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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