Design Data for Digital Butterworth Filters in Geophysical Data Processing

A. T. Spathis

doi:10.1071/EG983063

ISSN: 0812-3985
E-ISSN: 1834-7533

Design Data for Digital Butterworth Filters in Geophysical Data Processing
Authors A. T. Spathis^a
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^a Division of Applied GeomechanicsCommonwealth Scientific and Industrial Research Organization, P.O. Box 54, Mount Waverley, , vic, . 3149
Publisher: Australian Society of Exploration Geophysicists
Source: Exploration Geophysics, Volume 14, Issue 2, Jun 1983, p. 63 - 71
DOI: https://doi.org/10.1071/EG983063
- Published online: 01 Jun 1983

Abstract

The analysis of geophysical data by computer often includes post-processing with digital filters. Of particular interest are those digital filters which approximate ideal low pass, high pass, band pass or band reject responses. Design data are presented for digital filters which approximate a Butter-worth response. Low pass, high pass, band pass and band reject filters are discussed and it is shown that in general the nth order low pass Butterworth transfer function may be factorised with the denominator consisting of linear and/or quadratic factors. Simple frequency transformations permit the realisation of the associated high pass, band pass and band reject transfer functions for these factors. Application of the bilinear transformation yields the z transforms for these factors which, when used recursively, provide the desired filter response. Fortran computer programs are included and the performance limitations of the digital filters are illustrated by comparison with some ideal Butterworth responses.

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1983-06-01

2026-01-14

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References

Blair, D. P. & Spathis, A. T. (1980),‘Some aspects of digital filtering’, CSIRO, Aust., Div. Appl. Geomechanics, Technical Report No. 118.
Bracewell, R. (1965), The Fourier Transform and its Applications, McGraw-Hill, New York.
Guillemin, E. (1957), Synthesis of Passive Networks, John Wiley & Sons, New York.
Johnson, D. E. (1976), Introduction to Filter Theory, Prentice-Hall, Englewood Cliffs, N.J.
Kendall, M. (1976), Time Series, Charles Griffin & Co. Ltd., London.
Oppenheim, A. V. & Schafer, R.W. (1975), Digital Signal Processing, Prentice Hall, Englewood Cliffs, N.J.
Rabiner, L. R. & Gold, B. (1975), Theory and Applications of Digital Signal Processing, Prentice Hall, Englewood Cliffs, N.J.
Shanks, J. L. (1976), ‘Recursion Filters for Digital Processing’, Geophysics 32, 33-51.
Spathis, A. T., Blair, D. P. & Dekker, D. (1981), ‘Fortran computer programs for FFT spectral analysis of real data on an HP-1000 Minicomputer’, CSIRO, Aust., Div. Appl. Geomechanics Technical Report No. 120.

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Article Type: Research Article

Keyword(s): data processing; digital filtering; geophysical techniques

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Design Data for Digital Butterworth Filters in Geophysical Data Processing

Abstract

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