Time-Domain Analysis of
Di
t
Ti
S
t
Discrete-Time Systems
• Vision
• Digitized
signals
• Numerical
(computer)
TD analysis of DT systems
3-1
modeling

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Objectives
•
Determine the characteristic equation, characteristic roots,
and characteristic modes of a linear constant coefficient
difference equation
•
Calculate the impulse response for a linear constant
coefficient difference equation
•
Calculate the zero-input and zero-state response of a linear
constant coefficient difference equation
C l
l t
d
l t th
l ti
b t
t
f
ti
i
•
Calculate and plot the convolution between two functions in
discrete time
•
Use the fact that exponentials are eigenfuctions of linear
Use the fact that exponentials are eigenfuctions of linear
time invariant systems to simplify convolution
•
Be able to intuitively explain system behavior in terms of the
h
t
i ti
d
d ti
t
t
TD analysis of DT systems
3-2
characteristic modes and time constants