TIDUFF8 September 2025
Figure 4-4 and Figure 4-5 show the measured sine and cosine signals of the outer coil with 16 periods at the 7th sector over one electrical period. This corresponds to a mechanical angle from 135 degrees to 157.5 degrees. The maximum and minimum voltage of the sine is 3.036V and 0.123V. The cosine signal range is 3.176V and 0.232V. There is gain and an offset mismatch between the sine and cosine signals, which causes 1st harmonic electrical angle error. Minimize this error with calibration.
The following figures show the sine and cosine signal noise and histogram plots at a fixed 0.5 degrees mechanical angle. For the analysis, 2000 samples of the sine and cosine signals of the outer and inner loop where conducted at a sample rate of 32kHz with 8 × oversampling.
Table 4-4 shows the standard deviation, signal-to-noise ratio (SNR), and effective number of bits (ENOB) versus full-scale range. The absolute angle position data is calculated by the outer coil after the absolute angle is detected at start-up, the inner coil noise does not influence the final accuracy.
Figure 4-10 Histogram Outer Coil Sine
Figure 4-12 Histogram Inner Coil Sine
Figure 4-11 Histogram Outer Coil Cosine
Figure 4-13 Histogram Inner Coil Cosine| PARAMETER | OUTER COIL SINE | OUTER COIL COSINE | INNER COIL SINE | INNER COIL COSINE |
|---|---|---|---|---|
| Sine/Cosine amplitude (V) | 1.45 | |||
| Standard deviation (mV) | 0.73 | 2.00 | 2.13 | 2.24 |
| SNR (dB) | 66.0 | 57.2 | 56.7 | 56.2 |
| ENOB (bit) | 10.66 | 9.21 | 9.12 | 9.05 |