Patent ID: 6341298
Filing Date: 2002-01-22
Classification: H04L

Abstract:
A method for calculating a vector A from a set comprising at least one pair of subspaces of RN wherein N is the dimension of said vector space, each of said at least one pair comprises a first subspace and a second sub space of the vector space RN, and a set of maximal projections and their corresponding unit vectors, each of said maximal projections is associated with one of said pairs of subspaces, wherein for each of said pairs of subspaces said first subspace is the column space of a N by m matrix M and said second subspace is a function of a predefined set of indices between 1 and N, comprising:for each of said pairs of subspaces: determining a unit vector C in one of said subspaces so that a projection of said unit vector upon another of said vector subspaces is maximal for all unit vectors in said one of said vector subspaces; applying a predefined optimizing function to said set of maximal projections and unit vectors, thereby selecting a maximal projection and its corresponding unit vector and pair of first and second subspaces; determining a vector A having length m, so that the product of said vector A and matrix M is a unit vector B and the projection of B upon second subspace in the pair corresponding to said selected maximal projection is equal to said selected maximal projection.