信号处理
信號處理
신호처리
SIGNAL PROCESSING
2015年
7期
849-859
,共11页
杜政东%魏平%赵菲%尹文禄
杜政東%魏平%趙菲%尹文祿
두정동%위평%조비%윤문록
波达方向估计%二维MUSIC谱%圆阵%计算量
波達方嚮估計%二維MUSIC譜%圓陣%計算量
파체방향고계%이유MUSIC보%원진%계산량
direction of arrival estimation%two dimensional MUSIC spectrum%circular array%computational complexity
针对二维波达方向估计时 MUSIC 谱的快速计算问题,研究了均匀圆阵变换到虚拟线阵的 MUSIC 算法(UCA-ULA-MUSIC)、流形分离 MUSIC 算法(MS-MUSIC)、傅立叶域线性求根 MUSIC 算法(FD-Line-Search-MU-SIC)、基于 FFT 的2n 元均匀圆阵 MUSIC 算法(2n-UCA-FFT-MUSIC)与基于 FFT 的任意圆阵 MUSIC 算法(ACA-FFT-MUSIC)。对各种算法快速计算二维 MUSIC 谱的实现步骤进行了总结。在此基础上,给出了各算法计算二维MUSIC 谱的计算复杂度表达式,并以传统方法为参考,对比了各种快速算法相对于传统方法的计算复杂度比值;同时,针对不同的阵列形式,对适用的快速算法的测向性能进行了仿真对比。根据分析和对比的结果,指出 MS-MUSIC 算法与 ACA-FFT-MUSIC 算法具有更高的工程应用价值,由具体的情况单独或分频段联合使用 MS-MUSIC算法与 ACA-FFT-MUSIC 算法,可以使测向系统较好的兼顾测向性能与时效性。
針對二維波達方嚮估計時 MUSIC 譜的快速計算問題,研究瞭均勻圓陣變換到虛擬線陣的 MUSIC 算法(UCA-ULA-MUSIC)、流形分離 MUSIC 算法(MS-MUSIC)、傅立葉域線性求根 MUSIC 算法(FD-Line-Search-MU-SIC)、基于 FFT 的2n 元均勻圓陣 MUSIC 算法(2n-UCA-FFT-MUSIC)與基于 FFT 的任意圓陣 MUSIC 算法(ACA-FFT-MUSIC)。對各種算法快速計算二維 MUSIC 譜的實現步驟進行瞭總結。在此基礎上,給齣瞭各算法計算二維MUSIC 譜的計算複雜度錶達式,併以傳統方法為參攷,對比瞭各種快速算法相對于傳統方法的計算複雜度比值;同時,針對不同的陣列形式,對適用的快速算法的測嚮性能進行瞭倣真對比。根據分析和對比的結果,指齣 MS-MUSIC 算法與 ACA-FFT-MUSIC 算法具有更高的工程應用價值,由具體的情況單獨或分頻段聯閤使用 MS-MUSIC算法與 ACA-FFT-MUSIC 算法,可以使測嚮繫統較好的兼顧測嚮性能與時效性。
침대이유파체방향고계시 MUSIC 보적쾌속계산문제,연구료균균원진변환도허의선진적 MUSIC 산법(UCA-ULA-MUSIC)、류형분리 MUSIC 산법(MS-MUSIC)、부립협역선성구근 MUSIC 산법(FD-Line-Search-MU-SIC)、기우 FFT 적2n 원균균원진 MUSIC 산법(2n-UCA-FFT-MUSIC)여기우 FFT 적임의원진 MUSIC 산법(ACA-FFT-MUSIC)。대각충산법쾌속계산이유 MUSIC 보적실현보취진행료총결。재차기출상,급출료각산법계산이유MUSIC 보적계산복잡도표체식,병이전통방법위삼고,대비료각충쾌속산법상대우전통방법적계산복잡도비치;동시,침대불동적진렬형식,대괄용적쾌속산법적측향성능진행료방진대비。근거분석화대비적결과,지출 MS-MUSIC 산법여 ACA-FFT-MUSIC 산법구유경고적공정응용개치,유구체적정황단독혹분빈단연합사용 MS-MUSIC산법여 ACA-FFT-MUSIC 산법,가이사측향계통교호적겸고측향성능여시효성。
According to the fast computation problem of MUSIC spectrum in two dimensional direction of arrival estimation, the fast algorithms by manifold transformation or spectrum function transformation are studied.The implementation steps of computation method for two dimensional MUSIC spectrum by these algorithms are summarized.Furthermore,expressions for computational complexity of discussed algorithms in computing two dimensional MUSIC spectrum are presented.With refer-ence to the conventional method,the ratio of computational complexity of discussed algorithms is compared.Meanwhile,for different circular arrays,the direction finding performance of applicable algorithms is compared by simulation.It is proved that the MUSIC algorithm based on Manifold Separation (MS-MUSIC)and Fast Fourier Transformation (FFT)which suits to arbitrary circular array (ACA-FFT-MUSIC)have higher engineering value according to the results of analysis and com-parison.The performance and timeliness of direction finding system can be ensured by individual use of each method in whole frequency or combined use of the two in different frequency band based on different conditions.