SIGNAL (programming language)

Quantum mechanics

Algorithm

Ecology

Pure mathematics

Biology

Quaternion

Covariance matrix

Materials science

Applied mathematics

Eigenvalues and eigenvectors

Telecommunications

Rotational invariance

Computer science

Antenna (radio)

Matrix (chemical analysis)

Type (biology)

Linear subspace

Physics

Mathematics

Image (mathematics)

Mathematical analysis

Signal subspace

Artificial intelligence

Eigendecomposition of a matrix

Geometry

Composite material

Direction of arrival

Programming language

Subspace topology

Noise (video)

Speech recognition

IEEE Communications Letters

In this letter, a quaternion-based ESPRIT-type algorithm called augmented quaternion ESPRIT (AQ-ESPRIT) is proposed for direction of arrival (DOA) estimation with a co-located crossed-dipole array. Firstly, two quaternion models are constructed by judiciously arranging the observed signals, and then concatenated to form a new AQ model. Secondly, the AQ signal subspace is estimated by applying the quaternionic eigenvalue decomposition to the resultant AQ covariance matrix. Finally, the derived AQ signal subspaces of different subarrays are employed to form the rotational invariance equation, which is then used to obtain the ultimate DOA estimates. Numerical results show that the proposed AQ-ESPRIT has a better performance in low signal-to-noise ratio scenarios.

Augmented Quaternion ESPRIT-Type DOA Estimation With a Crossed-Dipole Array