Optimizations for resolver-to-digital converters

A method comprising:

• obtaining, by a delta-sigma analog-to-digital converter of a microcontroller, and based on electrical interactions with a resolver sensor, a digital cosine value for an indirectly sensed angle of a rotating element and a digital sine value for the indirectly sensed angle of the rotating element;
• obtaining, by a fixed-point Luenberger Observer resolver-to-digital converter implemented by a fixed-point digital signal processor of the microprocessor, and based on the digital sine value and the digital cosine value, via a fixed-point mathematical operations, an approximate angle of the rotating element;
• and
• outputting, by the fixed-point Luenberger Observer resolver-to-digital converter, the approximate angle to facilitate control of the rotating element.

A system comprising:

• a rotating element;
• a resolver sensor attached to the rotating element;
• and
• a microcontroller communicatively coupled to the resolver sensor and configured to control the rotating element, the microcontroller comprising:
• a delta-sigma analog-to-digital converter communicatively coupled to a fixed-point digital signal processor and electrically coupled to the resolver sensor, the delta-sigma analog-to-digital converter configured to obtain, based on electrical interactions with the resolver sensor, a digital cosine value for an indirectly sensed angle of the rotating element and a digital sine value for the indirectly sensed angle of the rotating element;
• and
• the fixed-point digital signal processor configured to implement a fixed-point Luenberger Observer resolver-to-digital converter that obtains, based on the digital sine value and the digital cosine value, via fixed-point mathematical operations, an approximate angle of the rotating element.