ELECTRODE IMPEDANCE MEASUREMENTS BY TIME DOMAIN METHOD Ⅰ. THE PRINCIPLE OF SPLINE FUNCTION INTERPOLATION

J Chin Soc Corr Pro

1992, Vol. 12

Issue (4): 327-334 DOI:

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ELECTRODE IMPEDANCE MEASUREMENTS BY TIME DOMAIN METHOD Ⅰ. THE PRINCIPLE OF SPLINE FUNCTION INTERPOLATION

Wang Huixiang and Shu Yude(Central South University of Technology)

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Abstract In thes paper cubic spline interpolation of equidistant samples is employed for the numerical execution of Fourier transform to perform the transformation from the time domain into the frequency domain, and interracial impedance of electrochemical system can be determined. The interpolation procedure is performed implicitly by weighting discrete Fourier transform(DFT) coefficients with A_3(ω) as follows (?)(ω)=A_3(ω)·(?)(ω)+B_0(ω) (?)(ω) being DFT and B_0(ω) additive terms. In this way the aliasing effect of DFT spectrum and limitation by sampling theorem can be eliminated. So (?)(ω) is nonperiodical as being the Fourier transform of a continuous function, and the frequency range of (?)(ω) is not limited. The approximation error of numerical Fourier transform is only produced by that cubic spline interpolation. So it is one of the most accurate methods to measure the "ac impedance" in time domain at present. As it is proved in another paper, the linear approximation by Laplace transform in literature is only the case of m=1 for the m-th order spline interpolation via DFT.

Received: 25 August 1992

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Wang Huixiang and Shu Yude(Central South University of Technology). ELECTRODE IMPEDANCE MEASUREMENTS BY TIME DOMAIN METHOD Ⅰ. THE PRINCIPLE OF SPLINE FUNCTION INTERPOLATION. J Chin Soc Corr Pro, 1992, 12(4): 327-334.

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https://www.jcscp.org/EN/ OR https://www.jcscp.org/EN/Y1992/V12/I4/327

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