Tensor-Based Methods for Blind Spatial Signature Estimation in Multidimensional Sensor Arrays

Algorithm 1

Summary of the ALS-Tucker algorithm.

() Initialize for and the core

  tensor randomly.

()  for    do

    According to (19), obtain an estimate for the matrix :

    .

    Note. The matrix , described in (17), is updated

    by fixing calculated previously.

   end

() According to (21), obtain an estimate for :

    ;

    .

()  Using (14), reconstruct the core tensor from .

()  Repeat Steps ()–() until convergence.