Research Papers

Mixed-Signal Fourier Transform for Electrochemical Impedance Spectroscopy

[+] Author and Article Information
Noboru Katayama

e-mail: katayama@rs.tus.ac.jp

Sumio Kogoshi

e-mail: kogoshi@ee.noda.tus.ac.jp
Department of Electrical Engineering,
Faculty of Science and Technology,
Tokyo University of Science,
2641 Yamazaki, Noda,
Chiba 278-8510, Japan

1Corresponding author.

Contributed by the Advanced Energy Systems Division of ASME for publication in the JOURNAL OF FUEL CELL SCIENCE AND TECHNOLOGY. Manuscript received September 13, 2012; final manuscript received December 5, 2012; published online January 15, 2013. Editor: Nigel M. Sammes.

J. Fuel Cell Sci. Technol 10(1), 011006 (Jan 15, 2013) (5 pages) Paper No: FC-12-1094; doi: 10.1115/1.4023219 History: Received September 13, 2012; Revised October 05, 2012

The mixed-signal Fourier-transform (FT) method for the electrochemical impedance spectroscopy (EIS) measurement has been developed to reduce both memory space and calculation time for computer-aided FT. In the conventional method, the FT is performed twice for the voltage and current signal. The proposed method combines the voltage and current signal, and the combined signal is Fourier transformed to obtain a spectrum function. The electrochemical impedance is extracted from the spectrum function. To validate the proposed method, EIS measurement for a polymer electrolyte membrane fuel cell was conducted with both the proposed method and a commercial impedance analyzer. The results obtained from these two methods agree in the magnitude and argument of the impedance.

© 2013 by ASME
Your Session has timed out. Please sign back in to continue.


Smith, D. E., 1976, “Data Processing in Electrochemistry,” Anal. Chem., 48(2), pp. 221–240 .
Stoynov, Z. B., 1992, “Rotating Fourier Transform—New Mathematical Basis for Non-Stationary Impedance Analysis,” Electrochim. Acta, 37(12), pp. 2357–2359. [CrossRef]
Bertocci, U., Frydman, J., Gabrielli, C., Huet, F., and Keddam, M., 1998, “Analysis of Electrochemical Noise by Power Spectral Density,” J. Electrochem. Soc, 145(8), pp. 2780–2786. [CrossRef]
Yoo, J. S., and Park, S. M., 2000, “An Electrochemical Impedance Measurement Technique Employing Fourier Transform,” Anal. Chem., 72(9), pp. 2035–2041. [CrossRef] [PubMed]
Bessler, W. G., 2007, “Rapid Impedance Modeling via Potential Step and Current Relaxation Simulations,” J. Electrochem. Soc, 154(11), p. B1186. [CrossRef]
Házi, J., Elton, D. M., Czerwinski, W. A., Schiewe, J., Vicente-Beckett, V. A., and BondA. M., 1997, “Microcomputer-Based Instrumentation for Multi-Frequency Fourier Transform Alternating Current (Admittance and Impedance) Voltammetry,” J. Electroanal. Chem., 437(1–2), pp. 1–15. [CrossRef]
Osaka, T., and Naoi, K., 1982, “Application of On-Line Impedance Measurement Using Fast Fourier Transform to Electrochemical Systems,” B. Chem. Soc. Jpn., 55(1), pp. 36–40. [CrossRef]
Mansfeld, F., Han, L., and Lee, C., 1996, “Analysis of Electrochemical Noise Data for Polymer Coated Steel in the Time and Frequency Domains,” J. Electrochem. Soc, 143(12), p. L286. [CrossRef]
Sawai, K., and Ohzuku, T., 1997, “A Method of Impedance Spectroscopy for Predicting the Dynamic Behavior of Electrochemical System and Its Application to a High-Area Carbon Electrode,” J. Electrochem. Soc, 144(3), p. 988. [CrossRef]
Chang, B. Y., Hong, S. Y., Yoo, J. S., and Park, S. M., 2006, “Determination of Electron Transfer Kinetic Parameters by Fourier Transform Electrochemical Impedance Spectroscopic Analysis,” J. Phys. Chem. B, 110(39), pp. 19386–19392. [CrossRef] [PubMed]
Gi Min, G., Ko, Y., Kim, T. H., Song, H. K., Bin Kim, S., and Park, S. M., 2011, “Fourier Transform Electrochemical Impedance Spectroscopic Studies on LiFePO4 Nanoparticles of Hollow Sphere Secondary Structures,” J. Electrochem. Soc, 158(12), p. A1267. [CrossRef]


Grahic Jump Location
Fig. 1

Mixed signal and two divided exponential signals

Grahic Jump Location
Fig. 2

Block diagram of the conventional method

Grahic Jump Location
Fig. 3

Block diagram of the proposed method

Grahic Jump Location
Fig. 4

Signal wave imposed to the PEMFC voltage, which contains sine waves of 1, 2, 3, 4, 6, 8, 12, 16, 24, 32th harmonics

Grahic Jump Location
Fig. 5

Voltage and current waveform sampled when the excitation signal was imposed (80  °C, 4.0/4.0 H2/air stoichiometry, serpentine flow)

Grahic Jump Location
Fig. 6

Spectrum of the (a) mixed signal, (b) voltage, and (c) current of the PEMFC when the excitation signal is imposed. Wave number indicates the multiple number of the base frequency. The dc components is specified by zero.

Grahic Jump Location
Fig. 7

Magnitude of the impedance for the PEMFC obtained from the proposed method (proposed) and the commercial impedance analyzer (reference)

Grahic Jump Location
Fig. 8

Argument of the impedance for the PEMFC obtained from the proposed method (proposed) and the commercial impedance analyzer (reference)

Grahic Jump Location
Fig. 9

Nyquist plot of the impedance for the PEMFC obtained from the proposed method (proposed) and the commercial impedance analyzer (reference)



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In