基于秩亏傅里叶变换的交替投影编码波形设计

doi:10.3969/j.issn.0372-2112.2014.06.027

电子学报 ›› 2014, Vol. 42 ›› Issue (6): 1216-1219.DOI: 10.3969/j.issn.0372-2112.2014.06.027

基于秩亏傅里叶变换的交替投影编码波形设计

赵宜楠, 李风从, 王军, 乔晓林

哈尔滨工业大学电子与信息工程学院, 黑龙江哈尔滨 150001

收稿日期:2013-04-15 修回日期:2013-07-03 出版日期:2014-06-25
- 通讯作者:
- 赵宜楠
- 作者简介:
- 李风从 男,1985年出生于湖北省黄石市.博士研究生.主要研究方向为自适应信号处理.E-mail：xialulee@sina.com
- 基金资助:
- 国家自然科学基金 (No.61371181）; 山东省自然科学基金 (No.ZR2012FQ007）

Coded Waveform Design via Alternating Projection Based on Rank Deficient Fourier Transform

ZHAO Yi-nan, LI Feng-cong, WANG Jun, QIAO Xiao-lin

School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, Heilongjiang 150001, China

Received:2013-04-15 Revised:2013-07-03 Online:2014-06-25 Published:2014-06-25
- Supported by:
- National Natural Science Foundation of China (No.61371181); Natural Science Foundation of Shandong Province, China (No.ZR2012FQ007)

摘要/Abstract

摘要：

本文提出了一种在设定区间具有极低功率谱和自相关幅值的恒模波形设计方法.该方法首先将波形设计的信号模型转化为相位提取问题，通过定义三个代表不同设计目标和约束的集合，利用交替投影的方法来实现波形优化.由于利用了色噪声协方差矩阵与功率谱的近似关系，算法中基于秩亏傅立叶变换矩阵的投影算子能由快速傅里叶变换高效实现，提高了计算效率.最后，计算机仿真验证了算法的有效性.算法所设计的波形可用于雷达、声呐和无线通信系统，以抑制色噪声、有源干扰和距离旁瓣干扰.

关键词: 波形设计, 相位编码, 色噪声抑制, 交替投影, 秩亏傅里叶变换

Abstract:

A method is presented to design constant modulus waveforms with low magnitude of power spectral density and autocorrelation in desired intervals.The waveform design problem is transformed into a phase retrieval one,and three sets corresponding to different design objects and constraints are defined.The waveform optimization problem is solved via alternating projection.According to the relationship between the covariance matrix and the power spectral density of the colored noise,the projector used in the algorithm is implemented efficiently based on fast Fourier transformation.Thus the computational efficiency is improved.Finally,the numerical simulations demonstrate the effectiveness of this algorithm.The waveforms designed by this algorithm can be used in radar,sonar,and wireless communication systems to suppress colored noise,active interference and range sidelobes.

Key words: waveform design, phase code, colored noise suppression, alternating projection, rank deficient Fourier transform

中图分类号:

TN957.51

赵宜楠, 李风从, 王军, 等. 基于秩亏傅里叶变换的交替投影编码波形设计[J]. 电子学报, 2014, 42(6): 1216-1219.

ZHAO Yi-nan, LI Feng-cong, WANG Jun, et al. Coded Waveform Design via Alternating Projection Based on Rank Deficient Fourier Transform[J]. Acta Electronica Sinica, 2014, 42(6): 1216-1219.

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基于秩亏傅里叶变换的交替投影编码波形设计

Coded Waveform Design via Alternating Projection Based on Rank Deficient Fourier Transform

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