(a) Use Table to find the exponential form of the Fourier series of the impulse train in Figure. The magnitude of the weight of each impulse function is unity, with the signs of the weights alternating.
(b) Verify the results of Part (a) by calculating the Fourier coefficients using (4.23).
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 |
|
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