||Signals and Systems
||EE 152 - Basic Electric Circuits
||A. Papoulis, Circuits and Systems, Modern Approach, HRW, 1980R.F. Ziemer, W.H. Tranter and D.R. Fannin, Signals and Systems - Continuous and Discrete, 4th Edn. Prentice Hall, 1998.A.V. Oppenheim, A.S. Willsky and I.T. Young, Signals and Systems, Prentice Hall, 1983.
||Elements of signal space theory: Different types of signals; Linearity, time invariance and causality; Impulse sequence, impulse functions and other singularity functions. Convolution: Convolution sum, convolution integral and their evaluation; Time-domain representation and analysis of LTI systems based on convolution and differential equations. Multi input-multi output discrete and continuous systems: state model representation, solution of state equations, state transition matrix. Transform domain considerations: Laplace transforms and Z-transforms; Applications of transforms to discrete and continuous systems-analysis; Transfer function, block diagram representation, DFT. Fourier Series and Fourier Transform, Sampling theorem, Discrete Fourier transform (DFT), estimating Fourier transform using DFT. Introduction to Wavelets.