Abstract: A processing apparatus calculates and applies calibrations to sensors that produce quasi-sinusoidal, quadrature signals, using fixed or programmable electronic circuits, a circuit to calculate the phase and magnitude corresponding to the two input (quadrature) signals, and a circuit for accumulating the number of cycles of the input signals. The apparatus also includes a circuit to generate Gain, Offset, and Phase calibration coefficients by comparing a phase space position of a measured phasor with the position of an idealized phasor whose locus in phase space is a circle of predetermined radius with no offset. The calculation of the coefficients occurs without user intervention, according to a pre-programmed rule or rules.

Abstract: A processing apparatus calculates and applies calibrations to sensors that produce quasi-sinusoidal, quadrature signals, using fixed or programmable electronic circuits, a circuit to calculate the phase and magnitude corresponding to the two input (quadrature) signals, and a circuit for accumulating the number of cycles of the input signals. The apparatus also includes a circuit to generate Gain, Offset, and Phase calibration coefficients by comparing a phase space position of a measured phasor with the position of an idealized phasor whose locus in phase space is a circle of predetermined radius with no offset. The calculation of the coefficients occurs without user intervention, according to a pre-programmed rule or rules.

Abstract: A processing apparatus calculates and applies calibrations to sensors that produce quasi-sinusoidal, quadrature signals, using fixed or programmable electronic circuits, a circuit to calculate the phase and magnitude corresponding to the two input (quadrature) signals, and a circuit for accumulating the number of cycles of the input signals. The apparatus also includes a circuit to generate Gain, Offset, and Phase calibration coefficients by comparing a phase space position of a measured phasor with the position of an idealized phasor whose locus in phase space is a circle of predetermined radius with no offset. The calculation of the coefficients occurs without user intervention, according to a pre-programmed rule or rules. The apparatus also includes a circuit to apply the Gain, Offset, and Phase calibration coefficients to the measured quadrature signals xi and yi according to predetermined formulae using scaling coefficients, offset coefficients and a phase coefficient.

Abstract: The disclosed optical encoder includes a scale and a sensor head. The scale includes an optical grating and an optical element. The sensor head includes a light source, a detector array, and an index detector all of which are disposed on a substrate. The scale is disposed opposite the sensor head and is disposed for movement relative to the sensor head. The distance between the scale and the sensor head is selected so that the detector array lies near a talbot imaging plane. The light source emits a diverging beam of light, which is directed towards the scale. Light from the diverging beam of light is diffracted by the grating towards the detector array. Light from the diverging beam of light is diffracted by the optical element towards the index detector. The detector array provides a measurement of the position of the sensor head relative to the scale. The index detector provides a reference measurement of the position of the sensor head relative to the scale.

Abstract: The disclosed electronic processing apparatus calculates and applies calibrations to sensors that produce quasi-sinusoidal, quadrature signals. The apparatus includes either or both of fixed and programmable electronic circuits. The apparatus includes a circuit to calculate the phase and magnitude corresponding to the two input (quadrature) signals. The apparatus also includes a circuit for accumulating the number of cycles of the input signals. The apparatus also includes a circuit to generate Gain, Offset, and Phase calibration coefficients, wherein the circuit compares the phase space position of the measured phasor with the position of an idealized phasor, the locus of the idealized phasor in phase space being a circle of predetermined radius with no offset. The calculation of the coefficients occurs without user intervention, according to a pre-programmed rule or rules.

Abstract: The disclosed electronic processing apparatus calculates and applies calibrations to sensors that produce quasi-sinusoidal, quadrature signals. The apparatus includes either or both of fixed and programmable electronic circuits. The apparatus includes a circuit to calculate the phase and magnitude corresponding to the two input (quadrature) signals. The apparatus also includes a circuit for accumulating the number of cycles of the input signals. The apparatus also includes a circuit to generate Gain, Offset, and Phase calibration coefficients, wherein the circuit compares the phase space position of the measured phasor with the position of an idealized phasor, the locus of the idealized phasor in phase space being a circle of predetermined radius with no offset. The calculation of the coefficients occurs without user intervention, according to a pre-programmed rule or rules.

Abstract: The disclosed optical encoder includes a scale and a sensor head. The scale includes an optical grating and an optical element. The sensor head includes a light source, a detector array, and an index detector all of which are disposed on a substrate. The scale is disposed opposite the sensor head and is disposed for movement relative to the sensor head. The distance between the scale and the sensor head is selected so that the detector array lies near a talbot imaging plane. The light source emits a diverging beam of light, which is directed towards the scale. Light from the diverging beam of light is diffracted by the grating towards the detector array. Light from the diverging beam of light is diffracted by the optical element towards the index detector. The detector array provides a measurement of the position of the sensor head relative to the scale. The index detector provides a reference measurement of the position of the sensor head relative to the scale.