Design of eight-band oversampled linear phase paraunitary filter banks using quaternion multiplication matrices
Marek Parfieniuk, Alexander Alexandrovich Petrovsky · 2007
Redundant signal representations provided by oversampled filter banks have recently found applications in signal processing. Their overcompleteness is useful for error-resilient and high-quality coding, whereas denoising and texture analysis benefit from their shift-invariance. Although paraunitary filter banks are mainly considered in the related works, fixed-point implementation of such systems remains an open problem. In this paper, we present quaternionic lattice structure for eight-band oversampled linear-phase paraunitary filter banks (OLPPUFBs) which guarantees orthogonality of the filters regardless of the coefficient precision.