Lecture

Existence and properties of the DTFT

Description

This lecture covers the existence and properties of the Discrete-Time Fourier Transform (DTFT). It explains the conditions for the existence of DTFT, the inversion process, formal basis change, and key properties such as linearity, time shift, modulation, time reversal, and conjugation. Special cases for symmetric and real sequences are also discussed.

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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