Signals And Systems. Representation of SignalsContinuous and discrete time signals: 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 - transformation in independent variable of signals: 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. Analysis of Continuous Time Signals and SystemsContinuous time Fourier transform and Laplace transform analysis with examples - properties of the continuous time Fourier transform and Laplace transform basic properties, Parseval s relation, and 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 Laplace transform: Computation of impulse response and transfer function using Laplace transform.
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Signals & Systems