Hilbert transform of voltammetric data

M. Arundell, B.A. Patel, Mark Yeoman, K.H. Parker, D. O'Hare

Research output: Contribution to journalArticle

Abstract

The use of the fast Fourier transform (FFT) assumes stationarity and, in many applications, linearity; assumptions that are often invalid in the analysis of voltammetric data. Empirical mode decomposition followed by the Hilbert transform offers an alternative mode of analysis that can overcome these difficulties. The validity of the Hilbert transform for the analysis of non-linear signals merits application to electrochemistry which, to our knowledge, has not been carried out before. Preliminary results, for three well-characterised redox processes: (i) a thermodynamically reversible electron transfer; (ii) formation of a passivating layer; (iii) growth of an oxide layer on an electrode surface, suggest that it can provide useful and novel insights into electrochemical processes. A less well-characterised process, the adsorption of 5-hydroxytryptamine (5-HT) oxidation products on the surface of a glassy carbon electrode, is also investigated using the Hilbert transform.
Original languageEnglish
Pages (from-to)366-372
Number of pages7
JournalElectrochemistry Communications
Volume6
Issue number4
Publication statusPublished - Apr 2004

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Electrodes
Glassy carbon
Electrochemistry
Fast Fourier transforms
Oxides
Serotonin
Decomposition
Adsorption
Oxidation
Electrons
Oxidation-Reduction

Keywords

  • Hilbert transform
  • Sinusoidal perturbations
  • 5-Hydroxytryptamine (5-HT)
  • Non-linear
  • Non-stationary
  • Instantaneous frequency

Cite this

Arundell, M., Patel, B. A., Yeoman, M., Parker, K. H., & O'Hare, D. (2004). Hilbert transform of voltammetric data. Electrochemistry Communications, 6(4), 366-372.
Arundell, M. ; Patel, B.A. ; Yeoman, Mark ; Parker, K.H. ; O'Hare, D. / Hilbert transform of voltammetric data. In: Electrochemistry Communications. 2004 ; Vol. 6, No. 4. pp. 366-372.
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Arundell, M, Patel, BA, Yeoman, M, Parker, KH & O'Hare, D 2004, 'Hilbert transform of voltammetric data', Electrochemistry Communications, vol. 6, no. 4, pp. 366-372.

Hilbert transform of voltammetric data. / Arundell, M.; Patel, B.A.; Yeoman, Mark; Parker, K.H.; O'Hare, D.

In: Electrochemistry Communications, Vol. 6, No. 4, 04.2004, p. 366-372.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Hilbert transform of voltammetric data

AU - Arundell, M.

AU - Patel, B.A.

AU - Yeoman, Mark

AU - Parker, K.H.

AU - O'Hare, D.

PY - 2004/4

Y1 - 2004/4

N2 - The use of the fast Fourier transform (FFT) assumes stationarity and, in many applications, linearity; assumptions that are often invalid in the analysis of voltammetric data. Empirical mode decomposition followed by the Hilbert transform offers an alternative mode of analysis that can overcome these difficulties. The validity of the Hilbert transform for the analysis of non-linear signals merits application to electrochemistry which, to our knowledge, has not been carried out before. Preliminary results, for three well-characterised redox processes: (i) a thermodynamically reversible electron transfer; (ii) formation of a passivating layer; (iii) growth of an oxide layer on an electrode surface, suggest that it can provide useful and novel insights into electrochemical processes. A less well-characterised process, the adsorption of 5-hydroxytryptamine (5-HT) oxidation products on the surface of a glassy carbon electrode, is also investigated using the Hilbert transform.

AB - The use of the fast Fourier transform (FFT) assumes stationarity and, in many applications, linearity; assumptions that are often invalid in the analysis of voltammetric data. Empirical mode decomposition followed by the Hilbert transform offers an alternative mode of analysis that can overcome these difficulties. The validity of the Hilbert transform for the analysis of non-linear signals merits application to electrochemistry which, to our knowledge, has not been carried out before. Preliminary results, for three well-characterised redox processes: (i) a thermodynamically reversible electron transfer; (ii) formation of a passivating layer; (iii) growth of an oxide layer on an electrode surface, suggest that it can provide useful and novel insights into electrochemical processes. A less well-characterised process, the adsorption of 5-hydroxytryptamine (5-HT) oxidation products on the surface of a glassy carbon electrode, is also investigated using the Hilbert transform.

KW - Hilbert transform

KW - Sinusoidal perturbations

KW - 5-Hydroxytryptamine (5-HT)

KW - Non-linear

KW - Non-stationary

KW - Instantaneous frequency

M3 - Article

VL - 6

SP - 366

EP - 372

JO - Electrochemistry Communications

JF - Electrochemistry Communications

SN - 1388-2481

IS - 4

ER -

Arundell M, Patel BA, Yeoman M, Parker KH, O'Hare D. Hilbert transform of voltammetric data. Electrochemistry Communications. 2004 Apr;6(4):366-372.