Patent ID: 7460617

Claim:
A method for correcting the phase and gain of data associated with a constellation pattern of a plurality of received individual symbols, the constellation pattern having a first quadrant union including a first quadrant and a third quadrant, and a second quadrant union including a second quadrant and a fourth quadrant, the method comprising: dividing each individual symbol into real and imaginary symbol components; determining the signs of the real and imaginary symbol components; determining whether the individual symbol is associated with the first quadrant union or the second quadrant union based on the signs; determining the absolute values of the real and imaginary symbol components; creating a first sum of the absolute values of the real symbol components as being associated with the second quadrant union and the absolute values of the imaginary symbol components as being associated with the first quadrant union; and creating a second sum of the absolute values of the real symbol components as being associated with the first quadrant union and the absolute values of the imaginary symbol components as being associated with the second quadrant union; wherein the phase and gain of data associated with the constellation pattern is corrected based on the first and second sums.