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Undergraduate Course On Signals And Systems-I

19-11-2022, 05:56, posted by Baturi
Undergraduate Course On Signals And Systems-I
Published 11/2022
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz
Language: English | Size: 13.39 GB | Duration: 13h 37m
Fundamentals of signal processing in Continuous time domain and in Discrete time domain


What you'll learn
Basic definitions of Continuous and discrete signals and opertions on time
Periodic and aperiodic signals
Energy and power signals
Even and odd signals
Singularity functions like unit impulse, unit step and unit impulse signals
System defintion and properties
Basic convolution in continuous and discrete time domains
Requirements
Basic Mathematics
Description
This is an undergraduate course on signals and systems. This course is first one in a series of two courses on basics of signals and systemsFor any electrical, electronics, Instrumentation or bio-medical engineering student understanding basics of signals in continuous time(CT) domain and in discrete time(DT) domain is a must. This course gives an in-depth coverage of all the fundamentals required for signal processing in both the domains. This can also be taken as a refresher course to understand 'Digital signal processing'.The organisation and coverage of topics is as follows:Introduction to signals: This module begins with basic definition of signal and system. The primary classification of signals and independent variables in signal representation are well explained. Then we will move on to the operations performed on independent variable like time and their order of precedence. Classification of signals: Periodic and aperiodic signal classification is explained with sinusoidal signals and real exponential signals in detail. Another classification energy and power signals is given with all necessary examples. Finally, even and odd signals classification and its extension conjugate symmetric and conjugate anti symmetric signal classification is explained. Standard signals: An in-depth coverage of singularity functions like unit-impulse, unit-step and unit-ramp signals are given in this chapter. All these signals are defined graphically and mathematically in both CT and DT domains. Properties of signals and relation between singularity functions is also explained. And other signals like signum function, sinc function etc., are also covered.System properties: All the system properties that is Linearity, time invariance, causality, stability, memory and invertibility are well explained with standard examples.About Author:Mr. Udaya Bhaskar is an undergraduate university level faculty and GATE teaching faculty with more than 16 years of teaching experience. His areas of interest are signal processing, semiconductors, digital design and other fundamental subjects of electronics. He trained thousands of students for GATE and ESE examinations.
Overview
Section 1: Introduction
Lecture 1 Definition of signal and system
Lecture 2 Independent Variables- Time and frequency
Lecture 3 Note on independent variables
Lecture 4 Primary classification of signals
Lecture 5 Construction of a discrete domain signal
Lecture 6 Finite duration sequence and definition of sampling and interpolation
Lecture 7 Time shifting operation-01
Lecture 8 Time shifting operation-02
Lecture 9 Time scaling operation in CT domain
Lecture 10 Time compression in DT domain
Lecture 11 Time expansion in DT domain-01
Lecture 12 Time expansion in DT domain-02
Lecture 13 Time inversion
Lecture 14 Amplitude inversion
Lecture 15 Order of precedence in CT domain
Lecture 16 Order of precedence in DT domain
Lecture 17 Solved example-01
Lecture 18 Solved example-02
Lecture 19 Solved example-03
Lecture 20 Solved example-04
Section 2: Classification of signals
Lecture 21 Periodic signal construction
Lecture 22 Periodic signal- fundamental period and fundamental frequency
Lecture 23 Periodic signal in DT domain
Lecture 24 Summation of periodic signals
Lecture 25 Solved example-01
Lecture 26 Example for periodic signal-Sinusoidal signals
Lecture 27 Sinusoidal signals in DT domain
Lecture 28 L28
Lecture 29 Difference between CT and DT domain sinusoidal signals-01
Lecture 30 Difference between CT and DT domain sinusoidal signals-02
Lecture 31 Solved example-02
Lecture 32 Solved example-03
Lecture 33 Solved example-04
Lecture 34 Solved example-05
Lecture 35 Solved example-06
Lecture 36 Solved example-07
Lecture 37 Example for aperiodic signals- real exponential signal
Lecture 38 Real exponential signals in DT domain
Lecture 39 Engery and power signal- Basic definitions
Lecture 40 Energy and power signal- Mathematical expressions
Lecture 41 Energy and power expressions-Summary
Lecture 42 Root Mean Square(RMS) value
Lecture 43 Operations performed on energy signal
Lecture 44 Operations performed on power signal
Lecture 45 Average power calculation of sinusoidal signals-01
Lecture 46 Average power calculation of sinusoidal signals-02
Lecture 47 Solved example-08
Lecture 48 Solved example-09
Lecture 49 Solved example-10
Lecture 50 Solved example-11
Lecture 51 Even and Odd signals-Definition
Lecture 52 Real signal as a combination of even and odd signals
Lecture 53 Area of even and odd signals
Lecture 54 Conjuage symmetric and Conjuage anti symmetric signals
Lecture 55 CS and CAS signals(contd....)
Lecture 56 Solved example-12
Lecture 57 Solved example-13
Lecture 58 Solved example-14
Lecture 59 Solved example-15
Section 3: Standard signals
Lecture 60 Unit impulse signal in CT and DT domains
Lecture 61 Area of unit impulse
Lecture 62 Sampling property
Lecture 63 Sampling property in DT domain
Lecture 64 Sifting property
Lecture 65 Scaling property
Lecture 66 Differentiation property
Lecture 67 Impulse train
Lecture 68 Discrete time signal as combination of impulses
Lecture 69 Continuous time signal as combination of impulses
Lecture 70 Solved example-01
Lecture 71 Solved example-02
Lecture 72 Solved example-03
Lecture 73 Solved example-04
Lecture 74 Unit step signal definition
Lecture 75 Practice step signal
Lecture 76 Unit step scaling
Lecture 77 Energy and power of step signal
Lecture 78 Even and Odd components of unit step signal
Lecture 79 Combination of step signals
Lecture 80 Causal signal definition wrt to step signal
Lecture 81 Causal signals in DT domain
Lecture 82 Causality condition-examples
Lecture 83 Significance of step signal
Lecture 84 Energy calculation for real exponential signals
Lecture 85 Energy of real exponential signals-summary
Lecture 86 Energy of real exponential signals in DT domain
Lecture 87 Relation between unit step and unit impulse-01
Lecture 88 Relation between unit step and unit impulse-02
Lecture 89 Relation between step and impulse-Summary
Lecture 90 Signum function
Lecture 91 Solved example-05
Lecture 92 Solved example-06
Lecture 93 Solved example-07
Lecture 94 Solved example-08
Lecture 95 Solved example-09
Lecture 96 Solved example-10
Lecture 97 Unit ramp signal definition
Lecture 98 Ramp signal scaling
Lecture 99 Combination of ramp signals
Lecture 100 Triangular pulse
Lecture 101 Relation between ramp-step-impulse
Lecture 102 Solved example-11
Lecture 103 Solved example-12
Lecture 104 Sinc function and Sampling function
Lecture 105 Sinc function in discrete time domain
Section 4: System properties
Lecture 106 System properties
Lecture 107 Linearity
Lecture 108 Linearity graphical representation
Lecture 109 Step by step procedure for finding linearity of a system
Lecture 110 Linearity- standard example set-01
Lecture 111 Linearity- standard example set-02
Lecture 112 Linearity-standard example set-03
Lecture 113 Linearity- standard example set-04
Lecture 114 Linearity-Special case
Lecture 115 Time invariance-definition
Lecture 116 Procedure to determine time invariance
Lecture 117 Time invariance-Standard example set-01
Lecture 118 Time invariance-Standard example set-02
Lecture 119 Time invariance-Standard example set-03
Undergraduate engineering students with Electrical engineering, Electronics engineering, Biomedical engineering, Instrumentation engineering as specialisation,Diploma/Polytechnic students with Electronics engineering, Communication engineering, Instrumentation as specialisation,GATE and PSU preparing students,Any Electronics or communication engineer who wants strengthen signal processing fundamentals

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