1. Determine the complex Fourier series coefficients X k for the complex signal x(t) = e j2t +e j3t . What is the fundamental period T0 and fundamental frequency ω 0 of x(t)? 2. The exponential...

1. Determine the complex Fourier series coefficients X_k
for the complex signal x(t) = e^j2t+e^j3t
. What is the fundamental period T0 and fundamental frequency ω₀
of x(t)?

2. The exponential Fourier series of a certain periodic function is given as x(t) = (2 +

(a) Sketch the exponential Fourier spectra.

(b) By inspection of the spectra in part (a), sketch the trigonometric Fourier spectra for x(t) .

(c) Find the compact trigonometric Fourier series from the spectra found in either part (a) or part (b).

(d) Determine the bandwidth of x(t).