Fourier Analysis III

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Description

This lecture covers the analysis of Fourier coefficients, periodic functions, and the Fourier transform. It delves into the properties of Fourier transforms, continuity, linearity, and composition. The lecture also explores the convolution product and its applications in signal processing.

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Information engineering

Signal processing: Fourier analysis

Related lectures (31)

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Instructors (2)

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Ontological neighbourhood

Information engineering

Signal processing: Fourier analysis

Related lectures (31)

Fourier Transform: Concepts and Applications

Covers the Fourier transform, its properties, applications in signal processing, and differential equations, emphasizing the concept of derivatives becoming multiplications in the frequency domain.

Properties of Fourier Transform

Explores the properties and applications of the Fourier transform in signal processing and mathematics.

Signal Representations

Covers the properties of signal/data representations using Fourier transformations and matrices.

Fourier Series and Transforms: Introduction and Properties

Covers Fourier series, Fourier transforms, and convolution properties, including linearity and commutativity.

Fourier Transforms: Properties and Applications

Explores Fourier transforms, including properties, convolution, Parseval's theorem, and energy spectral density for non-periodic functions.