Fourier Transform: Inversion Formula

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Fourier Transform: Derivatives and Formulas

Explores Fourier transform properties with derivatives, crucial for solving equations, and introduces the Laplace transform for signal transformation.

Fourier Transform: Properties and Convolution

Covers the properties and convolution of the Fourier transform.

Fourier Transform Interpretation and Reciprocity Theorem

Explores the interpretation of Fourier transform and its application in signal modification.

Fourier Transform and Differential Equations

Discusses the Fourier transform and its application to solving differential equations, focusing on the wave equation and its transformations.

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.

Discrete Fourier Transform: Unlimited Duration Signals

Explores the Discrete Fourier Transform applied to signals of unlimited duration using various windows for improved accuracy.

Signal Processing: Sampling and Reconstruction

Covers the concepts of quantization, coding, and sampling in signal processing.

Fourier Transforms in Tomography: Inversion Techniques

Covers the application of Fourier transforms in tomography, focusing on the Radon transform and its inversion techniques.

Sampling and Reconstruction Theory

Covers the concepts of analog, discrete, and digital signals, sampling times, frequencies, and pulses.

Fourier Transform: Basics and Applications

Covers the basics of the Fourier transform and its applications in signal processing.