Calibration of resistor ladder using difference measurement and parallel resistive correction

A calibration system for a resistor ladder including N resistors, comprising:

• a resistor tree of calibration resistors, coupled to the resistor ladder, the resistor tree including a plurality of branches wherein each branch comprises at least one pair of complementary programmable resistors coupled together at a common junction and wherein each programmable resistor of each branch is coupled in parallel with N/X resistors of the resistor ladder in which X is a positive integer starting at 2 for a first branch and incremented for each additional branch to N for a final branch and wherein a branch is included in the resistor tree only if N/X is an integer, the plurality of branches including the first branch with a pair of complementary programmable resistors each coupled in parallel with N/2 resistors of the resistor ladder and the final branch with N programmable resistors each coupled in parallel with a corresponding one of the resistors of the resistor ladder;
• a measurement circuit, coupled to the resistor tree, that measures a voltage difference between a selected complementary pair of programmable resistors;
• and
• control logic, coupled to the measurement circuit and the resistor tree, that controls the measurement circuit to measure a voltage difference between each complementary pair of programmable resistors and that adjusts the relative resistance of each complementary pair of programmable resistors to achieve a more equal voltage if the voltage difference is greater than a predetermined magnitude.