Generalized numerical lattices for time series representation in complex data systems

Abstract

Analysis of information from multiple data sources obtained through high resolution instrumental measurements has become a fundamental task in all scientific areas. The development of expert methods able to treat such multi-source data systems, with both large variability and measurement extension, is a key for studying complex scientific phenomena, especially those related to systemic analysis in space and environmental sciences. In this paper, we propose a time series generalization introducing the concept of generalized numerical lattice, which represents a discrete sequence of temporal measures for a given variable. In this novel representation approach each generalized numerical lattice brings post-analytical data information. We define a generalized numerical lattice £ as a set of three coefficients (κ, λ , μ p ), representing the following data properties: dimensionality, size and post-analytical parameters, respectively. From this generalization, any multi-source database can be reduced to a closed set of classified time series in spatio-temporal generalized dimensions. As a case study, we show a preliminary application in space science data, highlighting the possibility of a real time analysis expert system to be developed in a future work.

Fluctuation analysis of solar radio bursts associated with geoeffective X-class flares

“…Once the decimetric solar bursts analyzed here are related to geoeffective events, the microphysics processes as particle acceleration and magnetic reconnection can be addressed in a more general scenario involving the plasma solar-terrestrial environment. Then, in the framework of the solar radio activity, our results strongly suggest the use of the DFA scaling exponent as a computational measure for solar radio burst automatic monitoring system (RBAMS), which has been developed for a real-time data system representation (Veronese et al, 2009) in the scope of the Brazilian Space Weather Program.…”