frequency response after this lesson, you will be able to: 1.know how complex exponentials are...

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Frequency Response • After this lesson, you will be able to: 1. Know how complex exponentials are eigenfunctions of LSI. And show how this property leads to the notion of a frequency response representation of LSI systems 2. Know what are the Discrete-Time Fourier Transform (DTFT) and the properties of DTFT. 3. Explore how the discrete-time Fourier transform may be used to solve LCCDEs and perform convolution

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Page 1: Frequency Response After this lesson, you will be able to: 1.Know how complex exponentials are eigenfunctions of LSI. And show how this property leads

Frequency Response

• After this lesson, you will be able to:1. Know how complex exponentials are eigenfunctions

of LSI. And show how this property leads to the notion of a frequency response representation of LSI systems

2. Know what are the Discrete-Time Fourier Transform (DTFT) and the properties of DTFT.

3. Explore how the discrete-time Fourier transform may be used to solve LCCDEs and perform convolution

Page 2: Frequency Response After this lesson, you will be able to: 1.Know how complex exponentials are eigenfunctions of LSI. And show how this property leads

Eigenfunctions and Frequency response

Page 3: Frequency Response After this lesson, you will be able to: 1.Know how complex exponentials are eigenfunctions of LSI. And show how this property leads

Eigenfunctions and Frequency response

Page 4: Frequency Response After this lesson, you will be able to: 1.Know how complex exponentials are eigenfunctions of LSI. And show how this property leads

Eigenfunctions and Frequency response

Page 5: Frequency Response After this lesson, you will be able to: 1.Know how complex exponentials are eigenfunctions of LSI. And show how this property leads

Frequency response

Page 6: Frequency Response After this lesson, you will be able to: 1.Know how complex exponentials are eigenfunctions of LSI. And show how this property leads

Interconnection of Systems

Page 7: Frequency Response After this lesson, you will be able to: 1.Know how complex exponentials are eigenfunctions of LSI. And show how this property leads

Interconnection of Systems

Page 8: Frequency Response After this lesson, you will be able to: 1.Know how complex exponentials are eigenfunctions of LSI. And show how this property leads

Discrete-Time Fourier Transform

Page 9: Frequency Response After this lesson, you will be able to: 1.Know how complex exponentials are eigenfunctions of LSI. And show how this property leads

Discrete-Time Fourier Transform

Page 10: Frequency Response After this lesson, you will be able to: 1.Know how complex exponentials are eigenfunctions of LSI. And show how this property leads

Discrete-Time Fourier Properties

Page 11: Frequency Response After this lesson, you will be able to: 1.Know how complex exponentials are eigenfunctions of LSI. And show how this property leads

Discrete-Time Fourier Properties

Page 12: Frequency Response After this lesson, you will be able to: 1.Know how complex exponentials are eigenfunctions of LSI. And show how this property leads

Discrete-Time Fourier Pairs

Page 13: Frequency Response After this lesson, you will be able to: 1.Know how complex exponentials are eigenfunctions of LSI. And show how this property leads

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