Journal of Information Technology & Software Engineering
Open Access

The generalized multi-dimensional platform for data array classification

Global Summit and Expo on Multimedia & Applications

August 10-11, 2015 Birmingham, UK

Raoul R Nigmatullin

Posters-Accepted Abstracts: J Inform Tech Soft Engg

Abstract :

The author wants to pay an attention of many researches on the papers where new principles of description of random signals
are formulated. The problem can be formulated as follows: Is it possible to find a regression curve of many random signals if
their probability distribution function (PDF) is not known? This problem can be solved if we replace a priori supposition about
PDF by some principles that can be tested and justified. All these new methods can be unified under acronym – NIMRADNon-
Invasive Methods of the Reduced Analysis of Data. We should mark some basic references related to the NIMRAD in
order to stress its applicability to a wide circle of problems that can be solved by new methods associated with quantitative
description of random signals and sequences.
1. NAFASS – non-orthogonal amplitude-frequency analysis of the smoothed signals.
2. The reduced fractal model (RFM) that can be applied for quantitative description of different blow-like signals.
3. Detection of quasi-periodic processes that are described in terms of Prony decomposition.
4. FERMA (The fractional exponential reduced moments’ analysis) of random sequences that generalizes the conventional
data description based on the total spectrum of the fractional moments.
5. The statistics of the fractional moments and definition of the complete correlation factor based on the generalized Pearson
correlation function.
These new methods can be applicable for quantitative description of different multimedia signals without a priori and
specific model suppositions accepted in the conventional mathematical statistics.