EE 220	Signal and Systems	3-1-0-8
Syllabus: Signals: classification of signals; signal operations: scaling, shifting and inversion; signal properties: symmetry, periodicity and absolute integrability; elementary signals. Systems: classification of systems; system properties: linearity, time/shift-invariance, causality, stability; continuous-time linear time invariant (LTI) and discrete-time linear shift invariant (LSI) systems: impulse response and step response; response to an arbitrary input: convolution; system representation using differential and difference equations; Eigen functions of LTI/ LSI systems, frequency response and its relation to the impulse response. Signal representation: signal space and orthogonal bases; Fourier series representation of continuous-time and discrete-time signals; continuous-time Fourier transform and its properties; Parseval's relation, time-bandwidth product; discrete-time Fourier transform and its properties; relations among various Fourier representations. Laplace transform: ROC, bilateral, unilateral. Sampling: sampling theorem; aliasing; signal reconstruction: ideal interpolator, zero-order hold, first-order hold; discrete Fourier transform and its properties. Time and frequency characterization of signals: linear and nonlinear phase, group delay, bode plot. Texts [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. References [1] B. P. Lathi, Signal Processing and Linear Systems. Oxford University Press, 2006. [2] R. F. Ziemer, W. H. Tranter, and D. R. Fannin, Signals and Systems - Continuous and Discrete, 4th edition. Pearson, 2014. [3] S. Haykin and B. V. Veen, Signals and Systems. Wiley, 2007.