scipy.signal.dimpulse

scipy.signal.dimpulse(system, x0=None, t=None, n=None)

Impulse response of discrete-time system.

Parameters

systemtuple of array_like or instance of dlti

A tuple describing the system. The following gives the number of elements in the tuple and the interpretation:

• 1: (instance of dlti)

• 3: (num, den, dt)

• 4: (zeros, poles, gain, dt)

• 5: (A, B, C, D, dt)

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

toutndarray

Time values for the output, as a 1-D array.

youttuple of ndarray

Impulse response of system. Each element of the tuple represents the output of the system based on an impulse in each input.

See also

impulse, dstep, dlsim, cont2discrete

Examples

>>> from scipy import signal
>>> import matplotlib.pyplot as plt

>>> butter = signal.dlti(*signal.butter(3, 0.5))
>>> t, y = signal.dimpulse(butter, n=25)
>>> plt.step(t, np.squeeze(y))
>>> plt.grid()
>>> plt.xlabel('n [samples]')
>>> plt.ylabel('Amplitude')