CT321 Digital Signal Processing Lecture 2 Types of

Types of Signals • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th

Types of Signals • Analog versus Digital – Analog signals are continuous in both

Concept of Frequency in Continuous Time Domain • Yash Vasavada DA-IICT. Autumn 2016 CT-321.

Concept of Frequency in Discrete Time Domain • Block Diagram of Sampling Operation Yash

Concept of Frequency in Discrete Time Domain • Yash Vasavada DA-IICT. Autumn 2016 CT-321.

Concept of Frequency in Discrete Time Domain • Sampling in time domain Periodicity in

Concept of Frequency in Discrete Time Domain Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture

Duality between Time and Frequency Domains • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture

Several Special Sequences • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th

Several Special Sequences Unit Sample Sequence Unit Step Extends to infinity Yash Vasavada DA-IICT.

Several Special Sequences Rectangular Pulse Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27

Several Special Sequences Blows up leftward Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1:

Several Special Sequences Blows up rightward Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1:

Several Special Sequences: An Aside on Time Shifts • Yash Vasavada DA-IICT. Autumn 2016

Several Special Sequences Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th July

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CT-321 Digital Signal Processing Lecture 2: Types of Signals 3 rd August 2016 Yash Vasavada Autumn 2016 DA-IICT

Types of Signals • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th July 2016. 2

Types of Signals • Analog versus Digital – Analog signals are continuous in both time and amplitude • Audio (speech, music, etc. ), video, electromagnetic, seismographic, voltage, temperature, etc. – Digital signals are discrete in both time and amplitude • Stock market data, rain fall data, crop data, inventory data, sales data – We will mostly study a hybrid: discrete time continuous valued signals (digital time analog valued signals) • Reason is convenience: theory of digital signals is too complicated (involves nonlinearities in conversion of analog amplitude to digital amplitude) • Another reason is applicability: discrete-time continuous-amplitude signals provide a good enough approximation to the digital signals • A cautionary note: in practice, care needs to be taken to account for the nonlinear finite-precision effects Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th July 2016. 3

Concept of Frequency in Continuous Time Domain • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th July 2016. 4

Concept of Frequency in Discrete Time Domain • Block Diagram of Sampling Operation Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th July 2016. 5

Concept of Frequency in Discrete Time Domain • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th July 2016. 6

Concept of Frequency in Discrete Time Domain • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th July 2016. 7

Concept of Frequency in Discrete Time Domain • Sampling in time domain Periodicity in frequency domain Frequency in Continuous Time Domain Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th July 2016. 8

Concept of Frequency in Discrete Time Domain • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th July 2016. 9

Concept of Frequency in Discrete Time Domain Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th July 2016. 10

Duality between Time and Frequency Domains • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th July 2016. 11

Several Special Sequences • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th July 2016. 12

Several Special Sequences Unit Sample Sequence Unit Step Extends to infinity Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th July 2016. 13

Several Special Sequences Rectangular Pulse Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th July 2016. 14

Several Special Sequences Blows up leftward Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th July 2016. 15

Several Special Sequences Blows up rightward Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th July 2016. 16

Several Special Sequences: An Aside on Time Shifts • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th July 2016. 17

Several Special Sequences • Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th July 2016. 18

Several Special Sequences Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th July 2016. 19

Several Special Sequences Yash Vasavada DA-IICT. Autumn 2016 CT-321. Lecture 1: 27 th July 2016. 20