Signal acquisition is the key step of GNSS (global navigation satellite system) signal reception, and its search process is computationally expensive. Compressed sensing can reduce the amount of computation, but it has a certain impact on the acquisition performance. In order to improve the performance of compressed sensing acquisition algorithm, based on the sparsity of GNSS signal, a Gaussian measurement matrix based on singular value decomposition is constructed. Compared with the traditional Gaussian measurement matrix, the constructed measurement matrix has better performance of non-correlation and reconstruction. Simulation results show that compared with the traditional Gaussian compressed sensing acquisition algorithm, the acquisition probability of the improved algorithm is significantly improved in the case of lower signal-to-noise ratio.
DENG Lele
,
ZHOU Fangming
,
ZHAO Lulu
,
LIANG Guang
,
YU Jinpei
. Compressed sensing GNSS signal acquisition algorithm based on singular value decomposition[J]. Journal of University of Chinese Academy of Sciences, 2023
, 40(1)
: 128
-134
.
DOI: 10.7523/j.ucas.2021.0031
[1] 张利伟,赵冬青,彭少磊.圆周移位在伪码补零BDS信号捕获算法中的应用[J].测绘科学技术学报,2017,34(5):466-469.DOI：10.3969/j.issn.1673-6338.2017.05.006.
[2] 张春熹,李先慕,高爽.基于稀疏傅里叶变换的快速捕获方法[J].北京航空航天大学学报,2018,44(4):670-676.DOI：10.13700/j.bh.1001-5965.2017.0280.
[3] 冯永新,任锦君,刘芳.双块零扩展截断相关的长码信号快速捕获算法[J].兵工学报,2019,40(3):539-547.DOI：10.3969/j.issn.1000-1093.2019.03.012.
[4] Donoho D L.Compressed sensing[J].IEEE Transactions on Information Theory,2006,52(4):1289-1306.
[5] Candes E J,Romberg J,Tao T.Robust uncertainty principles:exact signal reconstruction from highly incomplete frequency information[J].IEEE Transactions on Information Theory,2006,52(2):489-509.DOI：10.1109/TIT.2005.862083.
[6] 李灯熬,邓豆豆,赵菊敏,等.基于卡尔曼滤波的压缩感知卫星信号捕获算法研究[C]//第九届中国卫星导航学术年会论文集:S09用户终端技术.哈尔滨,2018:91-94.
[7] He G D,Song M Z,He X,et al.GPS signal acquisition based on compressive sensing and modified greedy acquisition algorithm[J].IEEE Access,2019,7:40445-40453.DOI：10.1109/ACCESS.2019.2906682.
[8] 杨峰,周飞,潘丽丽,等.基于交错方向乘子法的并行GPS信号捕获算法[J].电子科技大学学报,2020,49(2):187-193.DOI：10.12178/1001-0548.2018112.
[9] 王凯,吴斌,汪勃.一种利用压缩感知改进的PMF-FFT扩频捕获算法[J].电讯技术,2018,58(6):661-667.DOI：10.3969/j.issn.1001-893X.2018.06.008.
[10] Candes E J,Tao T.Decoding by linear programming[J].IEEE Transactions on Information Theory,2005,51(12):4203-4215.DOI：10.1109/TIT.2005.858979.
[11] 焦李成,杨淑媛,刘芳,等.压缩感知回顾与展望[J].电子学报,2011,39(7):1651-1662.
[12] Dan K. A singularly valuable decomposition: The SVD of a matrix[J].The College Mathematics Journal,1996,27(1):2-23.DOI：10.1080/07468342.1996.11973744.
[13] 刘航，王波，郎代志，等.基于奇异值分解改进观测矩阵的FBG传感信号处理[J].软件导刊,2020,19(8):202-206.
[14] 彭玉楼,何怡刚,林斌.基于奇异值分解的压缩感知噪声信号重构算法[J].仪器仪表学报,2012,33(12):2655-2660.DOI：10.19650/j.cnki.cjsi.2012.12.003.
[15] Juditsky A,Nemirovski A.On verifiable sufficient conditions for sparse signal recovery via l1 minimization.[J]Mathematical Programming,2011,127(1):57-88.DOI：10.1007/s10107-010-0417-z.
[16] 许学杰,潘志刚,刘畅.基于压缩感知的SAR图像压缩算法[J].中国科学院大学学报,2015,32(6):790-796.DOI：10.7523/j.issn.2095-6134.2015.06.010.
[17] 杨海蓉,张成,丁大为,等.压缩传感理论与重构算法[J].电子学报,2011,39(1):142-148.
[18] 谈继魁,方勇,霍迎秋.基于GPU并行计算的OMP算法[J].电视技术,2015,39(15):42-45,54.DOI：10.16280/j.videoe.2015.15.010.
[19] 郭晓彤.基于压缩感知的GPS信号捕获算法研究[D].西安：西安电子科技大学，2014.
