Patent ID: 8170153

Claim:
A method for determining positions of a plurality of mapping symbols for mapping binary signals on the complex plane, the method comprising: generating a plurality of trajectories respectively starting from a plurality of points on the complex plane, a distance between the trajectories being greater than or equal to the minimum distance from among the distances between the points; and determining positions of the plurality of mapping symbols for mapping binary signals on the trajectories so that the distance between the mapping symbols at each of the trajectories is greater than or equal to a predetermined distance and a phase between the mapping symbols is greater than or equal to a predetermined angle, wherein the determining of positions of the plurality of mapping symbols comprises: determining phases of the mapping symbols so that the number of decision areas adjacent to the decision area to which the mapping symbol for determining the position belongs is minimized in the mapping symbols having a size greater than or equal to a predetermined value from among the plurality of mapping symbols.