A COMPARISON OF SEISMIC ARRAY PROCESSING SCHEMES
MASSACHUSETTS INST OF TECH LEXINGTON LINCOLN LAB
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It is the purpose in this note to discuss three of the many approaches to seismic array processing from the theoretical point of view. The three are 1 maximumlikelihood processing, 2 the minimum-variance, unbiased estimator MVU approach used by Levin, and 3 multichannel Wiener filtering. A feature common to these techniques is the formation of a single output waveform which serves as an estimator of the unknown signal coming from a fixed direction. We refer to such an output as a beam. It will be shown that 1 reduces to 2 in the case of gaussian noise and known signal parameters i.e., known epicenter and that 3 is related very simply to 2. In fact, the Wiener filtering output can be obtained directly from the MVU output. Both the sampleddata and continuous-time cases are treated. The note contains no new results.