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Jharkhand University of Technology, Jharkhand, Electronics and Communication engineering Semester 4, SIGNALS AND 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 Time Limited Signals continuous and discrete time signals continuous and discrete amplitude signals
1.5 System properties linearity additivity and homogeneity shiftinvariance causality stability realizability. Examples
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 Time Limited Signals continuous and discrete time signals continuous and discrete amplitude signals
1.5 System properties linearity additivity and homogeneity shiftinvariance 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 and difference equations
2.7 State Space Representation of Systems
2.8 State Space Analysis
2.9 Multiinput multioutput 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 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 and difference equations
2.7 State Space Representation of Systems
2.8 State Space Analysis
2.9 Multiinput multioutput 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 Fourier Transforms
Unit 3
Fourier Transforms
3.1 Fourier Series Representation of Periodic Signals
3.2 Waveform Symmetries
3.3 Calculation of Fourier Coeffecients
3.4 Fourier Transform
3.5 ConvolutionMultiplication and their effect in frequency domain
3.6 Magnitude and Phase Response
3.7 Fourier Transform Duality
3.8 The DiscreteTime Fourier Transform DTFT and the Discrete Fourier Transform DFT
3.9 Parseval’s theorem
Unit 3
Fourier Transforms
3.1 Fourier Series Representation of Periodic Signals
3.2 Waveform Symmetries
3.3 Calculation of Fourier Coeffecients
3.4 Fourier Transform
3.5 ConvolutionMultiplication and their effect in frequency domain
3.6 Magnitude and Phase Response
3.7 Fourier Transform Duality
3.8 The DiscreteTime Fourier Transform DTFT and the Discrete Fourier Transform DFT
3.9 Parseval’s theorem
Unit - 4 Laplace and z- Transforms
Unit 4
Laplace and z Transforms
4.1 Review of Laplace Transform for Continuous Time Signals and Systems
4.2 System functions
4.3 Poles and Zeros of System functions and Signals
4.4 Laplace domain analysis
4.5 Solution to differential equation and system behaviour
4.6 The zTransform for discrete time signals and systems
4.7 System functions
4.8 Poles and Zeros of systems and sequences
4.8 Z domain analysis
Unit 4
Laplace and z Transforms
4.1 Review of Laplace Transform for Continuous Time Signals and Systems
4.2 System functions
4.3 Poles and Zeros of System functions and Signals
4.4 Laplace domain analysis
4.5 Solution to differential equation and system behaviour
4.6 The zTransform for discrete time signals and systems
4.7 System functions
4.8 Poles and Zeros of systems and sequences
4.8 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 zeroorder hold firstorder hold
5.4 Aliasing and its effects
5.5 Relation between continuous and discrete systems
5.6 Introduction to the applications of signal and system theory modulation for communication filtering feedback control systems
Unit 5
Sampling and Reconstruction
5.1 Sampling theorem and its implications
5.2 Spectra of sampled signals
5.3 Reconstruction ideal interpolator zeroorder hold firstorder hold
5.4 Aliasing and its effects
5.5 Relation between continuous and discrete systems
5.6 Introduction to the applications of signal and system theory modulation for communication filtering feedback control systems
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