Lecture 7 EE 221 Signals Analysis and Systems

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Lecture 7: EE 221: Signals Analysis and Systems Instructor: Dr. Ghazi Al Sukkar Dept.

Lecture 7: EE 221: Signals Analysis and Systems Instructor: Dr. Ghazi Al Sukkar Dept. of Electrical Engineering The University of Jordan Email: ghazi. alsukkar@ju. edu. jo Spring 2017 1

LTI systems o Spring 2017 2

LTI systems o Spring 2017 2

Cont. . o Spring 2017 3

Cont. . o Spring 2017 3

Impulse Response of an LTI System: o Excitation Spring 2017 T[. ] Response T[.

Impulse Response of an LTI System: o Excitation Spring 2017 T[. ] Response T[. ] 4

Cont. . o From linearity T[. ] T [ . ] o In general:

Cont. . o From linearity T[. ] T [ . ] o In general: Spring 2017 T[. ] 5

Cont. . o T [. ] Spring 2017 T[. ] 6

Cont. . o T [. ] Spring 2017 T[. ] 6

Cont. . o T [. ] Spring 2017 7

Cont. . o T [. ] Spring 2017 7

Properties of Convolution Integral: o Spring 2017 8

Properties of Convolution Integral: o Spring 2017 8

Cont. . o Spring 2017 9

Cont. . o Spring 2017 9

Cont. . o Spring 2017 10

Cont. . o Spring 2017 10

Cont. . o Spring 2017 11

Cont. . o Spring 2017 11

Cont. . o Spring 2017 12

Cont. . o Spring 2017 12

Cont. . o ∑ Parallel connection Spring 2017 13

Cont. . o ∑ Parallel connection Spring 2017 13

Cont. . o ∑ Spring 2017 14

Cont. . o ∑ Spring 2017 14

Example: ∑ ∑ ∑ Spring 2017 15

Example: ∑ ∑ ∑ Spring 2017 15

Cont. . ∑ Spring 2017 16

Cont. . ∑ Spring 2017 16

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