Array filters for attenuating coherence interference in the presence of random noise (original) (raw)

Abstract

Array filters are derived for processing recorded measurements of an array of sensors in order to extract a desired signal buried in a background of interfering coherent and random noises. The intersensor travel times and relative amplitudes of the coherent noise and the statistics of the random noise are assumed to be known. The derivation of the filters is done in two steps. First, the family of array filters which best attenuate the coherent noise and satisfy an allpass requirement for the desired signal is characterized. Second, the unique member (of array filters) in this family which best attenuates the random noise is determined. These filters are best suited for applications (such as in seismic signal processing) where the coherent noise is predominant over the random noise and, consequently, its suppression is more important.

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  20. Magdy T. Hanna (S'81-"85) received the B.S. degree (with honors) from Alexandria University, Alexandria, Egypt, in 1975, the M.S. degree from Cairo University, Cairo, Egypt, in 1980, and the M.S. and the Ph.D. degrees from the University t of Pittsburgh, Pittsburgh, PA, in 1983 and 1985, respectively, all in electrical engineering. From 1976 to 1980 he was a Research Assis- tant in the Planning Techniques Center of the In- stitute of National Planning, Cairo, Egypt. From 1981 to 1985 he was a Teaching Fellow in the Department of Electrical Engineering at the University of Pittsburgh. Dur- ing the summer of 1983 he worked as a Research Assistant at the Very Large Array Telescope of the National Radio Astronomy Observatory, So- corro, NM. Since September 1985 he has been a Visiting Assistant Pro- fessor in the Department of Electrical and Computer Engineering, Univer- sity of Iowa, Iowa City. His main area of interest in research is digital signal processing. Dr. Hanna is a member of Eta Kappa Nu and Sigma Xi, and an associate member of the Society of Exploration Geophysicists. He was recognized as a University Scholar by the University of Pittsburgh on its annual Hon- ors Day Convocation in 1985 for superior performance in the graduate pro- gram. Marwan Simaan (S'69-M'72-SM'79) received the B.E. degree (with distinction) from the Amer- ican University of Beirut, Lebanon, in 1968, the M.Sc. degree from the University of Pittsburgh, Pittsburgh, PA, in 1970, and the Ph.D. degree from the University of Illinois, Urbana-Cham- paign, in 1972, all in electrical engineering. During the summers of 1967 and 1972 he held summer positions with English Electric Leo Mar- coni Computers Ltd., England, and with Bell Laboratories, Columbus, OH, respectively. From 1972 to 1974 he was a Visiting Assistant Professor with the Coordinated Science Laboratory and the Department of Electrical Engineering at the University of Illinois. From 1974 to 1975 he was with Shell Development Company in Houston, TX, where he did research on seismic signal pro- cessing. Since 1976 he has been on the Faculty of the University of Pitts- burgh where he is presently a Professor of Electrical Engineering. From 1979 to 1985 he also sewed as a Technical Consultant to Gulf R & D Company in Pittsburgh, PA, working on problems in seismic signal pro- cessing. His research interests are mainly in the areas of digital signal pro- cessing, optimization, and control. He has contributed more than 90 arti- cles to books, journals, and conference proceedings. He has also edited two books, Vertical Seismic Projiles (1984) and Two-Dimensional Trans- forms (1985), in the series on "Advances in Geophysical Data Processing" (Greenwich, CT: JAI Press), for which he is the Series Editor. Dr. Simaan is an Associate Editor of the Journal of Optimization Theory and Applications. He is a member of the IEEE Publications Board. He is an Active member of the Society of Exploration Geophysicists, and a mem- her of the New York Academy of Sciences, Sigma Xi, Phi Eta Sigma, and Eta Kappa Nu. He is also a Registered Professional Engineer in Pennsyl- vania.