Abstract
A super-resolution direction-of-arrival (DoA) estimation algorithm that employs a co-prime array and positive atomic norm minimization (ANM) is proposed. To exploit larger array cardinality, the co-prime array vector is constructed by arranging elements of a correlation matrix. The positive ANM is a technique that can enhance resolution when the coefficients of the atoms are the positive real numbers. A novel optimization problem is proposed to ensure the coefficients of the atoms are the positive real numbers, and the positive ANM is employed after solving the optimization problem. The simulation results show that the proposed algorithm achieves high resolution and has lower complexity than the other ANM-based super-resolution DoA estimation algorithm.
Highlights
A direction-of-arrival (DoA) estimation is one of the representative research topics in the field of array signal processing and has been adopted in a various applications, such as localization and radar [1]
We propose a super-resolution DoA estimation algorithm using the co-prime array and the positive atomic norm minimization (ANM)
We propose the super-resolution DoA estimation algorithm using the co-prime array and the positive ANM
Summary
A direction-of-arrival (DoA) estimation is one of the representative research topics in the field of array signal processing and has been adopted in a various applications, such as localization and radar [1]. They require high signal-to-noise ratios (SNRs) and large numbers of snapshots To overcome these disadvantages, compressive sensing (CS)-based DoA estimation algorithms have been proposed [3,6,7]. The algorithm proposed in [27,28], which is referred to as the positive ANM, shows that the resolution can be further enhanced when the coefficients of atoms are the positive real numbers. We propose a super-resolution DoA estimation algorithm using the co-prime array and the positive ANM. To ensure that the coefficients of the atoms are positive real numbers, a novel optimization problem is derived, wherein the optimization problem removes the noise on the co-prime array.
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