Consider a real-valued signal x(t) with Laplace transform X(s). (a) By applying comple...

Consider a real-valued signal x(t) with Laplace transform X(s).

(a) By applying complex conjugation to both sides of eq. (9.56), show that X(s) =, .

(b) From your result in (a), show that if X(s) has a pole (zero) at , it must also have a pole (zero) at ; i.e., for x(t) real, the poles and zeros of X(s) that are not on the real axis must occur in complex conjugate pairs.