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Continuous-time Fourier Transform Lecture-16 Page 1

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Page 1: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

Continuous-time Fourier Transform

Lecture-16 Page 1

Page 2: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

Lecture-16 Page 2

Page 3: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

Lecture-16 Page 3

Page 4: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

Lecture-16 Page 4

Page 5: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

Continuous-time Fourier Transform - Examples

Lecture-16 Page 5

Page 6: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

Lecture-16 Page 6

Page 7: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

the inverse FT of impulse signal in frequency domain and shifted impulse signal in frequency domain.

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Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.

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We also covered

Lecture-16 Page 7

Page 8: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

Continuous-time Fourier Transform - Examples (contd.)

Lecture-17 Page 1

Page 9: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

Lecture-17 Page 2

Page 10: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

Lecture-17 Page 3

Page 11: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

Properties of CT Fourier Transform

Lecture-17 Page 4

Page 12: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

Lecture-17 Page 5

Page 13: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

Properties of CT Fourier Transform (Contd.)

Lecture-18 Page 1

Page 14: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

Lecture-18 Page 2

Page 15: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

Lecture-18 Page 3

Page 16: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

Lecture-18 Page 4

Page 17: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

Lecture-18 Page 5

Page 18: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

Lecture-18 Page 6

Page 19: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

Lecture-18 Page 7

Page 20: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

CTFT Properties (contd.), FT and LTI Systems

Lecture-19 Page 1

Page 21: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

Lecture-19 Page 2

Page 22: Continuous-time Fourier Transform - Zubair Khalid · Fourier transform of CT periodic signals using the result of inverse Fourier transform of Impulse function in frequency domain.-We

We also covered use of Fourier Transform for analysis of LTI systems described by Linear Constant Coefficient (LCC) differential equations. See relevant section in the book and examples.

Lecture-19 Page 3