[SOLVED] SignalMatlab

Consider the real signal below, periodic with period T = 2π:

(a) What is wo for this signal?

(b) Sketch the signal for -3π<t<6π in MATLAB.

(c) Find the complex Fourier coefficients c and Fourier series of f(t). Please show all steps and working out by hand.

(d) Find the real Fourier coefficients a,, and b, by hand.

(e) Compute the exact value of the average energy of f(t) over a single period.

(f) Use Parseval’s identity and MATLAB to determine the number of terms, N, in the infinite complex Fourier Series to approximate the signal so that the approximation retains at least 99% of the (average) energy of the signal f(t).

(g) Use MATLAB to plot both the approximation from part (f) and the signal f(t) on the same graph for -2π <t< 2π. For full marks, include a legend to the plot.