Design of eight-band oversampled linear phase paraunitary filter banks using quaternion multiplication matrices

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.