Hilbert transform of voltammetric data

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

Research output: Contribution to journalArticlepeer-review


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
Issue number4
Publication statusPublished - Apr 2004


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


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