Module « scipy.signal »

Fonction impulse - module scipy.signal

Signature de la fonction impulse

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

Description

impulse.__doc__

Impulse 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.  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).

    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]``).

    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)