Homer Bucker
NCCOSC, RTDE Div., Code 541, San Diego, CA 92152-5001
A simple matched-field tracking algorithm is proposed for transit
detection of acoustic sources in shallow water. Let A and B represent the end
points of a track. A track correlation function, C[sub AB], is calculated using
the formula C[sub AB]=(summation)[sub f](summation)[sub t]{(Re (summation)[sub
l](gamma)[sub l](gamma)[sub l][sup *])/[((summation)[sub l](gamma)[sub
l](gamma)[sub l][sup *])((summation)(gamma)[sub l](gamma)[sub l][sup *])]}. In
the equation above, the indices f, t, and l are for different frequencies, time
periods, and sensor pairs, respectively, and the * denotes complex conjugate.
The term (gamma) is the short period time average of the j,k element of the
covariance matrix. That is, (gamma)[sub l]=