Convolution

Applied sciences
Information engineering
Signal processing
Fourier analysis

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Related lectures (32)

Discrete Signals and Linear Systems

Explores discrete signals, linear systems, categorization examples, and convolution properties in signal processing.

Products and Convolution of Transforms

Covers the definition and properties of convolution of two functions and explores radioactive material decay rates.

Introduction to the Laplace Transform

Covers the Laplace Transform, LTI systems, Fourier Transforms, and properties.

Geometric Response in LTI Systems

Explains geometric response in LTI systems and its relationship with impulse response.

Signals & Systems II: Discrete Linear Systems

Explores categorization of signals, linear systems, LID, convolution, and impulse response.

Fourier Series and Transforms: Introduction and Properties

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

Stable LTI Systems: Frequency Response Analysis

Explores stable LTI systems through frequency response analysis, convolution properties, and differential equations solutions.

Fourier Analysis: Applications and Inversion Formula

Explores Fourier analysis applications and the inversion formula in the context of periodicity and continuous functions.

The convolution theorem

Explores the convolution theorem, DTFT reconstruction, frequency response effects, and signal building.

Frequency Response of LTI Systems

Explores LTI systems, impulse response, convolution, system properties, and frequency response, including low-pass and band-pass filters.

Solving Poisson Problem: Fourier Transform Approach

Explores using Fourier transform to simplify solving the Poisson problem, transforming convolutions into multiplications for an explicit solution.

Fourier Transform Properties

Covers the properties of the Fourier transform, including linearity, shifts, time reversal, differentiation, integration, convolution, and conjugate symmetry.

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