Unit - I
Signals : Representation of Signals, Singularity Functions, Discrete Time Signals, Types of Signals, Time Scaling and Shifting, Convolution and Correlation of LTI Systems, Correlation of energy and power signals.
Unit - II
Systems and Analysis of System : System Classification, Linearity/Time Invariance, Causal System, Characterization of LTI Systems, Unit Sample Response, Generalization of D.T. Systems, Concept of Stability, Convolution Integrals/summations, Energy and Power spectral density, Properties of Power spectral Density, Analysis of First order systems, Analysis of second order systems.
Unit - III
Fourier Transform : Properties and Significance of CTFT, CTFT of Common Signals, Inverse CTFT, Introduction to DTFT, DTFT of Common Signals, Theorems and Properties DTFT, Inverse DTFT; Continuous Time and Discrete Time Hilbert Transform and its Properties. Introduction of Gaussian signal and its Fourier transform.
Unit - IV
Laplace Transform and Z Transform : Laplace Transforms Introduction, Laplace Transforms of common signals, Theorems and properties of Laplace Transforms, Concept of Region of Convergence, Inverse Laplace Transforms; Z Transforms Introduction, Z Transforms of Common Signals, Theorems and properties of Z Transforms, Inverse Z Transforms.
Unit - V
Sampling of Time Signals : Nyquist Criterion, Sampling theorem and frequency domain representation of sampling, Sampling Techniques, Reconstruction of band limited signal from its samples, Sampling of Sinusoidal and other signals.