aCan the anticausal system described by ht 13e2tut be stable

a.Can the anticausal system described by h(t)= (1/3)e^2tu(-t) be stable? Justify by using an argument based on the Region of Convergence

b.Define the conditions under which the final value theorem may NOT be used (i.e. gives invalid results) on the unilateral Laplace transform pair f(t)F(s)

Solution

No

the final value theorem appears to predict the final value of the impulse response to be 0 and the final value of the step response to be 1. However, neither time-domain limit exists, and so the final value theorem predictions are not valid.