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Chapter 2 linear time invariant systems LTI Prepared by Dr. Taha MAhdy

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Chapter 2 linear time invariant systems LTI. Prepared by Dr. Taha MAhdy. Very important. Impulse Response of an LTI. The impulse response of a system can be used to determine the response of the system to any arbitrary input. Impulse Response of an LTI. Time invariant system h(t- tau). - PowerPoint PPT Presentation

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Page 1: Chapter 2 linear time invariant systems LTI

Chapter 2linear time invariant systems

LTIPrepared by

Dr. Taha MAhdy

Page 2: Chapter 2 linear time invariant systems LTI

Very important

Page 3: Chapter 2 linear time invariant systems LTI

Impulse Response of an LTI

The impulse response of a system can be used to determine the response of the system to any arbitrary input.

Page 4: Chapter 2 linear time invariant systems LTI

Impulse Response of an LTI

Time invariant system h(t- tau)

Page 5: Chapter 2 linear time invariant systems LTI

So, the input-output relationship is determined by the formula

Which is called Convolution

Page 6: Chapter 2 linear time invariant systems LTI

Convolution properties

Page 7: Chapter 2 linear time invariant systems LTI
Page 8: Chapter 2 linear time invariant systems LTI
Page 9: Chapter 2 linear time invariant systems LTI
Page 10: Chapter 2 linear time invariant systems LTI
Page 11: Chapter 2 linear time invariant systems LTI
Page 12: Chapter 2 linear time invariant systems LTI

More on convolution

Page 13: Chapter 2 linear time invariant systems LTI
Page 14: Chapter 2 linear time invariant systems LTI

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