Design of Constant Modulus Radar Waveform for PSD Matching Based on MM Algorithm
The power spectral density (PSD) shape of the transmit waveform plays an important role in some fields of radar, such as electronic counter-countermeasures (ECCM), target detection, and target classification. In addition, radar hardware generally requires the waveform to have constant modulus (CM) c...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-06-01
|
| Series: | Remote Sensing |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2072-4292/17/11/1937 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849330641155391488 |
|---|---|
| author | Hao Zheng Chaojie Qiu Chenyu Liang Junkun Yan |
| author_facet | Hao Zheng Chaojie Qiu Chenyu Liang Junkun Yan |
| author_sort | Hao Zheng |
| collection | DOAJ |
| description | The power spectral density (PSD) shape of the transmit waveform plays an important role in some fields of radar, such as electronic counter-countermeasures (ECCM), target detection, and target classification. In addition, radar hardware generally requires the waveform to have constant modulus (CM) characteristics. Therefore, it is a significant problem to synthesize the discrete-time CM waveform from a given PSD. To address this problem, some algorithms have been proposed in the existing literature. In this paper, based on the majorization–minimization (MM) framework, a novel algorithm is proposed to solve this problem. The proposed algorithm can be proved to converge to the stationary point, and the error reduction property can be obtained without the unitary requirements on the discrete Fourier transform (DFT) matrix. To accelerate the convergence rate of the proposed algorithm, three acceleration schemes are developed for the proposed algorithm. Considering a specific algorithm stopping condition, one of the proposed acceleration schemes shows better computation efficiency than the existing algorithms and is more robust to the initial points. Besides, when the DFT matrix is not unitary, the numerical results show that the proposed acceleration scheme has better matching performance compared with the existing algorithms. |
| format | Article |
| id | doaj-art-318fe2d57bd34749860b92af39a06e64 |
| institution | Kabale University |
| issn | 2072-4292 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Remote Sensing |
| spelling | doaj-art-318fe2d57bd34749860b92af39a06e642025-08-20T03:46:50ZengMDPI AGRemote Sensing2072-42922025-06-011711193710.3390/rs17111937Design of Constant Modulus Radar Waveform for PSD Matching Based on MM AlgorithmHao Zheng0Chaojie Qiu1Chenyu Liang2Junkun Yan3College of Electronic Information Engineering, Inner Mongolia University, Hohhot 010010, ChinaCollege of Electronic Information Engineering, Inner Mongolia University, Hohhot 010010, ChinaCollege of Electronic Information Engineering, Inner Mongolia University, Hohhot 010010, ChinaNational Key Laboratory of Radar Signal Processing, Xidian University, Xi’an 710071, ChinaThe power spectral density (PSD) shape of the transmit waveform plays an important role in some fields of radar, such as electronic counter-countermeasures (ECCM), target detection, and target classification. In addition, radar hardware generally requires the waveform to have constant modulus (CM) characteristics. Therefore, it is a significant problem to synthesize the discrete-time CM waveform from a given PSD. To address this problem, some algorithms have been proposed in the existing literature. In this paper, based on the majorization–minimization (MM) framework, a novel algorithm is proposed to solve this problem. The proposed algorithm can be proved to converge to the stationary point, and the error reduction property can be obtained without the unitary requirements on the discrete Fourier transform (DFT) matrix. To accelerate the convergence rate of the proposed algorithm, three acceleration schemes are developed for the proposed algorithm. Considering a specific algorithm stopping condition, one of the proposed acceleration schemes shows better computation efficiency than the existing algorithms and is more robust to the initial points. Besides, when the DFT matrix is not unitary, the numerical results show that the proposed acceleration scheme has better matching performance compared with the existing algorithms.https://www.mdpi.com/2072-4292/17/11/1937waveform designconstant moduluspower spectral densitymajorization–minimization |
| spellingShingle | Hao Zheng Chaojie Qiu Chenyu Liang Junkun Yan Design of Constant Modulus Radar Waveform for PSD Matching Based on MM Algorithm Remote Sensing waveform design constant modulus power spectral density majorization–minimization |
| title | Design of Constant Modulus Radar Waveform for PSD Matching Based on MM Algorithm |
| title_full | Design of Constant Modulus Radar Waveform for PSD Matching Based on MM Algorithm |
| title_fullStr | Design of Constant Modulus Radar Waveform for PSD Matching Based on MM Algorithm |
| title_full_unstemmed | Design of Constant Modulus Radar Waveform for PSD Matching Based on MM Algorithm |
| title_short | Design of Constant Modulus Radar Waveform for PSD Matching Based on MM Algorithm |
| title_sort | design of constant modulus radar waveform for psd matching based on mm algorithm |
| topic | waveform design constant modulus power spectral density majorization–minimization |
| url | https://www.mdpi.com/2072-4292/17/11/1937 |
| work_keys_str_mv | AT haozheng designofconstantmodulusradarwaveformforpsdmatchingbasedonmmalgorithm AT chaojieqiu designofconstantmodulusradarwaveformforpsdmatchingbasedonmmalgorithm AT chenyuliang designofconstantmodulusradarwaveformforpsdmatchingbasedonmmalgorithm AT junkunyan designofconstantmodulusradarwaveformforpsdmatchingbasedonmmalgorithm |