The recently introduced Reverse Jacket matrix (RJM) has a generalized form of the Hadamard matrix. Thus the RJM is closely related to the matrix for a fast Fourier transform (FFT). It also has a very interesting structure, i.e., its inverse can be easily obtained and has the reversal form of the...

In this paper, the previous definition of the Reverse Jacket matrix (RJM) is revised and generalized. In particular, it is shown that the inverse of the RJM can be obtained easily by a constructive approach similar to that used for the RJM itself. As new results, some useful properties of RJMs,...