Methods and arrangements for signal reception and parameter estimation

A methodd of locating signal sources and estimating source parameters comprising the following steps:

• (a) providing an array of at least one group of a plurality of signal sensor pairs, the sensors in each pair being identical and the displacement between sensors of each pair in a group being equal, thereby defining two subarrays (X and Y),
• (b) obtaining signal measurements with the sensor array so configured, and
• (c) processing said signal measurements from said two subarrays (X and Y) to identify the number of sources and estimate parameters thereof, including a generalized singular value decomposition of data matrices comprising
• forming the matrix Z from the available measurements,
• computing the generalized singular value decomposition (GSVD) of ##EQU26## obtaining the signal subspace estimate S.sub.Z =span E.sub.Z where ##EQU27## computing the singular value decomposition (SVD) of ##EQU28## calculating the eigenvalues of
• .PHI..sub.k =.lambda..sub.k (-V.sub.XY V.sub.YY.sup.-1),
• and
• estimating the signal parameters .theta..sub.k =f.sup.-1 (.PHI..sub.k).

For use in locating signal sources and estimating source parameters, apparatus for measuring signals from said sources comprising

• an array of at least one group of a plurality of signal sensor pairs for generating signals, the sensors in each pair being identical and the displacement between sensors of each pair in a group being equal, thereby defining two subarrays (X and Y), and
• signal processing means for processing said signals from said two subarrays (X and Y) to identify the number of sources and estimate parameters thereof, wherein said signal processing means
• obtains an estimate of R.sub.ZZ, denoted R.sub.ZZ, from the measurements available,
• computes the generalized eigen-decomposition
• R.sub.ZZ E=.SIGMA..sub.n E.LAMBDA.,
• obtains the signal subspace estimate S.sub.Z =span E.sub.Z where ##EQU29## computes the eigendecomposition ##EQU30## partitions E into d.times.d submatrices ##EQU31## calculates the eigenvalues
• .PHI..sub.k =.lambda..sub.k (-E.sub.12 E.sub.22.sup.-1), k=1, . . . ,d
• estimates the signal parameters .theta..sub.k =f.sup.-1 (.PHI..sub.k).