Question

Express the following continuous-time signals.
i) x(t)=u(t+3)−2u(t−1)+u(t−3)

Answer 1

The given continuous-time signal x(t)=u(t+3)−2u(t−1)+u(t−3) can be expressed as a time-delayed step function with amplitude changes at different time intervals.

Step-by-step explanation:

Given the continuous-time signal represented by x(t)=u(t+3)−2u(t−1)+u(t−3), where u(t) is the Heaviside step function, we can express it as follows:

x(t)=1 for t>= -3 and t<= 1

x(t)=0 for -3<t<-1

x(t)=-1 for -1<=t<3

x(t)=0 for t>3

So, the signal x(t) is a time-delayed step function with amplitude changes at different time intervals.