Signals & Systems
ECC-205
Classification of Signals, Periodic aperiodic even – odd, energy and power signals, Deterministic and random signals, complex exponential and sinusoidal signals, periodicity, properties of discrete time complex exponential unit impulse, unit step impulse functions, time scaling, time shifting, Determination of Fourier series representation of continuous time and discrete time periodic signals, Explanation of properties of continuous time and discrete time Fourier series, Representation of continuous time signals by its sample, Sampling theorem, Reconstruction of a Signal from its samples, aliasing, discrete time processing of continuous time signals, sampling of band pass signals.
Continuous time Fourier Transform and Laplace Transform analysis with examples, properties of the Continuous-time Fourier Transform and Laplace Transform basic properties, Parseval’s relation, convolution in time and frequency domains, Basic properties of continuous time systems: Linearity, Causality, time invariance, stability, magnitude and Phase representations of frequency response of LTI systems, Analysis and characterization of LTI systems using Differential Equations and Continuous time LTI systems, Laplace transform: Computation of impulse response and transfer function using Laplace transform.
Discrete time system analysis using Difference equations, Discrete Time Fourier Transform, Discrete Fourier Transform, FFT and their property and usage in the analysis of Discrete time systems.
Basic principles of z-transform, z-transform definition, region of convergence, properties of ROC, Properties of z-transform, Poles and Zeros, inverse z-transform using Contour integration, Residue Theorem, Power Series expansion and Partial fraction expansion, Relationship between z-transform and Fourier transform, Properties of convolution and the interconnection of LTI Systems, Causality and stability of LTI Systems, Computation of Impulse & response & Transfer function using Z Transform.