Patent ID: 7358891

Claim:
A method comprising determining the azimuth and elevation to an aircraft at long range and transmitting an electromagnetic signal while flying at a low altitude above water, wherein the signal is received using a plurality of vertically polarized antennas and horizontally polarized antennas in an antenna array, wherein the received signal is received directly from the aircraft and is received via multi-path reflections from the surface of the water, wherein the azimuth and elevation to the aircraft are defined by a conjugate gradient based correlation search of covariance matrices containing the signals received by the vertically polarized antennas and the horizontally polarized antennas in digitized form representing the real and imaginary components of the received signal, and wherein the following equation is used to process the digitized information stored in the covariance matrices is searched to find the azimuth and elevation to the aircraft using the equation:  R ⁡ ( α , β )  2 = ∑ na = 1 N ⁢  { ρ d × A pol ⁡ ( α , β , na ) + ρ r × A pol ⁡ ( - α + Δα , β + Δβ , na ) } * × U pol ⁡ ( na )  2 ∑ na = 1 N ⁢  { ρ d × A pol ⁡ ( α , β , na ) + ρ r × A pol ⁡ ( - α + Δα , β + Δβ , na ) }  2 × ∑ na = 1 N ⁢  U pol ⁡ ( na )  2 where |R(α,β)| 2 is the correlation squared and the maximum value is searched for during the conjugate gradient based correlation search, α is the elevation angle to the aircraft transmitting the signal, β is the azimuth angle to the aircraft transmitting the signal, ρ d is the direct complex coefficient, ρ r is the reflected complex coefficient, * is a complex conjugate, na is the number of antennas in the beam forming array utilized to receive the signals transmitted by the aircraft, A pol are calibration vectors as a function of α and β, and U pol is the eigenvector resolved received signal vector and is composed of the directly received signal component and the reflected signal component and is equal the sum of the eigenvectors of the signals from the vertically polarized antennas and the horizontally polarized antennas.