Lecture

The DTFT as a change of basis

Description

This lecture covers the Discrete-Time Fourier Transform (DTFT) as a change of basis, exploring the concept of DTFT as a basis expansion and the Dirac delta functional. It delves into the intuition behind the family of localizing functions and extracting point values using the Mean Value theorem. The lecture also discusses the Dirac delta functional as a shorthand and the use of the 'pulse train' in the space of 2π-periodic functions, concluding with the graphical representation and practical examples.

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