elephant.kernels.LaplacianKernel¶
- class elephant.kernels.LaplacianKernel(sigma, invert=False)[source]¶
Class for laplacian kernels.
\[K(t) = \frac{1}{2 \tau} \exp\left(-\left|\frac{t}{\tau}\right|\right)\]with \(\tau = \sigma / \sqrt{2}\).
The parameter invert has no effect on symmetric kernels.
Examples
from elephant import kernels import quantities as pq import numpy as np import matplotlib.pyplot as plt time_array = np.linspace(-3, 3, num=1000) * pq.s kernel = kernels.LaplacianKernel(sigma=1*pq.s) kernel_time = kernel(time_array) plt.plot(time_array, kernel_time) plt.title("LaplacianKernel with sigma=1s") plt.xlabel("time, s") plt.ylabel("kernel, 1/s") plt.show()
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Source code
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)- __init__(sigma, invert=False)¶
Methods
__init__
(sigma[, invert])boundary_enclosing_area_fraction
(fraction)Calculates the boundary \(b\) so that the integral from \(-b\) to \(b\) encloses a certain fraction of the integral over the complete kernel.
cdf
(time)Cumulative Distribution Function, CDF.
icdf
(fraction)Inverse Cumulative Distribution Function, ICDF, also known as a quantile.
is_symmetric
()True for symmetric kernels and False otherwise (asymmetric kernels).
median_index
(times)Estimates the index of the Median of the kernel.
Attributes
min_cutoff
Half width of the kernel.