A novel transformation design of RNA to DNA for signal processing

This letter presents a single strand of ribonucleic acid (RNA) with the Kronecker product of double stochastic matrix becoming the deoxyribose nucleic acid (DNA) double helix for signal processing design. Inspired by this manner of the life science and employing the characteristics of the block circulant Jacket matrix (BCJM), a novel algorithm is investigated named RNA-DNA algorithm. The RNA matrix decomposition is the form of the Kronecker product of Hadamard and identity matrices based on its pair complementarity. The variants of kernel of the Kronecker families are produced by the permutations of the four letters, i.e., C, A, U and G on the positions in the matrix. Based on this manner, a novel DNA-RNA decomposition (DNA-RNA-D) is investigated by employing the clustered regularly interspaced short palindromic repeats (CRISPR) and the Kronecker product of the symmetrical genetic matrices which strictly follow the complementary principle.