CT321 Digital Signal Processing Yash Vasavada Autumn 2016

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CT-321 Digital Signal Processing Yash Vasavada Autumn 2016 DA-IICT Lecture 8 LSI Systems and

CT-321 Digital Signal Processing Yash Vasavada Autumn 2016 DA-IICT Lecture 8 LSI Systems and DTFT 19 th August 2016

Review and Preview • Review of past lecture: – Convolution Operation – Relation to

Review and Preview • Review of past lecture: – Convolution Operation – Relation to DTFT – Properties of DTFT and LSI Systems • Preview of this lecture: – Properties of DTFT and LSI Systems • Reading Assignment – OS, 3 rd Edition: Sections 1. 2 to 1. 4, and Sections 1. 6 to 1. 9 • Note: available in the library – PM: Sections 2. 1 to 2. 3 Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th August 2016. 2

Properties of LSI System (or, equivalently, of Convolution Operation) • Commutative: • Distributive: •

Properties of LSI System (or, equivalently, of Convolution Operation) • Commutative: • Distributive: • Associative: Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th August 2016. 3

Properties of DTFT • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th

Properties of DTFT • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th August 2016. 4

Properties of DTFT • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th

Properties of DTFT • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th August 2016. 5

Properties of DTFT: Applications • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19

Properties of DTFT: Applications • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th August 2016. 6

Properties of DTFT: Applications Multiplication and Convolution • Yash Vasavada DA-IICT. Autumn 2016 CT-321.

Properties of DTFT: Applications Multiplication and Convolution • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th August 2016. 7

 Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th August 2016. 8

Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th August 2016. 8

 Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th August 2016. 9

Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th August 2016. 9

 Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th August 2016. 10

Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th August 2016. 10

 Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th August 2016. 11

Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th August 2016. 11

 Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th August 2016. 12

Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th August 2016. 12

 Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th August 2016. 13

Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th August 2016. 13

Properties of DTFT: Applications Time Shift and Symmetry: • Yash Vasavada DA-IICT. Autumn 2016

Properties of DTFT: Applications Time Shift and Symmetry: • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th August 2016. 14

Properties of DTFT: Applications Frequency Shift • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture

Properties of DTFT: Applications Frequency Shift • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 8: 19 th August 2016. 15