algorithm to find the top of the parabola

Use case: mower rejection of common-mode using a programmable potentiometer

Problem: The performance of each circuit varies greatly and you are looking for best value (lowest CMRR) gives erroneous results. The performance seems to be relatively flat on some circuits, straight on others. Launching in the middle range of the potentiometer and moving upwards or downwards, I compare the measured value after the change of the potentiometer to the last measured value. By doing this I can get for the lowest CMR.

Setup: entry wave sign 5V 60 Hz on both positive and negative of a differential ADC. The potentiometer is cut and reduces common-mode noise. Go away and the common-mode noise increases.

Question: I would like to use adjustment curve to calculate the shape of the performance of the CMR. Take several steps (no more than 10 then I hope). Get the x y (x = 0 to 1023 trim adjustment potentiometers, Y = amplitude of the measured signal common-mode). Find the vertex.

Is this possible and can someone point to an example.  I have not found one.

A parable is a second order polynomial curve.  The Summit must be the peak value.  The general polynomial Fit.vi to maintain your data. The Coefficients of the polynomial outputs to calculate the location of the tip with a DAB of analytic geometry.

Edit: Note that you may need to do checks to make sure that your data has not generated any curve as a parable.

Lynn

Tags: NI Software

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