Open AccessNumerical Hilbert Transform Algorithm for Causal Interpolation of Functions Represented by Cubic and Exponential Splines
Author(s) -
Dusan N. Grujic
Publication year - 2021
Publication title -
ieee access
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.587
H-Index - 127
ISSN - 2169-3536
DOI - 10.1109/access.2021.3117978
Subject(s) - aerospace , bioengineering , communication, networking and broadcast technologies , components, circuits, devices and systems , computing and processing , engineered materials, dielectrics and plasmas , engineering profession , fields, waves and electromagnetics , general topics for engineers , geoscience , nuclear engineering , photonics and electrooptics , power, energy and industry applications , robotics and control systems , signal processing and analysis , transportation
This paper presents an algorithm for numerical Hilbert transform of functions represented by cubic and exponential splines, which is suitable for causal interpolation of data spanning several frequency decades. It does not suffer from excessive number of data points due to large frequency span, and does not exhibit aliasing, both of which are characteristic for Hilbert transform algorithms based on FFT. The proposed algorithm was used for causal interpolation of characteristic impedance of microstrip line over conductive substrate, and the results were compared to the output of CausalCat.