Definitions of a signal and a system, classification of signals, basic Operations on signals, elementary signals, Systems viewed as Interconnections of operations, properties of systems.
Convolution, impulse response representation, Convolution Sum and Convolution Integral.
Properties of impulse response representation, Differential and difference equation Representations, Block diagram representations.
Introduction, Discrete time and continuous time Fourier series (derivation of series excluded) and their properties .
Discrete and continuous Fourier transforms(derivations of transforms are excluded) and their properties.
Introduction, Frequency response of LTI systems, Fourier transform representation of periodic signals, Fourier transform representation of discrete time signals. Sampling theorm and Nyquist rate.
Introduction, Z – transform, properties of ROC,properties of Z – transforms, inversion of Z – transforms.
Transform analysis of LTI Systems, unilateral Z-Transform and its application to solve difference equations.