Lecture

The convolution theorem

Description

This lecture covers the convolution theorem, which relates the DTFT of a convolution to the product of the DTFTs of the individual signals. It explains how to build a signal from complex exponential functions and how linear filters affect sinusoidal frequencies. The lecture also delves into the magnitude and phase effects of the frequency response, discussing amplification, attenuation, phase shifts, delays, and advancements.

In MOOCs (4)
Digital Signal Processing I
Basic signal processing concepts, Fourier analysis and filters. This module can be used as a starting point or a basic refresher in elementary DSP
Digital Signal Processing II
Adaptive signal processing, A/D and D/A. This module provides the basic tools for adaptive filtering and a solid mathematical framework for sampling and quantization
Digital Signal Processing III
Advanced topics: this module covers real-time audio processing (with examples on a hardware board), image processing and communication system design.
Digital Signal Processing IV
Advanced topics: this module covers real-time audio processing (with examples on a hardware board), image processing and communication system design.
Instructors (3)
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