Gridless Multidimensional Angle-of-Arrival Estimation for Arbitrary 3D Antenna Arrays Articles uri icon

publication date

  • July 2021

start page

  • 4748

end page

  • 4764


  • 7


  • 20

International Standard Serial Number (ISSN)

  • 1536-1276

Electronic International Standard Serial Number (EISSN)

  • 1558-2248


  • A full multi-dimensional characterization of the
    angle of arrival (AoA) has immediate applications to the efficient
    operation of modern wireless communication systems. In this
    work, we develop a compressed sensing based method to extract
    multi-dimensional AoA information exploiting the sparse nature
    of the signal received by a sensor array. The proposed solution,
    based on the atomic 0 norm, enables accurate gridless resolution
    of the AoA in systems with arbitrary 3D antenna arrays.
    Our approach allows characterizing the maximum number of
    distinct sources (or scatters) that can be identified for a given
    number of antennas and array geometry. Both noiseless and noisy
    measurement scenarios are addressed, deriving and evaluating
    the resolvability of the AoA propagation parameters through a
    multi-level Toeplitz matrix rank-minimization problem. To facilitate the implementation of the proposed solution, we also present
    a least squares approach regularized by a convex relaxation of
    the rank-minimization problem and characterize its conditions
    for resolvability.


  • Telecommunications


  • 3d antenna array; atomic norm; multi-dimensional aoa; multi-level vandermonde decomposition