H. Gurrola et al., SIMULTANEOUS TIME-DOMAIN DECONVOLUTION WITH APPLICATION TO THE COMPUTATION OF RECEIVER FUNCTIONS, Geophysical journal international, 120(3), 1995, pp. 537-543
Receiver functions are produced by deconvolving the horizontal compone
nts of a seismogram by the vertical component. Typically this is perfo
rmed by spectral division of recordings of single events. Receiver fun
ctions from events with similar backazimuth and ray parameter are then
stacked to improve the signal-to-noise ratio. To avoid the subjective
and time-consuming method of prewhitening typically employed with spe
ctral division, we have cast the deconvolution in the time domain. By
performing the time-domain deconvolution as a regularized simultaneous
inversion for a group of events that would normally have been stacked
after deconvolution, we find that side lobes are reduced and resoluti
on is improved. Furthermore, the regularized inversion allows the user
to choose among a variety of objective model norms. In this paper, we
present results from inversions employing the L(2) norm and lower-bou
nded least squares.