With a peak calibrated plus lookup table hybrid system, bipolar sensor data is first normalized to ±1 for use with the arctan2 (two sensors) or arcsin (one sensor) function to determine a preliminary angle (A_p). Arctan2 must be used instead of arctan because arctan2 accounts for which of the two values are negative. Then the calculated A_p for various known ideal angles (A_i) are recorded as calibration angles (A_c), and a linear error adjustment is done to all future A_p based on the error between the recorded A_c and the known A_i. The process for calibration is:

1. Find A_p by inputting the normalized data into the arctan2 or arcsin function, as outlined in Section 4.2.1.1).
2. Rotate the magnet to the 0° point and use this A_p as a zero-offset for all other A_p calculations.
3. Rotate the magnet to the desired calibration A_i and record the A_p as A_c. (The A_c for 0° is 0° because of the zero-offset adjustment done previously).
4. Then, during normal operation, each new A_p falls between two of the previously recorded A_c; the angle just above A_p (A_cA) and the angle just below A_p (A_cB).
5. The error for any point between A_cA and A_cB is estimated from a linear approximation of the known error from A_cA to A_iA and A_cb to A_iB in the form of y = Mx + b, where:
   Equation 6. $M=\frac{A_{iA}-A_{iB}}{A_{cA}-A_{cB}}, and B=A_{iA}-(A_{cA}\times M)$
6. Then, all new angle values (A_n) can be calculated using Equation 7:
   Equation 7. $A_n=(M\times A_p)+B$