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Lecture
Signals & Systems II: Fourier Transform and Eigenvectors
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Discrete-Time Fourier Transform: Properties
Explores the properties of Discrete-Time Fourier Transform, including linearity, time and frequency shifts, time reversal, and convolution.
Signal Representations
Covers the properties of signal/data representations using Fourier transformations and matrices.
Interpreting a DFT plot
Explains the interpretation of a DFT plot and energy distribution in signals.
Discrete Fourier series: Inherent periodicities and time shifts
Explores the Discrete Fourier Transform synthesis and analysis formulas, time shifts for finite-length signals, and the equivalence between DFS and DFT.
Discrete Signals & Fourier Transform
Explores discrete signals, Fourier transform, modulation, convolution, DFT properties, and signal periodicity.
Frequency Estimation in Deterministic Case (Low Noise)
Covers frequency estimation in deterministic signals using DFT and signal processing.
Fast Fourier Transform: Basics and Applications
Explores the Fast Fourier Transform algorithm for efficient signal processing applications, including dividing signals and analyzing complexity.
Fourier Transforms: Properties and Applications
Explores Fourier transforms, including properties, convolution, Parseval's theorem, and energy spectral density for non-periodic functions.
Image Processing II: DFT, DCT, and Wavelet Transforms
Explores eigenfaces, DFT, DCT, and wavelet transforms in image processing.
Continuous-time Fourier Transform
Covers the continuous-time Fourier transform, its properties, and applications to stable LTI systems.
