impulse#
- scipy.signal.impulse(system, X0=None, T=None, N=None)[source]#
- Impulse response of continuous-time system. - Parameters:
- systeman instance of the LTI class or a tuple of array_like
- describing the system. The following gives the number of elements in the tuple and the interpretation: - 1 (instance of - lti)
- 2 (num, den) 
- 3 (zeros, poles, gain) 
- 4 (A, B, C, D) 
 
- X0array_like, optional
- Initial state-vector. Defaults to zero. 
- Tarray_like, optional
- Time points. Computed if not given. 
- Nint, optional
- The number of time points to compute (if T is not given). 
 
- Returns:
- Tndarray
- A 1-D array of time points. 
- youtndarray
- A 1-D array containing the impulse response of the system (except for singularities at zero). 
 
 - Notes - If (num, den) is passed in for - system, coefficients for both the numerator and denominator should be specified in descending exponent order (e.g.- s^2 + 3s + 5would be represented as- [1, 3, 5]).- Examples - Compute the impulse response of a second order system with a repeated root: - x''(t) + 2*x'(t) + x(t) = u(t)- >>> from scipy import signal >>> system = ([1.0], [1.0, 2.0, 1.0]) >>> t, y = signal.impulse(system) >>> import matplotlib.pyplot as plt >>> plt.plot(t, y) 