Q. write function f(t) of signal whose graph is given below ?
Above given signal is represented in the form of steps signal
So we can write graph function as
f(t) = (3-0) u(t-(-3)) + (-2-3)u(t-0) +(6-(-2))u(t-2) + (0-6)u(t-4)
f(t) = 3u(t-3) -5u(t) + 8u(t-2) -6u(t-4)
NOTE: Amplitude of step at any time t= T will be
= value of amplitude of next step – value of amplitude of previous step
Amplitude at ( t=-3) = (3)-(0) = 3
Amplitude at ( t=0) =(-2)-(3) = -5
Amplitude at (t =2) = (6)-(-2) = 8
Amplitude at( t=4) = (0)- (6) =-6
