Consider the signal
(a) Using Euler's relation, the signal x(t) defined above can be expressed as a sum of complex exponential signals using the finite Fourier synthesis summation (3.30)
Determine values for , N and all the complex amplitudes, . It is not necessary to evaluate any integrals to obtain at.
(b) Is the signal x(t) periodic? If so, what is the fundamental period?
(c) Plot the spectrum of this signal versus f in Hz.