There are three types of filter responses: impulse response, step response, and frequency response. Suppose I want to know how the filter reacts to a sudden change in the input, state which type of filter response I should compute? Then, plot the corresponding filter response (first 100 samples) for the two filters separately.
时间: 2023-12-14 15:39:38 浏览: 28
If you want to know how the filter reacts to a sudden change in the input, you should compute the step response.
Assuming you have the impulse response and frequency response of the two filters, here is how you can compute and plot their step responses:
1. Compute the step response of each filter by taking the cumulative sum of the impulse response:
For filter 1: `step_response_1 = np.cumsum(impulse_response_1)`
For filter 2: `step_response_2 = np.cumsum(impulse_response_2)`
2. Plot the first 100 samples of each filter's step response:
```
import matplotlib.pyplot as plt
plt.plot(step_response_1[:100], label='Filter 1')
plt.plot(step_response_2[:100], label='Filter 2')
plt.xlabel('Samples')
plt.ylabel('Step Response')
plt.title('Step Response Comparison')
plt.legend()
plt.show()
```
This will generate a plot comparing the step responses of the two filters for the first 100 samples.