ee348: signals and systems
Course Title: Signals and Systems
Textbook:
Signals and Systems, Oppenheim and Wilsky, 2nd Edition, Prentice Hall.
Catalog
Description:
Modeling of continuous-time and
discrete-time signals; classification of systems, analysis
of linear time-invariant systems, Fourier analysis and
frequency response; sampling and filtering, Z transform.
Course
Outline:
•
Introduction to signals and systems:
A.
Continuous-time
and discrete-time signals, Energy signal, Power signal,
Classifications of Signals, Signal operations, Standard
signal models (unit step function, impulse function,
exponential functions), Sampling theory, Even and odd
signals.
B.
Systems:
Classification of systems, Continuous-time and discrete-time
systems, Analog and digital systems, Linear and nonlinear
systems, Time-varying and time-invariant systems, Causal and
non-causal systems, Invertible and non-invertible systems,
Stable and unstable systems.
•
Linear Time-invariant Systems:
Convolution
integral,
Convolution sum, Impulse response, properties of linear
time-invariant systems.
•
Fourier Series Representation of Periodic Signals
Fourier
series
of continuous-time periodic signals, properties of
continuous-time period signals, Fourier series of
discrete-time periodic signals, properties of discrete-time
period signals, Fourier series and LTI systems
•
Continuous-time Fourier Transform
Discrete-time
Fourier
Transform for aperiodic signals, Discrete -time Fourier
Transform for periodic signals, properties of Discrete -time
Fourier Transform, Convolution property
•
Discrete-time Fourier Transform
Continuous-time
Fourier
Transform for aperiodic signals, continuous-time Fourier
Transform for periodic signals, properties of
Continuous-time Fourier Transform, Convolution property
•
Sampling
Impulse-train
sampling,
aliasing, sampling of discrete-time signals
•
Z Transform
Z-transform,
Properties
of Z-transform, Inverse Z-transform, Unit Impulse response
in z-domain, convergence analysis.