A new 3-dimensional joint estimation method is presented.With a single echo wave
bearings
frequencies
and time-delays of multiple reflectors are estimated jointly.We construct 2 sub-arrays like ESPRIT
and then make a generalized eigen-decomposition on their auto-correlation matrix and cross-correlation matrix.Bearing parameters can be estimated from eigenvalues
while frequency parameters can be obtained from corresponding eigenvectors.Having modified the time-delay vectors of enveloping with estimated frequencies
we can get the time-delay parameters simultaneously.Computer simulations show that the proposed method can carry out the 3-dimensional joint estimation without additional pairing algorithm in the case of lower SNR.Preferable results are also obtained in water tank experiments
indicating the method is robust for sensor array errors