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impulse(system, X0=None, T=None, N=None)

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 + 5 would be represented as [1, 3, 5] ).

Parameters

system : an 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)

X0 : array_like, optional

Initial state-vector. Defaults to zero.

T : array_like, optional

Time points. Computed if not given.

N : int, optional

The number of time points to compute (if T is not given).

Returns

T : ndarray

A 1-D array of time points.

yout : ndarray

A 1-D array containing the impulse response of the system (except for singularities at zero).

Impulse response of continuous-time system.

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)
See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

scipy.signal._ltisys.impulse scipy.signal._ltisys.dimpulse scipy.signal._ltisys._default_response_times scipy.signal._ltisys.lti.impulse scipy.signal._ltisys.impulse2

Local connectivity graph

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Using a canvas is more power efficient and can get hundred of nodes ; but does not allow hyperlinks; , arrows or text (beyond on hover)

SVG is more flexible but power hungry; and does not scale well to 50 + nodes.

All aboves nodes referred to, (or are referred from) current nodes; Edges from Self to other have been omitted (or all nodes would be connected to the central node "self" which is not useful). Nodes are colored by the library they belong to, and scaled with the number of references pointing them


GitHub : /scipy/signal/_ltisys.py#2203
type: <class 'function'>
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