Premium
Kolmogorov–Zurbenko filters
Author(s) -
Yang Wei,
Zurbenko Igor
Publication year - 2010
Publication title -
wiley interdisciplinary reviews: computational statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.693
H-Index - 38
eISSN - 1939-0068
pISSN - 1939-5108
DOI - 10.1002/wics.71
Subject(s) - filter (signal processing) , convolution (computer science) , fourier transform , algorithm , impulse response , computer science , filter design , raised cosine filter , root raised cosine filter , window function , composite image filter , signal processing , mathematics , linear filter , image (mathematics) , computer vision , artificial intelligence , digital signal processing , mathematical analysis , computer hardware , artificial neural network
Abstract We reviewed the properties of the Kolmogorov–Zurbenko (KZ) filter and its extensions with applications in high resolution signal and image processing. The KZ filter is defined as an iteration of a moving average (MA) filter. The impulse response function of the KZ filter is a convolution of the rectangular window being used in a MA filter. Zero derivatives at the edges of the impulse response function make it a sharply declining function, providing high frequency resolution. The KZ Fourier transform (KZFT) is derived from the KZ filter by applying it to Fourier transform. Extensions of the KZ filter and the KZFT are demonstrated with examples. Copyright © 2010 John Wiley & Sons, Inc. This article is categorized under: Applications of Computational Statistics > Signal and Image Processing and Coding