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signals HW summer 2022

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An Najah University – Faculty of engineering
Electrical Eng. Department
Signals and systems (10641373)
Instructor: Jamal Khrousheh
Date:
HW
weigth 12 marks
Due to:24/7/2022
Question # 1
a) A certain filter has the following transfer function.
( 2marks)
Find the value of frequency at which the magnitude equal (0.5 Hmax)
b) The following circuit represents a filter
1- find he transfer function H(jw)= Vo(jw)/Vs(jw).
2- find the kind of the filter, center frequency, cutoff frequencies and quality factor
R2
(5 marks)
L
+
Vin(t)
Question # 2
+
-
R1
L
Vo(t)
(5 marks)
The following periodic signal Vi (t) applies to system shown, where V1(t) function of one period is given
by V1(t) = 2 sin(2t) in the interval(0 , 0.5π) and zero in the interval (0.5π , π)
Knowing that h1(t) = sign(t) and h2(t) = δ (t – 2)
Find: Vo (t)
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