Suppose that a signal x(t) has Fourier transform X(jω). Now consider another signal g(t)...

Suppose that a signal x(t) has Fourier transform X(jω). Now consider another signal g(t) whose shape is the same as the shape of X(jω); that is,

g(t) = X(jt).

(a) Show that the Fourier transform G(jω) of g(t) has the same shape as ; that is, show that

(h) Using the fact that

in conjunction with the result from part (a), show that