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Hilbert transform of voltammetric data

Hilbert transform of voltammetric data
Hilbert transform of voltammetric data
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
hilbert transform, sinusoidal perturbations, 5-Hydroxytryptamine (5-HT, non-linear, non-stationary, instantaneous frequency
1388-2481
366-372
Arundell, Martin
e24d3405-a436-4d65-a6e4-2939ede79678
Patel, Bhavik Anil
de7efff5-f5df-444d-b31d-5cd774ab7c7c
Yeoman, Mark S.
0f313a79-c8f9-4b0e-8c95-6321ad5c52b2
Parker, Kim H.
9e87c3a6-5f17-4681-ba96-2c62f2817fb5
O'Hare, Danny
7c94a94e-383c-45de-9d89-cba323416c6b
Arundell, Martin
e24d3405-a436-4d65-a6e4-2939ede79678
Patel, Bhavik Anil
de7efff5-f5df-444d-b31d-5cd774ab7c7c
Yeoman, Mark S.
0f313a79-c8f9-4b0e-8c95-6321ad5c52b2
Parker, Kim H.
9e87c3a6-5f17-4681-ba96-2c62f2817fb5
O'Hare, Danny
7c94a94e-383c-45de-9d89-cba323416c6b

Arundell, Martin, Patel, Bhavik Anil, Yeoman, Mark S., Parker, Kim H. and O'Hare, Danny (2004) Hilbert transform of voltammetric data. Electrochemistry Communications, 6 (4), 366-372. (doi:10.1016/j.elecom.2004.02.003).

Record type: Article

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

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More information

Published date: April 2004
Keywords: hilbert transform, sinusoidal perturbations, 5-Hydroxytryptamine (5-HT, non-linear, non-stationary, instantaneous frequency

Identifiers

Local EPrints ID: 155847
URI: http://eprints.soton.ac.uk/id/eprint/155847
ISSN: 1388-2481
PURE UUID: 64e793aa-fabe-470e-aa89-1dafc04dc8c5

Catalogue record

Date deposited: 02 Jul 2010 14:31
Last modified: 16 Jul 2019 23:57

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