Page 8 - EC8352 -SS-NOTES-by Prof.Bokhari ECE/MAMCET

SUBJECT: EC8352- Signals and Systems
AUTHOR: M.SHAKUNTHALA, A.P/ECE/RMDEC
Dr.M.N.VIMAL KUMAR, AP/ECE/RMDEC

p(t)
:
4.5
2
= ≥ 0 2
2
= 0 < 0 0.5
0 1 2 3 . . . t
Unit Parabolic signal

Relation between Unit Step signal, Unit ramp signal and Unit Parabolic signal:

 Unit ramp signal is obtained by integrating unit step signal

. . , = 1 = = ( )
 Unti Parabolic signal is obtained by integrating unit ramp signal
2
. . , = = = ( )
2

 Unit step signal is obtained by differentiating unit ramp signal

. . , = = 1 = ( )

 Unit ramp signal is obtained by differentiating unit Parabolic signal
2 1
. . , = = 2 = = ( )
2 2

1.3.4 Unit Pulse signal is defined as
∏ (t)

1 1
∏ = 1 ≤
2
= 0

-1/2 1/2 t

Unit Pulse signal

1.3.5 Impulse signal
Unit Impulse signal is defined as

= 0 ≠ 0
∞
= 1
−∞
Unit Impulse signal

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