1887
Volume 19 Number 4
  • E-ISSN: 1365-2478

Abstract

A

Two distinct filters are developed in the frequency domain which represent an attempt to increase the resolution of fine structure contained in the signal whilst keeping the expected filtered noise energy within reasonable bounds. A parameter termed the is defined and used together with a measure of the deconvolved pulse width in order to provide a more complete characterisation of the filters. Each of the two main types of frequency domain filters discussed varies in properties with respect to a single adjustable parameter. This may be contrasted with a time domain Wiener filter which in general has three variables: length, delay and an adjustable noise parameter or weight. The direct frequency domain analogue of the Wiener filter is termed a gamma‐Fourier filter, and is shown to have properties which span the range from those of a spiking filter with zero least square error at one extreme, to those of a matched filter at the other extreme of its variable parameter's range. The second type of filter considered—termed the modulated Gaussian filter—is similarly shown to be a perfect spiking filter at one extreme of its parameter range, but adopts the properties of an output energy filter at the other extreme.

Loading

Article metrics loading...

/content/journals/10.1111/j.1365-2478.1971.tb00914.x
2006-04-27
2020-09-21
Loading full text...

Full text loading...

References

  1. Cooley, J. W., Lewis, P. W. and Welch, P. D., 1697, The Fast Fourier Transform Algorithm and its Applications IBM Research Paper, RC‐1743, IBM Watson Research Centre, Yorktown Heights, New York.
  2. Cooley, J. W., 1967, Applications of the Fast Fourier Transform Method Proceeding of the I.B.M. Scientific Computing Symposium. Watson Research Centre.
  3. Dash, B. P., Obaidullah, K. A., 1970, Determination of Signal and Noise Statistics Using Correlation Theory, Geophysics35, 24.
    [Google Scholar]
  4. Hildebrand, F. B., 1952, Methods of Applied Mathematics, New York , Prentice Hall Inc.
    [Google Scholar]
  5. Ostrander, J., 1966, Spectral Estimation of Signal and Noise Power and Power Ratios for Reflection Seismograms. M. Sc. Thesis; Pennsylvania State University.
  6. Robinson, E. A., 1967, Statistical Communication and Detection with Special Reference to Digital Data Processing of Radar and Seismic Signals Griffin and Co. Ltd.
  7. Robinson, E. A., Treitel, S., 1966, The Design of High‐Resolution Digital Filters IEEE Transactions on Geoscience Electronics, GE‐4.
  8. Robinson, E. A., Treitel, S., 1969, Optimum Digital Filters for Signal to Noise Ratio Enhancement, Geophy. Prosp.17, 248–293.
    [Google Scholar]
  9. Wang, R. J., 1969, The Determination of Optimum Gate Lengths for Time‐Varying Deconvolution, Geophysics34, 685–695.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/j.1365-2478.1971.tb00914.x
Loading
  • Article Type: Research Article
This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error