- Understanding how transfer function acts on the frequency domain of the fourier series component
- Verify through experiment that we could treat the circuit as a linear system and apply the transfer function to individual fourier harmonics and sum them to get the response.
- Cadence OrCAD
- Breadboard
- Circuit Components from the schematics
- Oscilloscope
- Power Supply
- Signal Generator
Please ignore the n in transfer function magnitude, H. H will always be 1 for this circuit.
To hand-calculate the output of this circuit with a sawtooth input wave, we broke the input wave into a fourier series sum, then multiplied the sum by the magnitude of the transfer function and added the transfer function's phase.
The green wave is the Vout
| Vout | Min (V) | |
|---|---|---|
| Simulation | -0.642 | -3.24 |
| Experiment | -3.59 |
| Vout | Simulation | Experiment | Percent Difference (%) |
|---|---|---|---|
| Max (V) | -0.642 | -0.650 | 1.23 |
| Min (V) | -3.24 | -3.59 | 9.75 |
Fourier Series is a useful tool for us to analyze the output of periodic non-sinusoidal waves because we could decompose them into sinusoidal waves then apply the transfer function.