Computation of hilbert transform via discrete cosine transform

H. Olkkonen, P. Pesola, Juuso T. Olkkonen (Corresponding Author)

Research output: Contribution to journalArticleScientificpeer-review

Abstract

Hilbert transform (HT) is an important tool in constructing analytic signals for various purposes, such as envelope and instantaneous frequency analysis, amplitude modulation, shift invariant wavelet analysis and Hilbert-Huang decompo-sition. In this work we introduce a method for computation of HT based on the discrete cosine transform (DCT). We show that the Hilbert transformed signal can be obtained by replacing the cosine kernel in inverse DCT by the sine kernel. We describe a FFT-based method for the computation of HT and the analytic signal. We show the usefulness of the proposed method in mech anical vibration and ultrasonic echo and transmission measurements.
Original languageEnglish
Pages (from-to)18-23
JournalJournal of Signal and Information Processing
Volume2010
Issue number1
DOIs
Publication statusPublished - 2010
MoE publication typeA1 Journal article-refereed

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Discrete cosine transforms
Amplitude modulation
Wavelet analysis
Fast Fourier transforms
Vibrations (mechanical)
Ultrasonics

Keywords

  • Hilbert Transform, Analytic Signal, Envelope Analysis, FFT

Cite this

Olkkonen, H. ; Pesola, P. ; Olkkonen, Juuso T. / Computation of hilbert transform via discrete cosine transform. In: Journal of Signal and Information Processing. 2010 ; Vol. 2010, No. 1. pp. 18-23.
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Computation of hilbert transform via discrete cosine transform. / Olkkonen, H.; Pesola, P.; Olkkonen, Juuso T. (Corresponding Author).

In: Journal of Signal and Information Processing, Vol. 2010, No. 1, 2010, p. 18-23.

Research output: Contribution to journalArticleScientificpeer-review

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AU - Pesola, P.

AU - Olkkonen, Juuso T.

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