KMID : 0372919890100030323
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Journal of Biomedical Engineering Research 1989 Volume.10 No. 3 p.323 ~ p.329
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Error Analysis Casued by Using the Dftin Numertical Evaluation of Rayleigh¡¯s Integral
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Abstract
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Large bias errors which occur during a numerical evaluation of the Rayleigh¡¯¡¯¡¯¡¯s integral is not due to the replicated source problem but due to the coincidence of singularities of the Green¡¯¡¯¡¯¡¯s function and the sampling points in Fourier domain. We found that there is no replicated source problem in evaluating the Rayleigh¡¯¡¯¡¯¡¯s integral numerically by the reason of the periodic assumption of the input sequence in Dn or by the periodic sampling of the Green¡¯¡¯¡¯¡¯s function in the Fourier domain. The wrap around error is not due to an overlap of the individual adjacent sources but berallse of the undersampling of the Green¡¯¡¯¡¯¡¯s function in the frequency domain. The replicated and overlApped one is inverse Fourier transformed Green¡¯¡¯¡¯¡¯s function rather than the source function.
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KEYWORD
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