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Lecture
Signals & Systems: Midterm Solutions
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Fourier Transforms: Properties and Applications
Explores Fourier transforms, including properties, convolution, Parseval's theorem, and energy spectral density for non-periodic functions.
Spatial Response and Convolution
Covers the spatial response of systems, including the calculation of the center of mass and convolution.
Fourier Transform: Analysis IV
Covers the Fourier transform in Analysis IV, discussing Fourier series and solutions for various problems.
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: Light-matter interaction
Explores Fourier and Laplace transforms in materials science, focusing on light-matter interaction, diffraction patterns, and crystal properties.
Signals, Instruments, and Systems: System Properties and Transforms
Introduces system properties, Laplace Transform, and analog filters for signal analysis.
Discrete Fourier Transform: Introduction
Introduces the discrete Fourier transform, a key tool for digital signal analysis.
Laplace Transform: Basics
Introduces Laplace transform, ROC, and LTI systems with transfer functions and frequency response.
Frequency Estimation (Theory)
Covers the theory of numerical methods for frequency estimation on deterministic signals, including Fourier series and transform, Discrete Fourier transform, and the Sampling theorem.
Numerical Methods: Boundary Value Problems
Covers numerical methods for solving boundary value problems using Crank-Nicolson and FFT.