Open AccessSignal Delay Reconstruction Method Based on Dynamic Index and Complex‐Coefficient Lagrange Interpolation
Author(s) -
Zhou Yang,
Zheng Zhe,
Wu Siliang
Publication year - 2015
Publication title -
chinese journal of electronics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.267
H-Index - 25
eISSN - 2075-5597
pISSN - 1022-4653
DOI - 10.1049/cje.2015.10.014
Subject(s) - interpolation (computer graphics) , lagrange polynomial , signal (programming language) , algorithm , index (typography) , signal reconstruction , computer science , mathematics , signal processing , mathematical optimization , artificial intelligence , class (philosophy) , telecommunications , motion (physics) , programming language , radar , world wide web
This paper presents a large‐range, highprecision and continuously variable delay reconstruction method for wideband and arbitrary bandlimited signal, which combines dynamic index technique with complexcoecient Lagrange interpolation technique. The method samples time‐continuous bandlimited signal and stores samples in sequence. It manages to obtain the highprecision delay parameters of every sampling period from desired delay to compute the so‐called index position variable and interpolator parameters. It dynamically indexes and chooses a set of samples to implement piecewise complex‐coecient Lagrange interpolation for reconstructing the delayed sequences. The time‐continuous delay reconstruction signal can be simply accomplished through digital‐to‐analog conversion. The mathematical model of the method and its transformed form is given, and the arithmetic of dynamic index and complex‐coecient Lagrange interpolation is derived. Simulation and test results show the validity and performance of the method.