Profiles types.

Table of Contents

• Introduction
• Profile types
  • none
  • two_power
  • two_power_gs
  • two_power_r
  • power_series
  • cubic_spline
  • akima_spline
  • line_segment
  • sq_exp_1d

Introduction

This page contains discriptions of the types of profiles that can be used for parameterized profiles. Profiles are tagged in the Model profile specification, as pp_*_ where * refers to the specific profile.

Profile types

Profiles can be defined as any of the following types.

none

none No profile is used in this instance.

two_power

'two_power' Profile is defined as a two power poly nomical with 4 coeffiecents. Coefficients are defined as in the first 4 indicies of the '_b' array. The profile is defined as follows.

a(x) = b[0] + b[1]*(1 - x^b[2])^b[3]

where x is valid from zero to one.

two_power_gs

'two_power_gs' Profile is defined as a two power poly nomical with 4 coefficients plus and an arbitrary number of additional guassian functions. The number of giassian functions if limited to the size of the '_b' array. The two power part is defined the same as two_power. The remaining guassian bits are defined as

a(x) = b[i]*Exp(-(x - b[i + 1])^2/b[i + 2]^2)

two_power_r

'two_power_r' Reversed Two power profile defined the same as two_power except the argument is reversed. The function is maximum at x = 1 and minimum at x = 0.

power_series

'power_series' Profile is defined as a power series with '_b' array coefficients.

a(x) = b[0] + b[1]*x + b[2]*x^2 + b[3]*x^3 + etc...

cubic_spline

'cubic_spline' Profile defined as cubic spline segments. Splines knots are defined by the position, '_as' array, and amplitude, '_af' array.

akima_spline

'akima_spline' Profile defined as akima spline segments. Splines knots are defined by the position, '_as' array, and amplitude, '_af' array.

line_segment

'line_segment' Profile defined as line segments. Segment knots are defined by the position, '_as' array, and amplitude, '_af' array.

sq_exp_1d

'sq_exp_1d' Guassian process profile are defined by hyper parameters in the first two elements of the '_b' array. The points the profile is computed to is defined by positions on the '_as' array.

sq_exp_1d

'sq_exp_1d_ln' Guassian process profile are defined by hyper parameters in the first two elements of the '_b' array. The points the profile is computed to is defined by positions on the '_as' array.