Module « scipy.signal »

Fonction impulse2 - module scipy.signal

Signature de la fonction impulse2

def impulse2(system, X0=None, T=None, N=None, **kwargs) 

Description

impulse2.__doc__

    Impulse response of a single-input, continuous-time linear 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 : 1-D array_like, optional
        The initial condition of the state vector.  Default: 0 (the
        zero vector).
    T : 1-D array_like, optional
        The time steps at which the input is defined and at which the
        output is desired.  If `T` is not given, the function will
        generate a set of time samples automatically.
    N : int, optional
        Number of time points to compute.  Default: 100.
    kwargs : various types
        Additional keyword arguments are passed on to the function
        `scipy.signal.lsim2`, which in turn passes them on to
        `scipy.integrate.odeint`; see the latter's documentation for
        information about these arguments.

    Returns
    -------
    T : ndarray
        The time values for the output.
    yout : ndarray
        The output response of the system.

    See Also
    --------
    impulse, lsim2, scipy.integrate.odeint

    Notes
    -----
    The solution is generated by calling `scipy.signal.lsim2`, which uses
    the differential equation solver `scipy.integrate.odeint`.

    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]``).

    .. versionadded:: 0.8.0

    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.impulse2(system)
    >>> import matplotlib.pyplot as plt
    >>> plt.plot(t, y)