Hardware implementation of the transition matrix as part of the digital angle converter reading system based on a pseudo-random code scale

A hardware implementation of the transition matrix, the logical core of the digital angle converter reading system based on a pseudorandom code scale, is presented. The transition matrix is designed to perform a deterministic shift of the read code along the M-sequence corresponding to a fixed angular offset between the reading "windows". The architecture provides for the use of an odd number (in particular, three) spaced "windows", which, in combination with a set of precomputed transition matrices, allows for the implementation of a self-correction mechanism: in case of local damage or contamination of the scale mask, the system restores the correct angular position through mutual transformation and majority comparison of codes. The hardware implementation of the logical core can be performed on programmable logic integrated circuits or programmable logic arrays.

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