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Fourier Analysis: Lecture Recap
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Psychoacoustics and Signal Processing
Explores psychoacoustics, signal processing, and the brain's interpretation of sound frequencies, covering topics like the Missing Fundamental phenomenon and the inner workings of the cochlea.
Properties of Fourier Transform
Explores the properties and applications of the Fourier transform in signal processing and mathematics.
Signals & Systems I: Fourier Analysis
Explores Fourier analysis, including reconstruction formula, Fourier series, and spectrum interpretation.
Discrete-Time Fourier Transform: Properties
Explores the properties of Discrete-Time Fourier Transform, including linearity, time and frequency shifts, time reversal, and convolution.
Fourier Transforms: Dirac Delta, Fourier Integral, and Transform
Explores the Dirac delta, Fourier integral, and Fourier transform applications in solving PDE problems.
Spectral Properties of Fourier Series and Fourier Transforms
Explores the motivation behind Fourier series and transforms, their fundamentals, and applications in solving differential equations.
Fourier Series: Understanding Coefficients and Periodicity
Explores Fourier series coefficients, periodicity, and series relations.
Convolution: Effect of Main Lobe
Explains the effect of convolving any spectrum by the Fourier transform of a rectangular window.
Fourier Transform: Analysis IV
Covers the Fourier transform in Analysis IV, discussing Fourier series and solutions for various problems.
Sampling and Reconstruction Theory
Covers the concepts of analog, discrete, and digital signals, sampling times, frequencies, and pulses.