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Lecture
Fourier Transform: Properties and Convolution
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Fourier Transform: Basics and Examples
Explains the basics of Fourier transform and demonstrates its application through examples, including periodic functions and Fourier Transform Pairs.
Symmetry and Modulation in Signals & Systems
Explores symmetry relations, modulation techniques, Fourier transform properties, and signal processing effects.
Discrete Signals & Fourier Transform
Explores discrete signals, Fourier transform, modulation, convolution, DFT properties, and signal periodicity.
Discrete-Time Fourier Transform: Properties
Explores the properties of Discrete-Time Fourier Transform, including linearity, time and frequency shifts, time reversal, and convolution.
Fourier Transform and Convolution Product in Signal Processing
Explores the Fourier transform, convolution product, and their applications in signal processing.
Solving unbounded PDE's using Fourier Transforms and Convolution: Obtaining the d'Alembert solution of the wave equation
Explores elementary properties of Fourier Transforms, convolution, Parseval's Theorem, and the d'Alembert solution of the wave equation using Fourier Transforms and convolution.
Fourier Transforms: Dirac Delta, Fourier Integral, and Transform
Explores the Dirac delta, Fourier integral, and Fourier transform applications in solving PDE problems.
Sampling and Reconstruction Theory
Covers the concepts of analog, discrete, and digital signals, sampling times, frequencies, and pulses.
Fourier Transform: Properties and Applications
Covers the properties and applications of the Fourier transform and its relation to Heisenberg's uncertainty principle.
Fourier and Laplace Transforms: Concepts and Applications
Provides an overview of Fourier and Laplace transforms, their properties, and applications in signal analysis.