Problem

Consider the system of Figure, with(a) The sawtooth wave of Table is applied to this syste...

Consider the system of Figure, with

(a) The sawtooth wave of Table is applied to this system, with T0 = 2 s. Find the ratio of the amplitude of the first harmonic in the output signal to the amplitude of the first harmonic in the input without solving for the amplitude of the first harmonic in the output.
(b) Without solving for the first and second harmonics in the output signal, find the ratio of the amplitudes of the first and second harmonics.
(c) Verify the results using MATLAB.
(d) Repeat Parts (a), (b), and (c) with T0 = 0.2 s.
(e) Repeat Parts (a), (b), and (c) with T0 = 20 s.
(f) Comment on the differences in the results of Parts (a), (b), and (c) and corresponding parts of (d), and (e).

TABLE Fourier Series for Common Signals

Name	Waveform	C0	Ck, k ≠ 0	Comments
1. Square wave		0		Ck = 0, k even
2. Sawtooth
3. Triangular wave				Ck = 0, k even
4. Full-wave rectified
5. Half-wave rectified				Ck = 0, k odd, except
6. Rectangular wave
7. Impulse train