Geometric Algebra (GA) has proven to be an advanced language for mathematics, physics,
computer science, and engineering. This review presents a comprehensive study of works …

A new family of stochastic gradient adaptive filter algorithms is proposed which is based on
mixed error norms. These algorithms combine the advantages of different error norms, for …

This paper presents an efficient algorithm for high-quality speech capture in applications
such as hands-free teleconferencing or voice recording by personal computers. We process …

The digital twin of the ocean (DTO) is a groundbreaking concept that uses interactive
simulations to improve decision-making and promote sustainability in earth science. The …

The standard adaptive filtering algorithm with a single error norm exhibits slow convergence
rate and poor noise reduction performance under specific environments. To overcome this …

In this paper, a novel augmented complex-valued least-mean kurtosis (ACLMK) algorithm is
proposed for processing complex-valued signals. The negated kurtosis of the complex …

A widely linear quaternion-valued least-mean kurtosis (WL-QLMK) algorithm is introduced
for adaptive filtering of quaternion-valued circular and noncircular signals. In the design …

Due to the good filter performance for the non-Gaussian noise, the adaptive filters with error
nonlinearities have received increasing attention recently. From the viewpoint of the …

A system and method facilitating signal enhancement utilizing an adaptive filter is provided.
The invention includes an adaptive filter that filters an input based upon a plurality of …

Underdetermined or ill-posed inverse problems require additional information for sound
solutions with tractable optimization algorithms. Sparsity yields consequent heuristics to that …