国防科技大学学报
國防科技大學學報
국방과기대학학보
JOURNAL OF NATIONAL UNIVERSITY OF DEFENSE TECHNOLOGY
2015年
3期
21-27
,共7页
吴舜晓%黄仰博%聂俊伟%欧钢
吳舜曉%黃仰博%聶俊偉%歐鋼
오순효%황앙박%섭준위%구강
采样协方差矩阵求逆%块Toeplitz矩阵%空时自适应处理%抗干扰天线阵列%全球卫星导航系统
採樣協方差矩陣求逆%塊Toeplitz矩陣%空時自適應處理%抗榦擾天線陣列%全毬衛星導航繫統
채양협방차구진구역%괴Toeplitz구진%공시자괄응처리%항간우천선진렬%전구위성도항계통
sample covariance matrix inversion%block Toeplitz matrix%space-time adaptive processing%anti-jamming antenna array%global navigation satellite system
采样协方差矩阵求逆是空时抗干扰算法的基本运算单元,但由于其运算量随时域抽头个数急剧增长,直接限制了空时抗干扰技术在卫星导航接收机中的应用。针对该问题,提出了基于块Toeplitz矩阵快速求逆的空时抗干扰方法。通过采用新的协方差矩阵近似计算方法,使得该矩阵同时为块Toeplitz矩阵与Hermite矩阵,并运用块Toeplitz 矩阵的快速求逆算法,将时域抽头个数为 K的计算复杂度从 O [K3]降至O[K2]。理论分析和仿真结果表明,在阵元数为4、时域抽头为15的典型情况下,相比现有矩阵求逆方法,该算法的抗干扰性能损耗小于1 dB,但计算量可降低约2/3。
採樣協方差矩陣求逆是空時抗榦擾算法的基本運算單元,但由于其運算量隨時域抽頭箇數急劇增長,直接限製瞭空時抗榦擾技術在衛星導航接收機中的應用。針對該問題,提齣瞭基于塊Toeplitz矩陣快速求逆的空時抗榦擾方法。通過採用新的協方差矩陣近似計算方法,使得該矩陣同時為塊Toeplitz矩陣與Hermite矩陣,併運用塊Toeplitz 矩陣的快速求逆算法,將時域抽頭箇數為 K的計算複雜度從 O [K3]降至O[K2]。理論分析和倣真結果錶明,在陣元數為4、時域抽頭為15的典型情況下,相比現有矩陣求逆方法,該算法的抗榦擾性能損耗小于1 dB,但計算量可降低約2/3。
채양협방차구진구역시공시항간우산법적기본운산단원,단유우기운산량수시역추두개수급극증장,직접한제료공시항간우기술재위성도항접수궤중적응용。침대해문제,제출료기우괴Toeplitz구진쾌속구역적공시항간우방법。통과채용신적협방차구진근사계산방법,사득해구진동시위괴Toeplitz구진여Hermite구진,병운용괴Toeplitz 구진적쾌속구역산법,장시역추두개수위 K적계산복잡도종 O [K3]강지O[K2]。이론분석화방진결과표명,재진원수위4、시역추두위15적전형정황하,상비현유구진구역방법,해산법적항간우성능손모소우1 dB,단계산량가강저약2/3。
Sample covariance matrix inversion was a basic operation unit in the realization of space-time anti-jamming algorithm,and its computation load grew rapidly with the increasing number of time taps,which directly restricted the application of space-time anti-jamming technique in GNSS (Global Navigation Satellite System)receiver.Aiming at this problem,a space-time anti-jamming algorithm based on block Toeplitz inversion was adopted into anti-jamming processing.By improving the estimation method of the covariance matrix,the algorithm got a sample covariance matrix both in the form of block Toeplitz matrix and Hermite matrix,and then the fast block Toeplitz inversion algorithm was applied to reduce the inversion complexity of covariance matrix of K taps from O[K3 ]to O[K2 ].Theoretical analysis and simulation results show that when comparing with the traditional algorithm under the condition of 4 antenna elements and 15 taps,the anti-jamming performance cost of the proposed algorithm is less than 1 dB,and its computation load reduction is about 2/3 times of the traditional algorithm.