1. A method of supplying constrained feedback information comprising: receiving at least one receive signal; generating the constrained feedback information including, estimating a channel matrix based on the at least one receive signal, comparing the estimated channel matrix with at least two partition regions, each partition region being a function of a distance eigenvalue, selecting one of the partition regions based on the comparing, and setting the constrained feedback information to a partition identifier (ID) of the selected partition region; and transmitting the constrained feedback information.