Gridless Multidimensional Angle of Arrival Estimation for Arbitrary 3D Antenna Arrays

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 ℓ_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.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
04/12/2020

Direction of Arrival Estimation for a Vector Sensor Using Deep Neural Networks

A vector sensor, a type of sensor array with six collocated antennas to ...
research
10/15/2021

BayesAoA: A Bayesian method for Computation Efficient Angle of Arrival Estimation

The angle of Arrival (AoA) estimation is of great interest in modern com...
research
09/28/2018

Single Snapshot Super-Resolution DOA Estimation for Arbitrary Array Geometries

We address the problem of search-free direction of arrival (DOA) estimat...
research
03/22/2019

Super-Resolution DOA Estimation for Arbitrary Array Geometries Using a Single Noisy Snapshot

We address the problem of search-free DOA estimation from a single noisy...
research
12/05/2017

Gridless Two-dimensional DOA Estimation With L-shaped Array Based on the Cross-covariance Matrix

The atomic norm minimization (ANM) has been successfully incorporated in...
research
05/01/2020

Multi-dimensional Arrays with Levels

We explore a data structure that generalises rectangular multi-dimension...
research
09/27/2021

Estimating Angle of Arrival (AoA) of multiple Echoes in a Steering Vector Space

Consider a microphone array, such as those present in Amazon Echos, conf...

Please sign up or login with your details

Forgot password? Click here to reset