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dbode(system, w=None, n=100)

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. z^2 + 3z + 5 would be represented as [1, 3, 5] ).

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Parameters

system : an instance of the LTI class or a tuple describing the system.

The following gives the number of elements in the tuple and the interpretation:

  • 1 (instance of dlti )

  • 2 (num, den, dt)

  • 3 (zeros, poles, gain, dt)

  • 4 (A, B, C, D, dt)

w : array_like, optional

Array of frequencies (in radians/sample). Magnitude and phase data is calculated for every value in this array. If not given a reasonable set will be calculated.

n : int, optional

Number of frequency points to compute if w is not given. The n frequencies are logarithmically spaced in an interval chosen to include the influence of the poles and zeros of the system.

Returns

w : 1D ndarray

Frequency array [rad/time_unit]

mag : 1D ndarray

Magnitude array [dB]

phase : 1D ndarray

Phase array [deg]

Calculate Bode magnitude and phase data of a discrete-time system.

Examples

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

Construct the transfer function $H(z) = \frac{1}{z^2 + 2z + 3}$ with a sampling time of 0.05 seconds:

>>> sys = signal.TransferFunction([1], [1, 2, 3], dt=0.05)

Equivalent: sys.bode()

>>> w, mag, phase = signal.dbode(sys)
>>> plt.figure()
... plt.semilogx(w, mag) # Bode magnitude plot
... plt.figure()
... plt.semilogx(w, phase) # Bode phase plot
... plt.show()
See :

Back References

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

scipy.signal._ltisys.dlti.bode scipy.signal._ltisys.dbode

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GitHub : /scipy/signal/_ltisys.py#3791
type: <class 'function'>
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