A fast filter-bank for adaptive fourier analysis

A. Várkonyi-Kóczy, G. Simon, László Sujbert, Márk Fék

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

Adaptive Fourier analyzers have been developed for measuring periodic signals with unknown or changing fundamental frequency. Typical applications are vibration measurements and active noise control related to rotating machinery and calibration equipment that can avoid the changes of the line frequency by adaptation. Higher frequency applications have limitations since the computational complexity of these analyzers are relatively high as the number of the harmonic components to be measured (or suppressed) is usually above 50. In this paper, based on the concept of transformed domain signal processing, a fast filter-bank structure is proposed to reduce the above computational complexity. The first step of the suggested solution is the application of the filter-bank version of the fast Fourier transform or any other fast transformations that convert input data into the transformed domain. These fast transform structures operate as single-input multiple-output filter-banks, however, they can not be adapted since their efficiency is due to their special symmetry. As a second step, the adaptation of the filter-bank is performed at the transform structure's output by adapting a simple linear combiner to the fundamental frequency of the periodic signal to be processed.

Original languageEnglish
Pages (from-to)1124-1128
Number of pages5
JournalIEEE Transactions on Instrumentation and Measurement
Volume47
Issue number5
DOIs
Publication statusPublished - 1998

Fingerprint

Fourier analysis
Filter banks
filters
Computational complexity
analyzers
Active noise control
Rotating machinery
vibration measurement
Vibration measurement
output
machinery
Fast Fourier transforms
signal processing
Signal processing
Calibration
harmonics
symmetry

Keywords

  • Adaptive Fourier analysis
  • Digital signal processing
  • Fast filter-banks
  • Fast recursive transformations
  • Transform-domain measurements

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Instrumentation

Cite this

A fast filter-bank for adaptive fourier analysis. / Várkonyi-Kóczy, A.; Simon, G.; Sujbert, László; Fék, Márk.

In: IEEE Transactions on Instrumentation and Measurement, Vol. 47, No. 5, 1998, p. 1124-1128.

Research output: Contribution to journalArticle

@article{f3a9447ef934426896f1cdcac46c65fc,
title = "A fast filter-bank for adaptive fourier analysis",
abstract = "Adaptive Fourier analyzers have been developed for measuring periodic signals with unknown or changing fundamental frequency. Typical applications are vibration measurements and active noise control related to rotating machinery and calibration equipment that can avoid the changes of the line frequency by adaptation. Higher frequency applications have limitations since the computational complexity of these analyzers are relatively high as the number of the harmonic components to be measured (or suppressed) is usually above 50. In this paper, based on the concept of transformed domain signal processing, a fast filter-bank structure is proposed to reduce the above computational complexity. The first step of the suggested solution is the application of the filter-bank version of the fast Fourier transform or any other fast transformations that convert input data into the transformed domain. These fast transform structures operate as single-input multiple-output filter-banks, however, they can not be adapted since their efficiency is due to their special symmetry. As a second step, the adaptation of the filter-bank is performed at the transform structure's output by adapting a simple linear combiner to the fundamental frequency of the periodic signal to be processed.",
keywords = "Adaptive Fourier analysis, Digital signal processing, Fast filter-banks, Fast recursive transformations, Transform-domain measurements",
author = "A. V{\'a}rkonyi-K{\'o}czy and G. Simon and L{\'a}szl{\'o} Sujbert and M{\'a}rk F{\'e}k",
year = "1998",
doi = "10.1109/19.746568",
language = "English",
volume = "47",
pages = "1124--1128",
journal = "IEEE Transactions on Instrumentation and Measurement",
issn = "0018-9456",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "5",

}

TY - JOUR

T1 - A fast filter-bank for adaptive fourier analysis

AU - Várkonyi-Kóczy, A.

AU - Simon, G.

AU - Sujbert, László

AU - Fék, Márk

PY - 1998

Y1 - 1998

N2 - Adaptive Fourier analyzers have been developed for measuring periodic signals with unknown or changing fundamental frequency. Typical applications are vibration measurements and active noise control related to rotating machinery and calibration equipment that can avoid the changes of the line frequency by adaptation. Higher frequency applications have limitations since the computational complexity of these analyzers are relatively high as the number of the harmonic components to be measured (or suppressed) is usually above 50. In this paper, based on the concept of transformed domain signal processing, a fast filter-bank structure is proposed to reduce the above computational complexity. The first step of the suggested solution is the application of the filter-bank version of the fast Fourier transform or any other fast transformations that convert input data into the transformed domain. These fast transform structures operate as single-input multiple-output filter-banks, however, they can not be adapted since their efficiency is due to their special symmetry. As a second step, the adaptation of the filter-bank is performed at the transform structure's output by adapting a simple linear combiner to the fundamental frequency of the periodic signal to be processed.

AB - Adaptive Fourier analyzers have been developed for measuring periodic signals with unknown or changing fundamental frequency. Typical applications are vibration measurements and active noise control related to rotating machinery and calibration equipment that can avoid the changes of the line frequency by adaptation. Higher frequency applications have limitations since the computational complexity of these analyzers are relatively high as the number of the harmonic components to be measured (or suppressed) is usually above 50. In this paper, based on the concept of transformed domain signal processing, a fast filter-bank structure is proposed to reduce the above computational complexity. The first step of the suggested solution is the application of the filter-bank version of the fast Fourier transform or any other fast transformations that convert input data into the transformed domain. These fast transform structures operate as single-input multiple-output filter-banks, however, they can not be adapted since their efficiency is due to their special symmetry. As a second step, the adaptation of the filter-bank is performed at the transform structure's output by adapting a simple linear combiner to the fundamental frequency of the periodic signal to be processed.

KW - Adaptive Fourier analysis

KW - Digital signal processing

KW - Fast filter-banks

KW - Fast recursive transformations

KW - Transform-domain measurements

UR - http://www.scopus.com/inward/record.url?scp=0032179125&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032179125&partnerID=8YFLogxK

U2 - 10.1109/19.746568

DO - 10.1109/19.746568

M3 - Article

AN - SCOPUS:0032179125

VL - 47

SP - 1124

EP - 1128

JO - IEEE Transactions on Instrumentation and Measurement

JF - IEEE Transactions on Instrumentation and Measurement

SN - 0018-9456

IS - 5

ER -