15.10 A triangular pulse train f(t) with period T0 = 10 μs, peak-to-peak amplitude A = 2V, is shown in Figure P15.10.
Triangular Pulse Train
1
2
-1.5
-1
-0.5
0 t
0.5
1
1.5
2
Figure P15.10
(a) Find the fundamental frequency ω0 in rad/s and f0 in Hz.
(b) Find the trigonometric Fourier coefficients a0, an, bn.
(c) Find the trigonometric Fourier coefficients cn, On.
(d) Plot cn, On as a function of frequency.
(e) Find the complex exponential Fourier coefficients Fn.
(f) Plot the magnitude |Fn| and phase ΦFn as a function of frequency.
(g) Find the approximation f(t) consisting of the DC component and up to the fifth harmonic and plot the approximation f(t).