Lecture
DFT definition: Fourier Basis and Basis Expansion
Description
This lecture introduces the Discrete Fourier Transform (DFT) and its definition using the Fourier Basis for Complex Numbers. It covers the basis expansion in both signal and vector notations, the analysis and synthesis formulas, and the change of basis in matrix form. The lecture also explains the N-point signal representation in the frequency and time domains.
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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