`scipy.signal._ltisys:step`

source: /scipy/signal/_ltisys.py :2081

Signature

def step ( system , X0 = None , T = None , N = None )

Summary

Step response of continuous-time system.

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 (default is zero).

T : array_like, optional

Time points (computed if not given).

N : int, optional

Number of time points to compute if T is not given.

Returns

T : 1D ndarray: Output time points.
yout : 1D ndarray: Step response of system.

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]).

Array API Standard Support

step has experimental support for Python Array API Standard compatible backends in addition to NumPy. Please consider testing these features by setting an environment variable SCIPY_ARRAY_API=1 and providing CuPy, PyTorch, JAX, or Dask arrays as array arguments. The following combinations of backend and device (or other capability) are supported.

====================  ====================  ====================
Library               CPU                   GPU
====================  ====================  ====================
NumPy                 ✅                     n/a                 
CuPy                  n/a                   ⛔                   
PyTorch               ⛔                     ⛔                   
JAX                   ⛔                     ⛔                   
Dask                  ⛔                     n/a                 
====================  ====================  ====================

See dev-arrayapi for more information.

Examples

from scipy import signal
import matplotlib.pyplot as plt
lti = signal.lti([1.0], [1.0, 1.0])
t, y = signal.step(lti)

✓

plt.plot(t, y)
plt.xlabel('Time [s]')
plt.ylabel('Amplitude')
plt.title('Step response for 1. Order Lowpass')

✗

plt.grid()

✓

Aliases

scipy.signal.step