deriv_exp_sum_conv_gau

TRXASprefitpack.mathfun.deriv_exp_sum_conv_gau(t: ndarray, fwhm: float, k: ndarray, c: ndarray, base: Optional[bool] = True) → ndarray

Compute derivative of sum of exponential function convolved with normalized gaussian distribution

Parameters

• t – time

• fwhm – full width at half maximum of gaussian distribution

• k – rate constant (inverse of life time)

• c – coefficient

• base – include baseline (i.e. k=0)

Returns

Derivative of Convolution of normalized gaussian distribution and sum of exponential decay \((\exp(-kt))\).

Note

• 1st column: df/dt

• 2nd column: df/d(fwhm)

• 2+i th column: df/dk_i