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Signals and Systems


Contents

--------------->>> Signals <<<--------------- Types of signals and transformations of the independent variables Continuous time signals Discrete time signals Periodic signals --------------->>> Linear time-invariant Systems <<<--------------- Systems and properties Impulses and discrete-time LTI systems Convolution sum and properties System of differential and difference equations Block diagram representation and singularity functions --------------->>> Fourier analysis for continuous-time signals <<<--------------- Response of continuous time LTI systems Fourier series, convergence, pairs and periodic signals Fourier Transform, properties and periodic signals (table) Polar representation, frequency response, first and second order systems --------------->>> Fourier analysis for discrete-time signals <<<--------------- Response of discrete time LTI systems Fourier series, pairs, duality and periodic signals Fourier Transform, properties and periodic signals (table) Polar representation, frequency response, first and second order systems --------------->>> Modulation <<<--------------- Continuous time amplitude modulation and applications Single sideband, puls modulation and time-division multiplexing Discrete time amplitude modulation Continuous time frequency modulation --------------->>> Sampling <<<--------------- Sample interpolation of signals and sampling theorem Undersampling & aliasing Discrete-time processing of continuous-time signals Sampling in frequency domain Sampling of discrete time decimation and interpolation --------------->>> z-Transform <<<--------------- z-transform (definition, convergence, inverse, properties, pairs) Geometric evaluation of Fourier transform from pole-zero plot Analysis and characterization of LTI systems z-transformation between discrete and continuous time systems Unilateral z-transform