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 …

The gradients of a quaternion-valued function are often required for quaternionic signal
processing algorithms. The HR gradient operator provides a viable framework and has …

A transverse wave is a wave in which the particles are displaced perpendicular to the
direction of the wave's advance. Examples of transverse waves include ripples on the …

Novel 4D CORDIC algorithms and hardware architecture for multiplying quaternions are
presented, aimed at constant-coefficient multipliers. In our solution, microrotations are …

A multi-channel frequency-domain quaternion-valued adaptive filtering structure is proposed
based on the quaternion-valued discrete Fourier transform (DFT). Similar to the traditional …

In most algorithms that use quaternion numbers, the key operation is a quaternion
multiplication, of which the efficiency and accuracy obviously determine the same properties …

This paper presents a design method of reversible integer quaternionic paraunitary filter
banks (Int-Q-PUFB) using the adder-based distributed arithmetic (DA Σ) for implementation …

Quaternions have offered a new paradigm to the signal processing community: to operate
directly in a multidimensional domain. We have recently introduced the quaternionic …

This paper presents a systematic design of the of the integer-to-integer invertible
quaternionic multiplier based on the block-lifting structure and pipelined embedded …

For quaternionic signal processing algorithms, the gradients of a quaternion-valued function
are required for gradient-based methods. Given the non-commutativity of quaternion …