Calibration system as a solution of nonlinear equations

Nice day

The challenge of the day is to provide a calibration for a release of the accelerometer, expressed as a binary value.

I have an accelerometer whose operating range can be set (±2g, ±4g ±8g).  The accelerometer itself then generates a binary value to 16-bit resolution.  Therefore, only 2 ^ 16 value (0-65535) represents an acceleration value of which depends on the lines we have.

So we make the asumption that the response is linear, which allows us to claim:

Acceleration = scale x value binary + Offset

I have three axes of a value of data, accelerometer A, B and C.  If I hold the stationary accelerometer, the only thing that I should be reading is acceleration due to gravity, g.  It makes me of the relationship

(A) ^ 2 + (B) ^ 2 + (C) ^ 2 = g ^ 2

Since then, in any direction, the magnitude of the combination of all the three readings of the acceleration must be the gravitational acceleration (and that shouldn't change little matter which side you happen be pointing the accelerometer).

What gives me, then, is a non-linear relationship of 6 variables (scale factors three and three shifts). I should be able to take six measures in an arbitrary orientation that will give me six output values of each had.  Then I should be able to get out the scale factors and offsets for each accelerometer, either in terms of g or with respect to which, in my opinion, g is.

So, my question is how can I get Labview to do this?  I see that there is a tool to solve linear equations, but I don't see one appropriate for the non-linear case.  I'm also very comfortable believing that I'm just missing it :-)

Thank you!

Since the help file detail to the nD nonlinear system Solver.vi:

Formula Variables VI analysis

The formula analysis screws accept only the following variables:

Note  These same variables to specify the description of the chain of the formula for the adjustment of non-linear curve VI.

a, a0,..., a9

b, b0,..., b9

.

.

.

z, z0,..., z9

For variable and function names, only lower-case letters are allowed. Screw interpret case as errors.

1. I found this by opening the Panel before the nonlinear Solver VI when executing your VI. The error information said that there was a problem with the formula.

2. I replaced the Scale__ and Offset__ variables with a0, a1, b0, b1, c0 and c1 in tables X and f (x).

3. I have expanded the values start and end - 10 and 10.

This seems to work much better. At least it runs.

Lynn

Tags: NI Software

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