Problem

(a) For the full-wave rectified signal in Table, prove that for y(t) = x(– t), the Fourier...

(a) For the full-wave rectified signal in Table, prove that for y(t) = x(– t), the Fourier coefficients are unaffected.
(b) For the full-wave rectified signal in Table, find the Fourier coefficients for y(t) = x(t – T0/2).

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