Orthogonal Waveform Design for MIMO Radar Based on Improved Salp Swarm Algorithm

Zihang Zhao; Zhenbin Gao; Zhuangzhi Han; Qi Li

doi:10.3788/LOP202259.1307003

Laser & Optoelectronics Progress, Volume. 59, Issue 13, 1307003(2022)

Orthogonal Waveform Design for MIMO Radar Based on Improved Salp Swarm Algorithm

Zihang Zhao¹, Zhenbin Gao^1、*, Zhuangzhi Han², and Qi Li¹

Author Affiliations

¹School of Electronic and Information Engineering, Hebei University of Technology, Tianjin 300401, China

²Department of Electronic and Optical Engineering, Shijiazhuang Campus, Army Engineering University, Shijiazhuang 050003, Hebei , China

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Figures & Tables(6)

Fig. 1. Signal auto-correlation function. (a) Signal 1; (b) signal 2; (c) signal 3; (d) signal 4

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Fig. 2. Signal cross-correlation function. (a) Signals 1, 2; (b) signals 1, 3; (c) signals 1, 4; (d) signals 2, 3; (e) signals 2, 4; (f) signals 3, 4

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Fig. 3. Average ASP and average CP change curves. (a) Average ASP; (b) average CP

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Table 1. Phase encoding table of the designed waveform

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Table 1. Phase encoding table of the designed waveform

Wave phase
Signal 1：	4.8017	4.3756	5.4521	1.4806	2.1235	2.1287
2.6849	3.5461	5.6132	1.8954	1.6259	3.8419	3.5944
1.6164	2.3821	4.8126	2.6307	2.7373	0.9315	4.8750
6.1495	4.4069	4.4789	0.9544	5.9545	5.2585	2.2782
5.5305	5.1021	0.4377	2.9351	5.7522	2.8793	2.3666
1.1770	2.6276	0.4266	5.1031	2.3551	5.2516
Signal 2：	5.3351	2.9763	4.7096	4.5337	5.8680	5.0829
1.7625	5.7810	0.7840	0.7487	4.5683	3.6251	2.6678
4.8155	4.1748	2.9968	4.5075	3.0619	1.1798	1.9551
3.9021	3.5907	4.8574	2.3106	0.8310	3.7167	6.1321
4.4191	4.1204	2.8558	0.8842	1.8905	5.1392	1.3702
5.0759	5.3474	2.6671	3.4507	4.9850	6.0398
Signal 3：	2.0757	0.2525	3.2378	5.8207	6.0727	4.8974
2.6143	2.0286	1.9231	1.7061	0.0854	2.5257	1.0259
0.6677	0.4690	2.5815	0.5016	0.5769	5.6949	3.3971
4.3278	0.4565	5.3142	2.5479	0.1719	2.2596	3.4097
5.9545	1.9466	2.8301	2.5607	3.0547	5.4473	3.4850
4.6896	5.0078	0.2310	0.2856	2.4875	5.1640
Signal 4：	2.7423	2.2562	3.1432	5.2536	5.4429	3.2416
2.2035	2.1181	2.5606	1.7535	3.4337	4.5239	1.9307
0.1953	3.5782	3.5210	1.5757	3.7538	0.4793	3.4108
6.2669	5.6458	2.9724	5.6885	2.1264	3.3970	3.0313
1.0866	2.3532	5.7117	3.8654	6.2819	5.3877	5.4843
0.8310	3.2559	5.1689	5.3266	2.6017	2.3232

Table 2. ASP and CP of the waveforms
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Table 2. ASP and CP of the waveforms
Sequence number of signal Signal 1 Signal 2 Signal 3 Signal 4
Signal 1 0.1123 0.1832 0.1846 0.1953
Signal 2 0.1832 0.1102 0.1850 0.2102
Signal 3 0.1846 0.1850 0.1081 0.2127
Signal 4 0.1953 0.2102 0.2127 0.1042

Table 3. Comparison of results from improved SSA with results from other’s methods

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Table 3. Comparison of results from improved SSA with results from other’s methods

Method	Average ASP	Max ASP	Average CP	Max CP
Method of Ref.［14］	0.1377	0.1474	0.2060	0.2264
Method of Ref.［15］	0.1662	0.1924	0.2131	0.2305
Method of Ref.［18］	0.1443	0.1521	0.1966	0.2151
Method of Ref.［19］	0.1293	0.1346	0.2068	0.2305
Improved SSA	0.1092	0.1123	0.1952	0.2127

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Zihang Zhao, Zhenbin Gao, Zhuangzhi Han, Qi Li. Orthogonal Waveform Design for MIMO Radar Based on Improved Salp Swarm Algorithm[J]. Laser & Optoelectronics Progress, 2022, 59(13): 1307003

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