform
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Introduces the discrete Fourier transform, a key tool for digital signal analysis.
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Covers the importance of sampling in signal processing, including the sampling theorem and signal reconstruction.
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Explores Fourier analysis, PDEs, historical context, heat equation, Laplace equation, and periodic boundary conditions.
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Covers the concepts of analog, discrete, and digital signals, sampling times, frequencies, and pulses.
Discrete Fourier Transform: Sampling and Interpretation
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Explores the properties of Discrete-Time Fourier Transform, including linearity, time and frequency shifts, time reversal, and convolution.
