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Plot the power spectral density.
The power spectral density (P_{xx}) by Welch's averageperiodogram method. The vector x is divided into NFFT lengthsegments. Each segment is detrended by function detrend andwindowed by function window. noverlap gives the length ofthe overlap between segments. The (|mathrm{fft}(i)|^2)of each segment (i) are averaged to compute (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:scalar
The sampling frequency (samples per time unit). It is usedto calculate the Fourier frequencies, freqs, in cycles per timeunit. The default value is 2. - window:callable or ndarray
A function or a vector of length NFFT. To create window vectors seewindow_hanning, window_none, numpy.blackman, numpy.hamming,numpy.bartlett, scipy.signal, scipy.signal.get_window, etc. Thedefault is window_hanning. If a function is passed as the argument,it must take a data segment as an argument and return the windowedversion of the segment. - sides:{'default', 'onesided', 'twosided'}
Specifies which sides of the spectrum to return. Default gives thedefault behavior, which returns one-sided for real data and bothfor complex data. 'onesided' forces the return of a one-sidedspectrum, while 'twosided' forces two-sided. - pad_to:int
The number of points to which the data segment is padded whenperforming the FFT. This can be different from NFFT, whichspecifies the number of data points used. While not increasingthe actual resolution of the spectrum (the minimum distance betweenresolvable peaks), this can give more points in the plot,allowing for more detail. This corresponds to the n parameterin the call to fft(). The default is None, which sets pad_toequal to NFFT - NFFT:int
The number of data points used in each block for the FFT.A power 2 is most efficient. The default value is 256.This should NOT be used to get zero padding, or the scaling of theresult 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 toremove the mean or linear trend. Unlike in MATLAB, where thedetrend parameter is a vector, in Matplotlib is it a function.The mlab module defines detrend_none,detrend_mean, and detrend_linear, but you can use a customfunction as well. You can also use a string to choose one of thefunctions: 'none' calls detrend_none. 'mean' calls detrend_mean.'linear' calls detrend_linear. - scale_by_freq:bool, optional
Specifies whether the resulting density values should be scaledby 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
The number of points of overlap between segments.The default value is 0 (no overlap). - Fc:int
The center frequency of x (defaults to 0), which offsetsthe x extents of the plot to reflect the frequency range usedwhen a signal is acquired and then filtered and downsampled tobaseband. - return_line:bool
Whether to include the line object plotted in the returned values.Default is False.
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| Returns: | - Pxx:1-D array
The values for the power spectrum P_{xx} before scaling(real valued). - freqs:1-D array
The frequencies corresponding to the elements in Pxx. - line:a
Line2D instance The line created by this function.Only returned if return_line is True.
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| Other Parameters: | - **kwargs
Keyword arguments control the Line2Dproperties: | Property | Description |
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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 | float | animated | bool | antialiased or aa | bool | clip_box | Bbox | clip_on | bool | clip_path | [(Path, Transform) | Patch | None] | color or c | color | contains | callable | dash_capstyle | {'butt', 'round', 'projecting'} | dash_joinstyle | {'miter', 'round', 'bevel'} | dashes | sequence of floats (on/off ink in points) or (None, None) | 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 | 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) | path_effects | AbstractPathEffect | picker | float or callable[[Artist, Event], Tuple[bool, dict]] | pickradius | float | rasterized | bool or None | sketch_params | (scale: float, length: float, randomness: float) | snap | bool or None | solid_capstyle | {'butt', 'round', 'projecting'} | solid_joinstyle | {'miter', 'round', 'bevel'} | transform | matplotlib.transforms.Transform | url | str | visible | bool | xdata | 1D array | ydata | 1D array | zorder | float |
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See also
specgram()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()magnitude_spectrum() plots the magnitude spectrum.csd()csd() plots the spectral density between two signals.
Notes
For plotting, the power is plotted as(10log_{10}(P_{xx})) for decibels, though Pxx itselfis returned.
References
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Bendat & Piersol -- Random Data: Analysis and Measurement Procedures,John Wiley & Sons (1986)
Note
In addition to the above described arguments, this function can take adata keyword argument. If such a data argument is given, thefollowing arguments are replaced by data[<arg>]:
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- All arguments with the following names: 'x'.
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Objects passed as data must support item access (data[<arg>]) andmembership test (<arg>indata).