The Application of Inverse Convolution Techniques to Improve Signal Response of Recorded Geophysical Data
- 1 November 1962
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IRE
- Vol. 50 (11) , 2313-2319
- https://doi.org/10.1109/jrproc.1962.288348
Abstract
The process of restoring signal resolution to data recorded from a sluggish measuring device may be accomplished by appropriate mathematical operations on the data using a large digital computer. Smoothing techniques may be applied in the transform domain to derive an inverse convolver to be used in real space. The inverse convolver, a non-physically realizable filter function, when convolved with the output of the device, restores high-frequency components necessary for sharp detail. Only knowledge of the impulse response of the device and the recorded data is required. In applications to data of the type found in many geophysical systems impressive results are obtained even in the presence of considerable random noise. This procedure represents a different approach to the approximation required by the process and has advantages in the ease and simplicity with which it may be applied.Keywords
This publication has 7 references indexed in Scilit:
- INVERSE CONVOLUTION FILTERSGeophysics, 1962
- The Theory of Crystal Structure AnalysisPublished by Springer Nature ,1961
- PREDICTIVE DECOMPOSITION OF SEISMIC TRACESGeophysics, 1957
- On the assessment of optical imagesPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1955
- WAVELET CONTRACTION, WAVELET EXPANSION, AND THE CONTROL OF SEISMIC RESOLUTIONGeophysics, 1953
- Calculation of the Correction for Instrumental Broadening in X-ray Diffraction LinesProceedings of the Physical Society. Section A, 1950
- A Numerical Fourier-analysis Method for the Correction of Widths and Shapes of Lines on X-ray Powder PhotographsProceedings of the Physical Society, 1948