Method for interpolating at least two position-dependent, periodic analog signals that are dephased relative each other

A device for interpolating at least two position-dependent, periodic analog signals that are phase-shifted with respect to each other and which are generated by scanning a measuring scale, comprising:

• a sigma-delta modulator configured to convert the analog signals to a respective digital data stream;
• an arithmetic unit configured to generate a string of results in accordance with a combination of the data streams with correctional values and in accordance with subsequent combination of the data streams with one another;
• an arrangement configured to generate, from the string of results, (a) new correctional values in accordance with a quality criterion that is to be satisfied during the interpolation and (b) output signals of the interpolation;
• a filter configured to accumulate values of the string of results over a specified time interval to generate an address sequence to control the arithmetic unit to guide the string of results to satisfy the quality criterion;
• and
• an evaluation circuit post-connected to the filter configured to convert address values of the address sequence into output values of the interpolation.

A method for interpolating at least two position-dependent, periodic analog signals that are phase-shifted with respect to one another and which are generated by scanning a measuring scale, comprising:

• converting each of the analog signals into a digital data stream by a sigma-delta modulator;
• generating a string of results by combining the data streams with correctional values and subsequently combining the data streams with one another;
• generating from the string of results a combination output in accordance with a quality criterion that is to be satisfied during interpolation;
• accumulating over a specifiable time interval values of the combination output for generating the correctional values and output signals;
• and
• using a signal sequence generated by the accumulation as an address sequence for generating the correctional values and for generating the output signal.

A device for interpolating at least two position-dependent, periodic analog signals that are phase-shifted with respect to each other and which are generated by scanning a measuring scale, comprising:

• a sigma-delta modulator configured to convert the analog signals to a respective digital data stream;
• an arithmetic unit configured to generate a string of results in accordance with a combination of the data streams with correctional values and subsequent combination of the data streams with one another;
• an arrangement configured to generate, from the string of results a combination output in accordance with a quality criterion that is to be satisfied during the interpolation;
• a filter configured to accumulate values of the combination output over a specified time interval to generate an address sequence to control the arithmetic unit to guide the string of results to satisfy the quality criterion;
• and
• an evaluation circuit post-connected to the filter configured to convert address values of the address sequence into output values of the interpolation.