CT321 Digital Signal Processing Yash Vasavada Autumn 2016

CT-321 Digital Signal Processing Yash Vasavada Autumn 2016 DA-IICT Lecture 5 LSI Systems and DTFT 10 th August 2016

Review and Preview • Review of past lecture: – Linear Time (or Shift) Invariant Systems – Impulse Response of LSI Systems – Convolution Operation • Preview of this lecture: – Convolution Operation – Relation to DTFT – 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 5: 10 th August 2016. 2

Digital Signal Processing Systems: Some Key Properties • Consider the two systems A and B shown below Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 5: 10 th August 2016. 3

Digital Signal Processing Systems: Some Key Properties • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 5: 10 th August 2016. 4

Impulse Response of Linear Shift Invariant Systems • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 5: 10 th August 2016. 5

Output of Linear Shift Invariant Systems as a Function of Impulse Response and the Input • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 5: 10 th August 2016. 6

Output of Linear Shift Invariant Systems as a Function of Impulse Response and the Input • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 5: 10 th August 2016. 7

Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 5: 10 th August 2016. 8

Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 5: 10 th August 2016. 9

Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 5: 10 th August 2016. 10

Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 5: 10 th August 2016. 11

Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 5: 10 th August 2016. 12

Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 5: 10 th August 2016. 13

Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 5: 10 th August 2016. 14

Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 5: 10 th August 2016. 15