Problem

Find the combined trigonometric form of the Fourier series for the following signals in Ta...

Find the combined trigonometric form of the Fourier series for the following signals in Table:

(a) Square wave
(b) Sawtooth wave
(c) Triangular wave
(d) Rectangular wave
(e) Full-wave rectified wave
(f) Half-wave rectified wave
(g) Impulse train

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