Optimum array filters for array data signal processing

This paper deals with the design of filters for processing data obtained from arrays of sensors used for signal measurements in a variety of applications. The objective of the filters is to optimally suppress undesired signals intercepting the array while at the same time preserve the desired signal that the array is attempting to measure. A constrained minimization problem is formulated for determining the filters coefficients and the computational requirements necessary for designing and applying the filters are kept to a minimum. When compared to the widely used delay-and-sum and Chebyshev methods, this technique is shown to have a superior frequency reject response which becomes more apparent if the array has a relatively small number of sensors.

[1]  M. R. Foster,et al.  Optimum multichannel velocity filters , 1968 .

[2]  R. J. Watson,et al.  DESIGN OF SUB‐OPTIMUM FILTER SYSTEMS FOR MULTI‐TRACE SEISMIC DATA PROCESSING* , 1964 .

[3]  M. Simaan,et al.  Optimum suppression of coherent signals with linear moveout in seismic data , 1984 .

[4]  J. Burg.  THREE‐DIMENSIONAL FILTERING WITH AN ARRAY OF SEISMOMETERS , 1964 .

[5]  Milo M. Backus,et al.  WIDE‐BAND VELOCITY FILTERING—THE PIE‐SLICE PROCESS , 1963 .

[6]  David K. Cheng,et al.  Optimization techniques for antenna arrays , 1971 .

[7]  W. G. Clement.  BASIC PRINCIPLES OF TWO‐DIMENSIONAL DIGITAL FILTERING * , 1973 .

[8]  Ralph A. Wiggins.  omega-k FILTER DESIGN* , 1966 .

[9]  Paul C. Wuenschel.  THE VERTICAL ARRAY IN REFLECTION SEISMOLOGY—SOME EXPERIMENTAL STUDIES , 1976 .

[10]  D G Childers,et al.  Frequency-wavenumber spectrum analysis of EEG multielectrode array data. , 1974, IEEE transactions on bio-medical engineering.

[11]  Mark Holzman.  CHEBYSHEV OPTIMIZED GEOPHONE ARRAYS , 1963 .

[12]  L. C. Wood,et al.  Seismic signal processing , 1975, Proceedings of the IEEE.

[13]  D.E. Dudgeon,et al.  Fundamentals of digital array processing , 1977, Proceedings of the IEEE.

[14]  S. Treitel,et al.  Some aspects of fan filtering , 1967 .

[15]  Michael Schoenberger.  OPTIMIZATION AND IMPLEMENTATION OF MARINE SEISMIC ARRAYS , 1970 .

[16]  E. J. Kelly,et al.  A Comparison of Seismic Array Processing Methods , 1966 .

[17]  O. L. Frost,et al.  An algorithm for linearly constrained adaptive array processing , 1972 .

[18]  K. Peacock,et al.  On the practical design of discrete velocity filters for seismic data processing , 1982 .

[19]  John L. Allen.  Array antennas: New applications for an old technique , 1964, IEEE Spectrum.