# GAUSSFIT

## Purpose:

Fits *y*(*x*)* = A e*^{-B(x-C)2}
using linearization.

## Syntax:

GAUSSFIT(series)

(fit, coef) = GAUSSFIT(series)

(fit, A, B, C) = GAUSSFIT(series)

series |
- |
Input series or array. |

## Returns:

A
series.

(fit, coef) = GAUSSFIT(series)
returns both the fit and the coefficients as a series.

(fit, A, B, C) = GAUSSFIT(series)
returns both the fit as a series and the coefficients as separate coefficients.

## Example:

W1: 10 * exp(-0.5 * ((-10..0.01..10) - 2)^2)

W2: gaussfit(w1);overp(w1, lred)

overplots the original data with the calculated Gaussian fit.

## Example:

(fit, coef) = gaussfit(w1)

fit is the same series as in W2,

coef == {10.0, 0.5, 2}

## Example:

(fit, A, B, C) = gaussfit(w1)

fit is the same series as in W2,

A == 10.0

B == 0.5

C == 2

## Remarks:

GAUSSFIT fits an exponential curve of the form:

The fit is accomplished by fitting a polynomial to the following equation:

The fitted Gaussian curve (fit, coef)
= gaussfit(series) returns both the fit and the coefficients as
a series where **coef** is in the
form {A, B, C}.

If *y* is not positive, the result
will be complex.

## See Also:

EXPFIT

LINFIT

POLYFIT

POWFIT

TREND