SEC.Models.Simple

SEC.Models.Simple#

SEC/Models/Simple.py

gaussian(x, A, mu, sigma)#

The Gaussian function.

Parameters:

  • x (float or array-like) – The input value(s).

  • A (float) – The amplitude of the Gaussian.

  • mu (float) – The mean of the Gaussian.

  • sigma (float) – The standard deviation of the Gaussian.

Returns:

The computed Gaussian value(s).

Return type:

float or array-like

egh(x, H, tR, sigma, tau)#

The exponential-Gaussian hybrid (EGH) function.

See also: Exponential-Gaussian Hybrid.

Parameters:

  • x (float or array-like) – The input value(s).

  • H (float) – The height parameter.

  • tR (float) – The retention time parameter.

  • sigma (float) – The standard deviation of the Gaussian component.

  • tau (float) – The decay constant of the exponential component.

Returns:

The computed EGH value(s).

Return type:

float or array-like

e0 = poly1d([  0.827797,  -4.173753,   9.123978, -11.34291 ,   9.232834,         -6.293724,   4.      ])#

e0(th) = a0 + a1*th + a2*th**2 + … + am*th**m

egh_var(sigma, tau)#

Returns the variance of the EGH distribution.

Parameters:

  • sigma (float) – The standard deviation of the Gaussian component.

  • tau (float) – The decay constant of the exponential component.

Returns:

The variance of the EGH distribution.

Return type:

float

egh_std(sigma, tau)#

Returns the standard deviation for the EGH distribution.

Parameters:

  • sigma (float) – The standard deviation of the Gaussian component.

  • tau (float) – The decay constant of the exponential component.

Returns:

The standard deviation for the EGH distribution.

Return type:

float

egh_pdf(x, tR=0, sigma=1.0, tau=0.0, scale=1)#

The probability density function (PDF) of the EGH distribution.

Parameters:

  • x (float or array-like) – The input value(s).

  • tR (float, optional) – The retention time parameter, by default 0.

  • sigma (float, optional) – The standard deviation of the Gaussian component, by default 1.0.

  • tau (float, optional) – The decay constant of the exponential component, by default 0.0.

  • scale (float, optional) – The scaling factor, by default 1.

Returns:

The computed PDF value(s).

Return type:

float or array-like

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