Convolution Filtering at Ends of Data Sets

B. David Johnson

doi:10.1071/EG971411

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

Convolution Filtering at Ends of Data Sets
Authors B. David Johnson
Publisher: Australian Society of Exploration Geophysicists
Source: Exploration Geophysics, Volume 2, Issue 4, Oct 1971, p. 11 - 24
DOI: https://doi.org/10.1071/EG971411
- Published online: 01 Oct 1971

Abstract

Convolution filters are normally applied to data sets in one of two modes. The first is to terminate the operation, at a distance equal to half the filter length from the ends of the data. This results in loss of information. The second is to run the filter off the end of the data set, by adding sufficient zeros to the ends of the data.

The effects of this second method are shown to be serious, in cases where there is significant information in the ends of the data set. An alternative method is proposed in which the convolution operator is modified when operating on the end portion of the data.

Article metrics loading...

/content/journals/10.1071/EG971411

1971-10-01

2026-01-15

From This Site

/content/journals/10.1071/EG971411

dcterms_title,dcterms_subject,pub_keyword

-contentType:Journal -contentType:Contributor -contentType:Concept -contentType:Institution

10

5

Full text loading...

References

Bracewell, R., 1965 The Fourier Transform and its Applications, McGraw Hill, New York.
Cooley, J.W., & Tukey, J.W., 1965 An algorithm for the machine calculation of complex Fourier series, Math, of Comp., 19, 297-301.
Finney, W., & Shelley, E.P., 1967 Tasmanian Aeromagnetic Survey, 1966, Rec.Bur.Min.Res., Canberra, No. 1967/19 (unpublished).
Johnson, B.D., 1970 Spectral analysis of long line aeromagnetic profiles (abstract), in the Proceedings of the International Conference on Geophysics of the Earth and Oceans, Sydney, 1970.(Eds. Johnson, Henderson & Hall), Geoexplo ration, 8.
Lanczos, C., 1959 Applied Analysis, Pitman, London.

/content/journals/10.1071/EG971411

Article Type: Research Article

Most Cited This Month Most Cited RSS feed

- A comparison of smooth and blocky inversion methods in 2D electrical imaging surveys
  
  Authors M.H. Loke, Ian Acworth and Torleif Dahlin
- Reverse-Time Migration using the Poynting Vector
  
  Authors Kwangjin Yoon and Kurt J. Marfurt
- SkyTEM–a New High-resolution Helicopter Transient Electromagnetic System
  
  Authors K. I. Sorensen and Esben Auken
- An overview of a highly versatile forward and stable inverse algorithm for airborne, ground-based and borehole electromagnetic and electric data
  
  Authors Esben Auken, Anders Vest Christiansen, Casper Kirkegaard, Gianluca Fiandaca, Cyril Schamper, Ahmad Ali Behroozmand, Andrew Binley, Emil Nielsen, Flemming Effersø, Niels Bøie Christensen, Kurt Sørensen, Nikolaj Foged and Giulio Vignoli
- The Fast Marching Method: An Effective Tool for Tomographic Imaging and Tracking Multiple Phases in Complex Layered Media
  
  Authors Nicholas Rawlinson and Malcolm Sambridge
- 3-D Analytic Signal in the Interpretation of Total Magnetic Field Data at Low Magnetic Latitudes
  
  Authors Ian N. MacLeod, Keith Jones and Ting Fan Dai
- CMP cross-correlation analysis of multi-channel surface-wave data
  
  Authors Koichi Hayashi and Haruhiko Suzuki
- A new direct non-invasive groundwater detection technology for Australia
  
  Authors M. Schirov, A. Legchenko and G. Creer
- 3D inversion of airborne electromagnetic data using a moving footprint
  
  Authors Leif H. Cox, Glenn A. Wilson and Michael S. Zhdanov
- Notes On Rock Magnetization Characteristics In Applied Geophysical Studies
  
  Authors D. A. Clark and J. B. Emerson
More Less

Convolution Filtering at Ends of Data Sets

Abstract

Most Read This Month

Most Cited This Month Most Cited RSS feed