Standard signals- Step, Ramp, Pulse, Impulse, Real and complex exponentials and Sinusoids –Representation of Signals- basic operations on signals - Classification of signals – Continuous time (CT) and Discrete Time (DT) signals, Periodic & Aperiodic signals, Deterministic & Random signals, Energy & Power signals- CT systems and DT systems, Classification of systems.
Introduction to Continuous Time Fourier Series (CTFS) - Representation of CT aperiodic signals by Continuous Time Fourier Transform (CTFT) – CTFT of CT periodic signals - Convergence of CTFT - Properties of CTFT - Laplace transforms in Signal Analysis – properties – working with simple Sensors and CT signals Processing.
Differential Equation-Block diagram representation- convolution integrals – step response and impulse response of LTI systems - Fourier and Laplace transforms in Analysis of LTI systems.
Baseband Sampling of CT signals–Introduction to Discrete Time Fourier Series (DTFS) and Discrete-Time Fourier Transform (DTFT) - Z transform – ROC –Inverse Transform using Partial Fraction method - Properties of Z transform – working with simple Sensors and DT signals Processing.
Difference Equations-Block diagram representation - Linear and Circular Convolutions -Pole- zero plot- Analysis and characterization of LTI system using Z transform- step response and impulse response of LTI systems - frequency response of DT systems - Stability and Causality
Reference Book:
1. Signals and Systems – K. Deergha Rao, Birkhauser, 2018 2. Krishnaveni.V, Rajeswari.A, “Signals and Systemsâ€, First Edition, Wiley India Pvt.Ltd, 2012. 3 Haykin. S and Barry Van Veen, “Signals and Systemsâ€, John Wiley and Sons, Second Edition, 2012
Text Book:
1. M. J. Roberts and G. Sharma, Fundamentals of Signals and Systems, 2nd edition. McGraw-Hill Education, 2017. 2 A. V. Oppenheim, A. S. Willsky, and H. S. Nawab, Signals and Systems, 2nd edition. Pearson, 2015.