“…This problem can be mitigated with a high-resolution linear scale equipped with a high-speed front-end readout and signal processing chip, which can output harmonic signals to obtain greater accuracy and higher resolution. Among different scales, it is known that magneto-resistance (MR) scales, as compared to other scales, especially optical scales [ 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 ], have the advantages of low cost, high speed, accuracy and adequate precision. In comparison of the accuracies offered by MR and optical scales, the optical scale using the reflection principle could achieve a resolution higher than the MR scale, but the MR scale requires much lower costs for components and manufacturing.…”