Journal of Signal and Information Processing

Volume 1, Issue 1 (November 2010)

ISSN Print: 2159-4465   ISSN Online: 2159-4481

Google-based Impact Factor: 1.19  Citations  

Computation of Hilbert Transform via Discrete Cosine Transform

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DOI: 10.4236/jsip.2010.11002    9,151 Downloads   17,782 Views  Citations

Affiliation(s)

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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 decomposition. 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 mechanical vibration and ultrasonic echo and transmission measurements.

Share and Cite:

H. Olkkonen, P. Pesola and J. Olkkonen, "Computation of Hilbert Transform via Discrete Cosine Transform," Journal of Signal and Information Processing, Vol. 1 No. 1, 2010, pp. 18-23. doi: 10.4236/jsip.2010.11002.

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