Frequency Dependent Estimation and Detection for Seismic Arrays

Abstract : A frequency dependent detection and estimation procedure based on the generalized likelihood principle is applied to several models appropriate for vertical and horizontal seismic arrays. When data is constructed so as to conform to the idealized model excellent agreement with theoretical detection limits is shown. Multiple signal models are analyzed in the frequency domain with the presence of various signal components central and non-central F distribution are used to determine false alarm and signal detection probabilities. A number of examples using real seismic data are presented.