U. Send, PEAK TRACKING BY SIMULTANEOUS INVERSION - TOWARD A ONE-STEP ACOUSTIC TOMOGRAPHY ANALYSIS, Journal of atmospheric and oceanic technology, 13(5), 1996, pp. 1116-1122
A number of geophysical observing techniques, including ocean acoustic
tomography, obtain sequences of records of which the observed relativ
e maxima (''peaks'') are used to infer properties of the system via in
versions. Traditionally, these peaks First are tracked (followed from
one record to another) and identified separately, before they can be u
sed in an inversion scheme. In this paper, a method is presented for i
dentifying and tracking ensembles of such peaks in one step and simult
aneously with rile inversion. a priori information, in our case knowle
dge about the ocean, can thus be used to constrain the allowed peak id
entifications; enabling the usage of irregularly appearing or more clo
sely spaced peaks, The best identification is defined to be the one th
at upon inversion minimizes a cost function that involves data residua
l and smoothness in time, subject to two constraints bounding the solu
tion and residual size. For the presented cases, the minimum can be fo
und by simply trying inversions with all possible peak identifications
. Sample applications of thr method from an acoustic tomography experi
ment are shown in order to illustrate the approach and results.