Arithmetic-Walsh Spectral Transform Decision Diagrams

The generalization of multi-polarity arithmetic-Walsh transform in the form of layered Kronecker matrices and its corresponding representations is proposed. As the new hybrid arithmetic-Walsh transform has a structure similar to that of the Walsh and arithmetic transform matrices, similar spectral transform decision diagrams are held in the expanded transform as well. The new kind of spectral transform decision diagram has terminals corresponding to the multi-polarity arithmetic-Walsh transform to represent the arithmetic-Walsh spectra of discrete functions