The reverse jacket matrix of weighted Hadamard transform for multidimensional signal processing

The class of reverse jacket matrices (~RJ\/sub N/) is defined; the main property of ~RJ\/sub N/ is that the inverse matrices of its elements can be obtained very easily and have a recursive structure. ~RJ\/sub N/ is a generalized form of the weighted Hadamard transform. Each element of ~RJ\/sub N/ can be used to the subsampling matrix. These matrices can be further used to develop efficient algorithms in PCS signal processing as well as in coding and information theory.