The Trigonometric Interpolation Method Based on Bordering Functions in Monitoring of Wave and Resonance Changes of Mechanical and Physical Fields

Autor: A.V. Sedov
Rok vydání: 2018
Předmět:
Zdroj: 2018 International Multi-Conference on Industrial Engineering and Modern Technologies (FarEastCon).
DOI: 10.1109/fareastcon.2018.8602792
Popis: The analysis of applied approaches of fast interpolation, recovery of discrete signals in multi-speed microprocessor systems for modeling and recognition of wave and resonance changes of mechanical and physical fields are given. A method of fast trigonometric interpolation based on bordering functions, which simplifies and accelerates the process of hierarchical recovery of signals is proposed. Expressions for simultaneous fast parallel filtering and interpolation of signals based on the application of new border-filtering functions are given. A set of interconnected sampling theorems for cases of equidistant and not equidistant samples of signal in time on a finite and infinite interval is formulated. The hierarchy of these theorems is determined and their interrelation with the well-known Kotelnikov's theorem is established.
Databáze: OpenAIRE