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Lecture
The DTFT as a change of basis
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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.
Fourier Transform: Circuit Analysis
Explores the Fourier transform applied to circuit analysis and its properties.
Properties of Fourier and inverse Fourier transforms
Explores the properties of Fourier and inverse Fourier transforms, analyzing finite wave trains, Gaussian functions, and 3D space transformations.
Fourier Transform Applications: Image Processing Basics
Covers image processing basics, Fourier transformation, convolution, cross-correlation, and 3D reconstruction using the Radon projection theorem.
Discrete Fourier Transform: Frequency Periodicity and Reconstruction
Explores frequency periodicity in the discrete Fourier transform for signal reconstruction.
Discrete Fourier Transform: Main Properties
Covers the main properties of the Discrete Fourier Transform and convolution methods.
Reciprocal Lattices: Fourier Transform
Covers the Fourier transform for any function and periodic representations in reciprocal lattices.
Fast Fourier Transform: Basics and Applications
Explores the Fast Fourier Transform algorithm for efficient signal processing applications, including dividing signals and analyzing complexity.
Discrete Fourier Transform: Introduction and Sampling
Covers the introduction of discrete Fourier transform and its implications on signal reconstruction.
Signal Processing Fundamentals
Covers the basics of signal processing and electric circuits.