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Lecture
Image Processing I: Fourier Transform and Optical Systems
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Fourier Series: Understanding Coefficients and Periodicity
Explores Fourier series coefficients, periodicity, and series relations.
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.
Signal Representation: Fourier Transforms
Covers the representation of signals using Fourier transforms and the properties of signal vectors.
Linear Time Invariant Systems
Covers LTI systems, impulse response, convolution, Fourier Transform, and system characterization.
Improving Image Contrast: Fourier Filtering Techniques
Covers optical methods for improving image contrast using Fourier filtering techniques in a 4F optical setup.
Fourier Analysis: Fourier Series and Transform
Explores Fourier series, DFT, FFT, and their applications in signal processing and spectroscopy.
Discrete-Time Fourier Transform: Properties
Explores the properties of Discrete-Time Fourier Transform, including linearity, time and frequency shifts, time reversal, and convolution.
Fourier Analysis: Applications and Inversion Formula
Explores Fourier analysis applications and the inversion formula in the context of periodicity and continuous functions.
Frequency Response of LTI Systems
Explores LTI systems, impulse response, convolution, system properties, and frequency response, including low-pass and band-pass filters.
Fourier Transform: Analysis IV
Covers the Fourier transform in Analysis IV, discussing Fourier series and solutions for various problems.
