Two-dimensional non-separable quaternionic paraunitary filter banks
Nick A. Petrovsky, Eugene V. Rybenkov, Alexander A. Petrovsky · 2018
This paper presents a novel technique of factorization for 2-D non-separable quaternionic paraunitary filter banks (2-D NSQ-PUFB). Two-dimensional factorization structures called “16in-16out” and “64in-64out” respectively for 4-channel and 8-channel Q-PUFB based on the proposed technique are shown. The given structures can be mapped to parallel-pipeline processor architecture with a minimum latency time 2 (N+1) quaternion multiplication operations, where N is transform order of the Q-PUFB. The latency of parallel-pipeline processing does not depend on the size of the original image in contrast to the conventional 2-D transform. The coding gains CGMD of 2-D non-separable Q-PUFBs for the isotropic auto-correlation function model with the correlation factor ρ=0.95 are the following: CGMD=13.4 dB for “16in-16out” structure and CGMD=15.6 dB for “64in-64out” structure.