Embodiments of the present invention significantly reduce the number and complexity of processing operations to be performed. This is done by receiving the learned run out or vector A to be rotated by phase q. This phase q may be limited to a .pi./4 resolution. Sine function values and cosine function values based on q are selected from a group of values comprising -1, 0, and +1. The sine function values and cosine function values selected may then be applied to the learned run out or vector A to rotate the vector A by phase q. Because the sine and cosine values are limited to -1, 0 and +1 many multiplication processing operations are eliminated. This greatly simplifies the processing requirements associated with phase rotating of this learned run out.