A Fast Phase-Only Beamforming Algorithm for FDA-MIMO Radar via Kronecker Decomposition
This paper proposes a fast phase-only beamforming algorithm for frequency diverse array multiple-input multiple-output radar systems. Specifically, we use the Kronecker decomposition to decompose the desired phase-only weight vector into phase-only transmit and receive weight vectors and to decompos...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-01-01
|
| Series: | Electronics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2079-9292/13/2/337 |
| _version_ | 1797344235292196864 |
|---|---|
| author | Geng Chen Chunyang Wang Jian Gong Ming Tan |
| author_facet | Geng Chen Chunyang Wang Jian Gong Ming Tan |
| author_sort | Geng Chen |
| collection | DOAJ |
| description | This paper proposes a fast phase-only beamforming algorithm for frequency diverse array multiple-input multiple-output radar systems. Specifically, we use the Kronecker decomposition to decompose the desired phase-only weight vector into phase-only transmit and receive weight vectors and to decompose the target steering vector into transmit and receive steering vectors. By using the properties of the Kronecker product, the transmit and receive steering vectors and the transmit and receive weight vectors with the Vandermonde structure are decomposed into Kronecker factors with uni-modulus vectors, respectively. On this basis, in order to maintain the mainlobe gain and form a deep null at the desired position, the Kronecker factors are divided into two parts.The first component, referred to as the interference suppression factors, is responsible for creating deep nulls. The second component, known as the signal enhancement factor, maintains the mainlobe gain. We provide an analytical solution with low complexity for the Kronecker factors. This strategy can obtain the phase-only weights while effectively forming a deep null at the desired position. Numerical experiments are conducted to verify the effectiveness of the proposed algorithm. |
| first_indexed | 2024-03-08T10:59:26Z |
| format | Article |
| id | doaj.art-ae18e02c30564613b68c0cf1a7a5a089 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-08T10:59:26Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-ae18e02c30564613b68c0cf1a7a5a0892024-01-26T16:13:50ZengMDPI AGElectronics2079-92922024-01-0113233710.3390/electronics13020337A Fast Phase-Only Beamforming Algorithm for FDA-MIMO Radar via Kronecker DecompositionGeng Chen 0Chunyang Wang 1Jian Gong 2Ming Tan 3School of Air Defense and Antimissile, Air Force Engineering University, Xi’an 710051, ChinaSchool of Air Defense and Antimissile, Air Force Engineering University, Xi’an 710051, ChinaSchool of Air Defense and Antimissile, Air Force Engineering University, Xi’an 710051, ChinaCollege of Information and Communication, National University of Defense Technology, Wuhan 430010, ChinaThis paper proposes a fast phase-only beamforming algorithm for frequency diverse array multiple-input multiple-output radar systems. Specifically, we use the Kronecker decomposition to decompose the desired phase-only weight vector into phase-only transmit and receive weight vectors and to decompose the target steering vector into transmit and receive steering vectors. By using the properties of the Kronecker product, the transmit and receive steering vectors and the transmit and receive weight vectors with the Vandermonde structure are decomposed into Kronecker factors with uni-modulus vectors, respectively. On this basis, in order to maintain the mainlobe gain and form a deep null at the desired position, the Kronecker factors are divided into two parts.The first component, referred to as the interference suppression factors, is responsible for creating deep nulls. The second component, known as the signal enhancement factor, maintains the mainlobe gain. We provide an analytical solution with low complexity for the Kronecker factors. This strategy can obtain the phase-only weights while effectively forming a deep null at the desired position. Numerical experiments are conducted to verify the effectiveness of the proposed algorithm.https://www.mdpi.com/2079-9292/13/2/337frequency diverse array multiple-input multiple-output (FDA-MIMO)beamformingphase-only controlinterference suppressionKronecker decomposition |
| spellingShingle | Geng Chen Chunyang Wang Jian Gong Ming Tan A Fast Phase-Only Beamforming Algorithm for FDA-MIMO Radar via Kronecker Decomposition Electronics frequency diverse array multiple-input multiple-output (FDA-MIMO) beamforming phase-only control interference suppression Kronecker decomposition |
| title | A Fast Phase-Only Beamforming Algorithm for FDA-MIMO Radar via Kronecker Decomposition |
| title_full | A Fast Phase-Only Beamforming Algorithm for FDA-MIMO Radar via Kronecker Decomposition |
| title_fullStr | A Fast Phase-Only Beamforming Algorithm for FDA-MIMO Radar via Kronecker Decomposition |
| title_full_unstemmed | A Fast Phase-Only Beamforming Algorithm for FDA-MIMO Radar via Kronecker Decomposition |
| title_short | A Fast Phase-Only Beamforming Algorithm for FDA-MIMO Radar via Kronecker Decomposition |
| title_sort | fast phase only beamforming algorithm for fda mimo radar via kronecker decomposition |
| topic | frequency diverse array multiple-input multiple-output (FDA-MIMO) beamforming phase-only control interference suppression Kronecker decomposition |
| url | https://www.mdpi.com/2079-9292/13/2/337 |
| work_keys_str_mv | AT gengchen afastphaseonlybeamformingalgorithmforfdamimoradarviakroneckerdecomposition AT chunyangwang afastphaseonlybeamformingalgorithmforfdamimoradarviakroneckerdecomposition AT jiangong afastphaseonlybeamformingalgorithmforfdamimoradarviakroneckerdecomposition AT mingtan afastphaseonlybeamformingalgorithmforfdamimoradarviakroneckerdecomposition AT gengchen fastphaseonlybeamformingalgorithmforfdamimoradarviakroneckerdecomposition AT chunyangwang fastphaseonlybeamformingalgorithmforfdamimoradarviakroneckerdecomposition AT jiangong fastphaseonlybeamformingalgorithmforfdamimoradarviakroneckerdecomposition AT mingtan fastphaseonlybeamformingalgorithmforfdamimoradarviakroneckerdecomposition |