Two-dimension digital ratiometric decoder

A method for processing digital signals such that the resultant digital signal is proportional to a physical change detected in a closed loop control system, comprising:

• adding two digital signals for one dimension to produce a sum of the signals' magnitudes;
• subtracting one of the signals from the other to produce a difference of the signals' magnitudes;
• and
• dividing the difference of the signals' magnitudes by the sum of the signals' magnitudes to produce a quotient which is proportional to the physical change of an object being controlled.

A two-dimensional digital ratiometric decoder comprising:

• at least one selector circuit connected to the output of the one or more filters adapted to select the signals to be processed by alternating between the signals representative of the X dimension and the signals representative of the Y dimension;
• a summation circuit adapted to add the amplitude magnitudes of the signals selected by the selector circuit;
• a difference circuit adapted to obtain the difference between the amplitude magnitudes of the signals selected by the selector circuit;
• and
• a divider circuit adapted to divide the output of the difference circuit by the output of the summation circuit to produce a quotient proportional to the physical change of an object being controlled.

A method for responding to a physical change in a closed loop control system comprising:

• converting analog signals to digital signals, wherein the analog signals are representative of a physical change in more than one dimension;
• processing the converted digital signals with a two-dimensional digital ratiometric decoder to produce a digital quotient which is proportional to the physical change measured;
• and
• processing the digital quotient to determine the appropriate response to the physical change measured.