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III Sem
Signals and Systems
Unit 1
Definition, types of signals and their representations
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Commonly used signals
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Classification of Signal
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Operations on continuous-time and discrete-time signals
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Operations on continuous-time and discrete-time signals
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Energy and Power Signals
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Unit 2
Laplace-Transform (LT)
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Important theorems and properties of LT
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Inverse Laplace Transform
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Solutions of differential equations using Laplace Transform
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One sided and Bilateral Ztransforms
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Properties and theorems
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Solution of difference equations using one-sided ZT
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Unit 3
Definition, conditions of existence of FT, properties, magnitude and phase spectra
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Some important FT theorems, Parseval’s theorem
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Fourier Transform Theorems
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Relation between Laplace transform & Fourier Transform
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Discrete Fourier Transform
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Inverse Discrete Fourier Transform
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Unit 4
Classification, linearity, timeinvariance and causality, impulse response
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Characterization of linear timeinvariant (LTI) systems
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LTI Systems
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Step response of discrete time systems
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Signal power and power spectral density
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Unit 5
Analysis of first order and second order systems
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Unit step response of second-order systems
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Continuous-time (CT) system analysis using LT
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System Function
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Illustration of the concepts of system bandwidth and rise time
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