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EESS 321 Signals & Systems 4(3+3)
Linear Time Invariant Systems
Dr. Hameedullah Kazi
Department of Electrical Engineering
Isra University, Hyderabad
January 2015
Linear Time-Invariant Systems
The Convolution Sum
The Convolution Integral
Properties of LTI Systems
◦ Commutative
◦ Distributive
◦ Associative
◦ Memory
◦ Invertibility
◦ Causality
◦ Stability
◦ Unit Step Response
Convolution Example 1
Convolution Example 2
Convolution Examples 2
Convolution Examples 2
Convolution Example 3
Convolution Graphical Example 3
Convolution Graphical Example 3
Convolution Graphical Example 3
Convolution Example 3
Convolution Example 4
Convolution Example 4
Commutative
1
1
( )* ( ) ( )
[ ]* [ ] [ ]
h t h t t
h n h n n
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