基于辅助阵元的非圆信号自校正算法及其性能分析

doi:10.3969/j.issn.1000-436x.2014.02.020

Abstract

Abstract:

An improved direction-finding algorithm for noncircular sources was proposed in the presence of angularly dependent gain and phase errors, which is called NC-ISM based on the fundamental principle of ISM (instrumental sen-sor method). Through the application of the extended data model of non-circular signals with maximum rate, the pro-posed algorithm enhances the information utilization leading to advancement of estimation accuracy and twice the num-ber of sources that can be distinguished. The performance study on NC-ISM proved the statistical consistency of the pa-rameter estimation, and a theoretical derivation for the closed-form expression of the mean square error (MSE) of NC-ISM estimation was presented under the influence of modeling errors of instrumental sensors by the first-order analysis. Therefore, the analysis can provide theoretical support for practical applications. The simulation results not only verify the effectiveness of theoretical derivation, but also illustrate that NC-ISM is more robust than ISM with respect to signal-to-noise ratio as well as modeling errors.

Key words: angularly dependent gain and phase error, ISM, noncircular signal, statistical consistency, modeling error of instrumental sensor

Jie-xin YIN,Ying WU,Ding WANG. Auto-calibration method and performance analysis for noncircular sources based on instrumental sensors[J]. Journal on Communications, 2014, 35(2): 153-165.

Figures/Tables 16

References 19

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信噪比/dB	信号1		信号2
信噪比/dB	NC-ISM	ISM	NC-ISM	ISM
10	0.235	0.398	0.138	0.237
11	0.213	0.356	0.120	0.207
12	0.189	0.316	0.110	0.185
13	0.165	0.280	0.097	0.161
14	0.147	0.251	0.088	0.148
15	0.132	0.221	0.077	0.133
16	0.116	0.195	0.069	0.117
17	0.104	0.175	0.061	0.108
18	0.095	0.158	0.055	0.094
19	0.082	0.142	0.050	0.082
20	0.074	0.124	0.044	0.072

信噪比/dB	信号1		信号2
信噪比/dB	NC-ISM	ISM	NC-ISM	ISM
10	3.690	5.714	10.08	18.32
11	3.307	5.027	8.828	15.98
12	2.980	4.481	7.972	14.25
13	2.580	3.939	7.102	12.45
14	2.308	3.587	6.324	11.28
15	2.066	3.096	5.683	10.30
16	1.846	2.767	4.974	9.027
17	1.623	2.495	4.474	8.337
18	1.477	2.232	3.971	7.234
19	1.283	2.006	3.610	6.257
20	1.160	1.740	3.267	5.563

模型误差功率/dB	实验值		理论值
模型误差功率/dB	NC-ISM	ISM	NC-ISM	ISM
-40	0.158	0.279	0.160	0.278
-39	0.178	0.310	0.180	0.312
-38	0.206	0.351	0.202	0.350
-37	0.233	0.390	0.230	0.392
-36	0.253	0.441	0.255	0.440
-35	0.287	0.490	0.286	0.494
-34	0.308	0.552	0.310	0.554
-33	0.362	0.625	0.360	0.622
-32	0.410	0.695	0.404	0.697
-31	0.446	0.786	0.449	0.782
-30	0.506	0.872	0.509	0.878

模型误差功率/dB	实验值		理论值
模型误差功率/dB	NC-ISM	ISM	NC-ISM	ISM
-40	2.360	3.873	2.361	3.826
-39	2.645	4.300	2.650	4.293
-38	2.979	4.937	2.973	4.817
-37	3.416	5.385	3.336	5.405
-36	3.743	6.089	3.743	6.064
-35	4.207	6.768	4.199	6.804
-34	4.535	7.589	4.712	7.635
-33	5.310	8.676	5.286	8.566
-32	6.002	9.796	5.932	9.612
-31	6.665	11.22	6.655	10.78
-30	7.353	12.01	7.467	12.10

Auto-calibration method and performance analysis for noncircular sources based on instrumental sensors

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