The Fast Interpolation Transformation and the Sampling Theorem on the Basis of Bordering Functions for Recording the Wave Signals of Mechanical and Other Physical Fields

被引：0

作者：

Sedov, A. V. ^{[1
,2
]}

机构：

[1] RAS, SSC, Dept Mech Phys & Nanotechnol, Rostov Na Donu, Russia

[2] Platov South Russian State Polytech Univ NPI, Dept Informat Technol & Control, Novocherkassk, Russia

来源：

2018 12TH INTERNATIONAL IEEE SCIENTIFIC AND TECHNICAL CONFERENCE ON DYNAMICS OF SYSTEMS, MECHANISMS AND MACHINES (DYNAMICS) | 2018年

关键词：

fast interpolation; a functions; signals of wave and resonance changes; recording signals; quasiorthogonal system of basis functions; sampling theorem; quasi-unit matrix;

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The approach of the fast interpolation of discrete signals in multi-speed microprocessor systems for recording signals of wave and resonance changes in mechanical and other physical fields is considered. Interpolation is carried out on the basis of bordering functions that simplify and accelerate the process of signal restoration. A set of interconnected sampling theorems is formulated on the basis of bordering functions for cases of uniform and non-uniform sampling of signals. A certain hierarchy of these theorems and their interrelation with the well-known Kotelnikov-Shannon sampling theorem are established. New concepts of a quasi-orthogonal system of basis functions and a quasi-unit matrix are proposed.

引用

页数：4