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Rashtrasant Tukadoji Maharaj Nagpur University, Maharashtra, Electrical Engineering Semester 4, Signal & Systems Syllabus
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Unit - 1 Introduction to Signals and Systems
Unit 1
Introduction to Signals and Systems
1.1 Signals and Systems as seen in Everyday Life and In various Branches of Enginnering and Science
1.2 Signal properties periodicity absolute integrability determinism and stochastic character
1.3 Some special signals of importance the unit step the unit impulse the sinusoid the complex exponential
1.4 Some special timelimited signals continuous and discrete time signals continuous and discrete amplitude signals
1.5 System properties linearity additively and homogeneity shift invariance causality stability realizability Examples
Unit - 2 Behavior of continuous and discrete-time LTI systems
Unit 2
Behaviour of continuous and discrete time LTI systems
2.1 Impulse Response and Step Response
2.2 Convolution
2.3 InputOutput Behaviour with periodic convergence inputs
2.4 Cascade Interconnections
2.5 Characterization of Causality and Stability of LTI systems
2.6 System representation through differential equations and difference equations
2.7 State Space Representation of Systems
2.8 State Space Analysis
2.9 Multi Input Output Representation
2.10 State Transition Matrix and its Role
2.11 Periodic Inputs to LTI system
2.12 Notion of frequency response and its relation to impulse response
Unit - 3 Convolution
Unit 3
Convolution
3.1 Convolution Sum
3.2 Convolution Integral and Their Evaluation
3.3 Time Domain Representation and Analysis of LTI Systems Based on Convolution and Differential Equations
Unit 3
Convolution
3.1 Convolution Sum
3.2 Convolution Integral and Their Evaluation
3.3 Time Domain Representation and Analysis of LTI Systems Based on Convolution and Differential Equations
Unit - 4 Time and Frequency Domain Transformations
Unit 4
Time and Frequency Domain Transformations
4.1 Fourier Series Representation of Periodic Signals
4.2 Waveform Symmetries
4.3 Calculation of Fourier Coeffecients
4.4 Fourier Transform
4.5 ConvolutionMultiplication and their effect in frequency domain
4.6 Magnitude and Phase Response
4.7 Fourier Transform Duality
4.8 Discrete Time Fourier Transform and Discrete Fourier Transform
4.9 Parseval’s theorem
4.10 Review of Laplace Transform for Continuous Time Signals and Systems
4.11 System functions
4.12 Poles and Zeros of System functions and Signals
4.13 Laplace domain analysis
4.14 Solution to differential equation and system behaviour
4.15 Z transform for discrete time signals and systems
4.16 System functions
4.17 Poles and Zeros of systems and sequences
4.18 Z domain analysis
Unit - 5 Sampling and Reconstruction
Unit 5
Sampling and Reconstruction
5.1 Sampling theorem and its implications
5.2 Spectra of sampled signals
5.3 Reconstruction Ideal Interpolator
5.4 Zero Order Hold
5.5 First Order Hold
5.6 Aliasing and its effects
5.7 Relation between continuous and discrete systems
5.8 Introduction to the application of Signal And System Theory filtering feedback control systems
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