The paper presents the original structure of a processing unit for multiplying quaternions.
The idea of organizing the device is based on the use of fast Hadamard transform blocks …

Most wavelet filters reported in the literature have irrational coefficients. Hardware
implementation can be simpler if the filter coefficients are rational valued. In this paper, we …

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

This paper presents an architecture for constant-coefficient hardware quaternion multipliers,
which is based on combining the CORDIC algorithm with a lifting scheme. Real multipliers …

The well-known generalization of real to complex arithmetic (two reals) extends further to
more obscure quaternion arithmetic (four reals), which has applications in signal processing …

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 …

Lifting-based complex multiplications and rotations are integer invertible, ie, an integer input
value is mapped to the same integer output value when rotating forward and backward. This …

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 integer-to-integer invertible quaternionic
multiplier based on the block-lifting structure and pipelined embedded processor of the …

In this paper, we have introduced a generalized block-lifting structure using the 2-D CORDIC
algorithm as a block of 4-band linear phase paraunitary filter banks (LP PUFB) based on the …