Classe « Axes »
Signature de la méthode psd
def psd(self, x, NFFT=None, Fs=None, Fc=None, detrend=None, window=None, noverlap=None, pad_to=None, sides=None, scale_by_freq=None, return_line=None, *, data=None, **kwargs)
Description
psd.__doc__
Plot the power spectral density.
The power spectral density :math:`P_{xx}` by Welch's average
periodogram method. The vector *x* is divided into *NFFT* length
segments. Each segment is detrended by function *detrend* and
windowed by function *window*. *noverlap* gives the length of
the overlap between segments. The :math:`|\mathrm{fft}(i)|^2`
of each segment :math:`i` are averaged to compute :math:`P_{xx}`,
with a scaling to correct for power loss due to windowing.
If len(*x*) < *NFFT*, it will be zero padded to *NFFT*.
Parameters
----------
x : 1-D array or sequence
Array or sequence containing the data
Fs : float, default: 2
The sampling frequency (samples per time unit). It is used to calculate
the Fourier frequencies, *freqs*, in cycles per time unit.
window : callable or ndarray, default: `.window_hanning`
A function or a vector of length *NFFT*. To create window vectors see
`.window_hanning`, `.window_none`, `numpy.blackman`, `numpy.hamming`,
`numpy.bartlett`, `scipy.signal`, `scipy.signal.get_window`, etc. If a
function is passed as the argument, it must take a data segment as an
argument and return the windowed version of the segment.
sides : {'default', 'onesided', 'twosided'}, optional
Which sides of the spectrum to return. 'default' is one-sided for real
data and two-sided for complex data. 'onesided' forces the return of a
one-sided spectrum, while 'twosided' forces two-sided.
pad_to : int, optional
The number of points to which the data segment is padded when performing
the FFT. This can be different from *NFFT*, which specifies the number
of data points used. While not increasing the actual resolution of the
spectrum (the minimum distance between resolvable peaks), this can give
more points in the plot, allowing for more detail. This corresponds to
the *n* parameter in the call to fft(). The default is None, which sets
*pad_to* equal to *NFFT*
NFFT : int, default: 256
The number of data points used in each block for the FFT. A power 2 is
most efficient. This should *NOT* be used to get zero padding, or the
scaling of the result will be incorrect; use *pad_to* for this instead.
detrend : {'none', 'mean', 'linear'} or callable, default: 'none'
The function applied to each segment before fft-ing, designed to remove
the mean or linear trend. Unlike in MATLAB, where the *detrend* parameter
is a vector, in Matplotlib is it a function. The :mod:`~matplotlib.mlab`
module defines `.detrend_none`, `.detrend_mean`, and `.detrend_linear`,
but you can use a custom function as well. You can also use a string to
choose one of the functions: 'none' calls `.detrend_none`. 'mean' calls
`.detrend_mean`. 'linear' calls `.detrend_linear`.
scale_by_freq : bool, default: True
Whether the resulting density values should be scaled by the scaling
frequency, which gives density in units of Hz^-1. This allows for
integration over the returned frequency values. The default is True for
MATLAB compatibility.
noverlap : int, default: 0 (no overlap)
The number of points of overlap between segments.
Fc : int, default: 0
The center frequency of *x*, which offsets the x extents of the
plot to reflect the frequency range used when a signal is acquired
and then filtered and downsampled to baseband.
return_line : bool, default: False
Whether to include the line object plotted in the returned values.
Returns
-------
Pxx : 1-D array
The values for the power spectrum :math:`P_{xx}` before scaling
(real valued).
freqs : 1-D array
The frequencies corresponding to the elements in *Pxx*.
line : `~matplotlib.lines.Line2D`
The line created by this function.
Only returned if *return_line* is True.
Other Parameters
----------------
**kwargs
Keyword arguments control the `.Line2D` properties:
Properties:
agg_filter: a filter function, which takes a (m, n, 3) float array and a dpi value, and returns a (m, n, 3) array
alpha: scalar or None
animated: bool
antialiased or aa: bool
clip_box: `.Bbox`
clip_on: bool
clip_path: Patch or (Path, Transform) or None
color or c: color
contains: unknown
dash_capstyle: `.CapStyle` or {'butt', 'projecting', 'round'}
dash_joinstyle: `.JoinStyle` or {'miter', 'round', 'bevel'}
dashes: sequence of floats (on/off ink in points) or (None, None)
data: (2, N) array or two 1D arrays
drawstyle or ds: {'default', 'steps', 'steps-pre', 'steps-mid', 'steps-post'}, default: 'default'
figure: `.Figure`
fillstyle: {'full', 'left', 'right', 'bottom', 'top', 'none'}
gid: str
in_layout: bool
label: object
linestyle or ls: {'-', '--', '-.', ':', '', (offset, on-off-seq), ...}
linewidth or lw: float
marker: marker style string, `~.path.Path` or `~.markers.MarkerStyle`
markeredgecolor or mec: color
markeredgewidth or mew: float
markerfacecolor or mfc: color
markerfacecoloralt or mfcalt: color
markersize or ms: float
markevery: None or int or (int, int) or slice or list[int] or float or (float, float) or list[bool]
path_effects: `.AbstractPathEffect`
picker: float or callable[[Artist, Event], tuple[bool, dict]]
pickradius: float
rasterized: bool
sketch_params: (scale: float, length: float, randomness: float)
snap: bool or None
solid_capstyle: `.CapStyle` or {'butt', 'projecting', 'round'}
solid_joinstyle: `.JoinStyle` or {'miter', 'round', 'bevel'}
transform: `matplotlib.transforms.Transform`
url: str
visible: bool
xdata: 1D array
ydata: 1D array
zorder: float
See Also
--------
specgram
Differs in the default overlap; in not returning the mean of the
segment periodograms; in returning the times of the segments; and
in plotting a colormap instead of a line.
magnitude_spectrum
Plots the magnitude spectrum.
csd
Plots the spectral density between two signals.
Notes
-----
For plotting, the power is plotted as
:math:`10\log_{10}(P_{xx})` for decibels, though *Pxx* itself
is returned.
References
----------
Bendat & Piersol -- Random Data: Analysis and Measurement Procedures,
John Wiley & Sons (1986)
.. note::
In addition to the above described arguments, this function can take
a *data* keyword argument. If such a *data* argument is given,
the following arguments can also be string ``s``, which is
interpreted as ``data[s]`` (unless this raises an exception):
*x*.
Objects passed as **data** must support item access (``data[s]``) and
membership test (``s in data``).
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