The output of a continuous-time, linear time-invariant system is denoted by T{x(t)} where x(t) is the input signal. A signal z(t) is called eigen-signal of the system T, when T{z(t)}= yz(t), where $$\gamma$$ is a complex number, in general, and is called an eigen value of T. suppose the impulse response of the system T is real and even. Which of the following statements is TRUE?

A continuous-time LTI system with system function H($$\omega$$) has the following pole-zero plot. For this system, which of the alternatives is TRUE?

Given f(t) and g(t)as shown below: The Laplace transform of g(t) is

Given f(t) and g(t)as shown below: g(t) can be expressed as