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Lecture 9: Fourier Transform Properties and Examples

Lecture 9: Fourier Transform Properties and Examples. 3. Basis functions (3 lectures): Concept of basis function. Fourier series representation of time functions. Fourier transform and its properties . Examples, transform of simple time functions . Specific objectives for today:

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Lecture 13: Examples of the DFT and its inverse; DFT of a real valued signal Sections 2.2.3, 2.3

Lecture 13: Examples of the DFT and its inverse; DFT of a real valued signal Sections 2.2.3, 2.3.

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272 views • 13 slides

Problem 1

Problem 1. The signal x ( n ) is defined as x (-1) = x (1) = 1, x (0) = -2, and x ( n ) = 0 for all n ? -1, 0, or 1. x is also periodic, with p = 100. (Source: Quiz 3, Fall 2009). 1. How many DFS coefficients does x have? Find these coefficients.

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215 views • 11 slides

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Lecture 9: Fourier Transform Properties and Examples

Lecture 13: Examples of the DFT and its inverse; DFT of a real valued signal Sections 2.2.3, 2.3

Problem 1