电子学报
電子學報
전자학보
ACTA ELECTRONICA SINICA
2014年
6期
1216-1219
,共4页
赵宜楠%李风从%王军%乔晓林
趙宜楠%李風從%王軍%喬曉林
조의남%리풍종%왕군%교효림
波形设计%相位编码%色噪声抑制%交替投影%秩亏傅里叶变换
波形設計%相位編碼%色譟聲抑製%交替投影%秩虧傅裏葉變換
파형설계%상위편마%색조성억제%교체투영%질우부리협변환
waveform design%phase code%colored noise suppression%alternating projection%rank deficient Fourier transform
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。
本文提齣瞭一種在設定區間具有極低功率譜和自相關幅值的恆模波形設計方法。該方法首先將波形設計的信號模型轉化為相位提取問題,通過定義三箇代錶不同設計目標和約束的集閤,利用交替投影的方法來實現波形優化。由于利用瞭色譟聲協方差矩陣與功率譜的近似關繫,算法中基于秩虧傅立葉變換矩陣的投影算子能由快速傅裏葉變換高效實現,提高瞭計算效率。最後,計算機倣真驗證瞭算法的有效性。算法所設計的波形可用于雷達、聲吶和無線通信繫統,以抑製色譟聲、有源榦擾和距離徬瓣榦擾。
본문제출료일충재설정구간구유겁저공솔보화자상관폭치적항모파형설계방법。해방법수선장파형설계적신호모형전화위상위제취문제,통과정의삼개대표불동설계목표화약속적집합,이용교체투영적방법래실현파형우화。유우이용료색조성협방차구진여공솔보적근사관계,산법중기우질우부립협변환구진적투영산자능유쾌속부리협변환고효실현,제고료계산효솔。최후,계산궤방진험증료산법적유효성。산법소설계적파형가용우뢰체、성눌화무선통신계통,이억제색조성、유원간우화거리방판간우。
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 corre-sponding to different design objects and constraints are defined .The waveform optimization problem is solved via alternating projec-tion .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 .