Our patented Fractional Scaling Digital Filters or sNoise® Filters greatly improve upon the performance, accuracy, precision, and efficiency of current digital signal processing (DSP) filters, methods, and algorithms.
Simply, the mathematics of sNoise answers the question of "What is inside the black box?" and is an effective tool in the study of systems that generate self-affine time series.
Formally, the fractional calculus of sNoise, first introduced in the dissertation of Dr. Smigelski, encompasses a new class of modified Laplace transfer functions incorporating the scaling exponent b which mathematically define fractional control orders, scaling, phase shifting, filtering, integration, or differentiation known to occur in a variety of systems such as those that generate stochastic time series.
In one sense, sNoise science allows all analog system equations to become digital without loss of resolution to achieve exact solutions rather than approximations in digital systems. Currently, the explanations of sNoise provided here are limited due to the proprietary nature of the intellectual property associated with sNoise. In the future, this section will be expanded as the science is made public.