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III Sem
Basic System Analysis
Unit 1
Definition, types of signals and their representations
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Commonly used signals
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Inversion, Shifting and Scaling of signals
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Introduction to various types of systems
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Stable, Linear and Time invariant systems
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Analogous System
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Modeling of mechanical and electro-mechanical systems
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Unit 2
Fourier Series
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Fourier Series Examples
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Periodic Functions
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Periodic Functions (2)
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Decomposition
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Fourier symmetry
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Fourier Transform: properties
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Properties, Applications to network analysis
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Fourier Transform: Applications to network analysis
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Unit 3
Review of Laplace-Transform (LT)
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Initial and Final Value theorems
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Inverse Laplace Transform
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Application of Laplace Transform to analysis of networks
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Waveform synthesis and Laplace Transform of complex waveforms
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Unit 4
Introduction, State Space representation of linear systems
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State Transition Matrix
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Transfer Function and State Variables
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Applications of State-Variable technique to the analysis of linear systems
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Applications of State-Variable technique to the analysis of linear systems (cont..)
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Solution of State Equations for homogeneous and non-homogeneous systems
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Unit 5
Concept of Z-Transform
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Z-Transform of common functions
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Inverse Z Transform & theorems
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Solution of difference equations using one-sided ZT
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Applications to solution of difference equations, Pulse Transfer Function
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