QUATERNIONIC APPROACH TO 8-CHANNEL GENERAL PARAUNITARY FILTER BANK

摘要

This paper presents an alternative factorization for 8-channel general paraunitary filter bank. The utilization of quaternion multiplications leads to a lattice structure being lossless regardless of coefficient quantization. Other advantages are reduced memory requirements and good suitability for FPGA and VLSI implementations. The shown decompositions of 8 × 8 orthogonal matrices can find other applications unrelated to filter banks.