Accuracy Improvement of Instantaneous Frequency Estimation by Finite Order FIR Hilbert Transformer Using Notch Filter

Keisuke Takao, Takahiro Natori, Toma Miyata, Naoyuki Aikawa

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Frequency estimation is used in a wide range of areas such as radar, telecommunications, voice analysis and weight measurement using tuning fork sensor. This paper describes an instantaneous frequency (IF) estimation method. The original signal combined with the Hilbert transform form a complex analytic signal. The phase of the analytic signal is defined as the instantaneous phase and the time derivative of its phase IF. However, the amplitude of the signal obtained by phase-shifting the input signal by 90 degrees is different from that of the input signal because a ripple is generated in the frequency characteristics of the finite-order finite impulse response (FIR) Hilbert transformer (HT). As a result, errors are contained in the IF. In this paper, we propose a highly accurate IF estimation method using a notch filter. It is shown analytically that a harmonic frequency component is included in the IF obtained by using a finite-order FIR HT. Then, it is shown that the accurate instantaneous frequency can be obtained by removing the harmonic frequency component using an infinite impulse response (IIR) notch filter. Finally, the effectiveness of the proposed method is shown in simulations.

Original languageEnglish
Title of host publication2020 9th International Conference on Modern Circuits and Systems Technologies, MOCAST 2020
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728166872
DOIs
Publication statusPublished - Sep 2020
Event9th International Conference on Modern Circuits and Systems Technologies, MOCAST 2020 - Bremen, Germany
Duration: 7 Sep 20209 Sep 2020

Publication series

Name2020 9th International Conference on Modern Circuits and Systems Technologies, MOCAST 2020

Conference

Conference9th International Conference on Modern Circuits and Systems Technologies, MOCAST 2020
CountryGermany
CityBremen
Period7/09/209/09/20

Keywords

  • frequency estimation
  • Hilbert transform
  • instantaneous frequency
  • notch filter

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