How do I compute impulse response?

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How can I calculate the impulse response for the following equation:
y[n]=-5*X[n]+2*X[n-1]-5*X[n-2]+2*X[n-3]
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Arundhathi
Arundhathi 2024-11-5,1:16

import numpy as np import matplotlib.pyplot as plt

  1. Define the system equation y[n] = -5*X[n] + 2*X[n-1] - 5*X[n-2] + 2*X[n-3]
  1. Define the length of the signal (let's take a range from n=0 to n=10) n = np.arange(0, 11)
  1. Create the impulse response using numpy's delta function delta = np.zeros_like(n, dtype=float) delta[n == 0] = 1 # Impulse signal at n=0
  1. Initialize the output y[n] for the impulse response h = np.zeros_like(n, dtype=float)
  1. Compute the impulse response for i in range(len(n)): h[i] = -5 * delta[i] + 2 * delta[i-1] - 5 * delta[i-2] + 2 * delta[i-3]
  1. Print the impulse response print("Impulse Response h[n]:") for i in range(len(n)): print(f"h[{n[i]}] = {h[i]}")
  1. Plot the impulse response plt.stem(n, h, use_line_collection=True) plt.title('Impulse Response h[n]') plt.xlabel('n') plt.ylabel('h[n]') plt.grid(True) plt.show()

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采纳的回答

Andrei Bobrov
Andrei Bobrov 2016-1-9
编辑:MathWorks Support Team 2019-5-22
You can use the filter function with the coefficients as an input argument.

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