A reformulation of the Werner deconvolution algorithm using the analyt
ic signal is extended to multiple source bodies. The extended algorith
m involves solving a linear least-squares problem; the coefficients so
obtained determine a complex polynomial whose roots define the locati
ons and depths of the body contacts. The extended algorithm has been u
sed to map the structure of the Cobb offset zone of the Juan de Fuca R
idge from aeromagnetic data; both the top and bottom of the spreading
center basalts can be delineated. Connections between the multiple-sou
rce Werner technique and CompuDepthTM are discussed.