4. (20 points) Consider the periodic signal x(n) = {1″, 0, 0, 1}, where x(n) is periodic in n with period N = 4. (a) Find the Fourier series representation of x(n) (b) Let Px denote the average power of x(n). Find Px. (c) plot the magnitude |ck| and the phase ✓k of the Fourier coefficient versus k. (d) Is the sequence of the Fourier coefficients {ck} periodic in k? if yes, what is the period of this sequence?

image 27 - 4. (20 points) Consider the periodic signal x(n) = {1", 0, 0, 1}, where x(n) is periodic in n with period N = 4. (a) Find the Fourier series representation of x(n) (b) Let Px denote the average power of x(n). Find Px. (c) plot the magnitude |ck| and the phase ✓k of the Fourier coefficient versus k. (d) Is the sequence of the Fourier coefficients {ck} periodic in k? if yes, what is the period of this sequence?
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sign up for premium and access unlimited solutions for a month at just 5$(not renewed automatically) images - 4. (20 points) Consider the periodic signal x(n) = {1", 0, 0, 1}, where x(n) is periodic in n with period N = 4. (a) Find the Fourier series representation of x(n) (b) Let Px denote the average power of x(n). Find Px. (c) plot the magnitude |ck| and the phase ✓k of the Fourier coefficient versus k. (d) Is the sequence of the Fourier coefficients {ck} periodic in k? if yes, what is the period of this sequence? already a member please login