Transformation kernels and algorithms for the generation of forward and inverse Hadamard ordered multi-polarity generalized Walsh transforms

The ways of generation of forward and inverse transformation kernels for recently introduced generalized Walsh transform in Hadamard ordering have been presented. Algorithms that generate Hadamard ordered forward and inverse generalized Walsh transforms for an arbitrary polarity have been introduced. Mutual transitions and flow diagrams for the calculation of generalized Walsh spectra in different polarities from known spectrum of an arbitrary polarity for both forward and inverse transforms have been given.