Structurally Orthogonal Finite Precision Implementation Quaternionic Based Paraunitary Filter Bank

The novel 4- and 8-band linear-phase paraunitary filter banks (LP PUFBs) using quaternion multipliers are presented, which are aimed at a finite-precision implementation. The presented in the given paper LP PUFB offers clean advantages over the known ones are regularity conditions are formulated directly in terms of quaternionic lattice coefficients. Namely, both regularity and losslessness can be easily preserved regardless of coefficient quantization unavoidable in finite precision implementations. The constant-coefficient hypercomplex multipliers are the kernel of such a LP PUFB. In this paper a digit (L-bit)-serial quaternionic multiplier based on distributed arithmetic has been identified as a suitable structure for implementations in a FPGA circuit. Finally, apart from a theoretical development, experimental design results which are obtained using a Xilinx Virtex 6 FPGA are reported.