Research on infrared anti-jamming evaluation method based on principal component-analytic hierarchy process

Xin Wu; Youli Wu; Deqing Niu; Tongxin Liu; Yuxuan Cai; Rui Xu

doi:10.3788/IRLA20210060

Journals >Infrared and Laser Engineering >Volume 50 >Issue 11 >Page 20210060 > Article

Infrared and Laser Engineering
Vol. 50, Issue 11, 20210060 (2021)

Research on infrared anti-jamming evaluation method based on principal component-analytic hierarchy process

Xin Wu, Youli Wu, Deqing Niu, Tongxin Liu, Yuxuan Cai, and Rui Xu

Author Affiliations

College of Aeronautics Engineering, Air Force Engineering University, Xi’an 710038, China

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DOI: 10.3788/IRLA20210060 Cite this Article

Xin Wu, Youli Wu, Deqing Niu, Tongxin Liu, Yuxuan Cai, Rui Xu. Research on infrared anti-jamming evaluation method based on principal component-analytic hierarchy process[J]. Infrared and Laser Engineering, 2021, 50(11): 20210060 Copy Citation Text

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Fig. 1. Infrared anti-interference comprehensive evaluation index system

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Fig. 2. Process of PCA modified discriminant matrix

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Fig. 3. Revised comparison of miss distance and evaluation score

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Fig. 4. Comparison of miss distance and evaluation score before correction

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Comparison f and g	a_fg	a_gf
f is as important as g	1	1
f is slightly more important than g	3	1/3
f is more important than g	5	1/5
f is obviously more important than g	7	1/7
f is absolutely more important than g	9	1/9
Adjacent judgment median	2,4,6,8	1/2,1/4,1/6,1/8

Table 1. Quantitative scale

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Order (n)	1	2	3	4	5	6	7	8	9	10	11	12	13	14
RI	0	0	0.52	0.89	1.12	1.26	1.36	1.41	1.46	1.49	1.52	1.54	1.56	1.58

Table 2. Mean random consistency index

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No.	D1	D2	D3	D4	D5	D6	D7	D8	D9	D10	D11	D12	D13	D14	D15	E1	E2	E3
1	10	0.965	27.3	2	4.9	15	14	0.3	0.05	0.774	0.075	0.001	0.92	0.18	1	4	10	0.9
2	7	0.987	27.2	2	5.7	16	13	0.2	0.04	0.595	0.016	0.0035	0.95	0.16	0.97	7	30	0.89
3	9	0.967	26.9	2	3.7	15	14	0.3	0.03	0.676	0.044	0.0022	0.91	0.21	0.82	6	60	0.93
4	8	0.975	26.8	2	4.3	15	15	0.4	0.05	0.88	0.059	0.0008	0.9	0.18	0.55	5	40	0.91
5	11	0.99	27.1	4	2.3	17	15	0.2	0.03	0.231	0.056	0.0028	0.93	0.19	0.73	4	90	0.88
6	6	0.985	27	4	2.8	20	14	0.3	0.04	0.702	0.05	0.0014	0.95	0.31	0.64	3	120	0.94
7	9	0.973	27.3	4	1.5	20	12	0.4	0.05	0.336	0.035	0.0045	0.93	0.84	0.46	8	150	0.87
8	12	0.983	26.9	2	3.3	19	13	0.3	0.03	0.498	0.026	0.0024	0.91	0.17	0.39	6	160	0.92
9	7	0.98	26.7	3	5.4	17	13	0.3	0.04	0.159	0.024	0.0032	0.92	0.2	0.84	5	70	0.93
10	8	0.95	27.2	4	4.7	15	14	0.2	0.05	0.967	0.047	0.0038	0.93	0.22	0.78	7	110	0.9

Table 3. Index data

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Index	D1	D2	D3	D4	D5	D6	D7	D8	D9	D10	D11	D12	D13	D14	D15	E1	E2	E3
R_i	3.248	3.564	4.019	4.350	5.804	5.847	4.809	3.676	3.829	4.558	5.307	4.955	3.909	6.039	5.009	3.914	5.605	3.893

Table 4. Average influence degree between indexes

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R_A	B1	B2	B3	W_B
B1	1	1/7	2	0.131
B2	7	1	9	0.793
B3	1/2	1/9	1	0.076

Table 5. A-B discriminant matrix and weight

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R_B1	C1	C2	W_C1	R_B2	C3	C4	W_C2
C1	1	2	0.667	C3	1	5	0.833
C2	1/2	1	0.333	C4	1/5	1	0.167

Table 6. B1, B2-C discriminant matrix and weight

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R_C1	D1	D2	D3	D4	D5	D6	W_D1-6
D1	1	1/2	1/3	1/4	1/5	1/5	0.046
D2	2	1	1/2	1/3	1/4	1/4	0.070
D3	3	2	1	1/2	1/3	1/3	0.112
D4	4	3	2	1	1/2	1/2	0.180
D5	5	4	3	2	1	1	0.296
D6	5	4	3	2	1	1	0.296

Table 7. D-C1 discriminant matrix and weight

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R_C2	D7	D8	D9	W_D7-9
D7	1	3	2	0.540
D8	1/3	1	1/2	0.163
D9	1/2	2	1	0.297

Table 8. D-C2 discriminant matrix and weight

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R_C3	D10	D11	D12	D13	W_D10-13
D10	1	1/4	1/2	2	0.135
D11	4	1	2	7	0.524
D12	2	1/2	1	4	0.271
D13	1/2	1/7	1/4	1	0.070

Table 9. D-C3 discriminant matrix and weight

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R_C4	D14	D15	W_D14-15
D14	1	3	0.75
D15	1/3	1	0.25

Table 10. D-C4 discriminant matrix and weight

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R_B3	E1	E2	E3	W_E1-3
E1	1	1/3	1	0.2
E2	3	1	3	0.6
E3	1	1/3	1	0.2

Table 11. E-B3 discriminant matrix and weight

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Group	N_s	N_e	N_f	T_l/s	T_i/s	T_e/s	V_f/m·s^-1	${\theta _l}$/(°)	${\theta _v}$/(°)	${\theta _m}$/(°)	D_r/km	acc/m·s^-2	thro/(°)	Ma	pitch/(°)	yaw/(°)	roll/(°)	MD	E	Rank
1	12	1	4	0.5	0.1	0.2	10	0	−90	10	4	0	2.001	0.860	1.453	0	0	2.017	1.804	1
2	24	1	6	0.5	0.4	0.8	10	60	−90	130	6	0	2.001	0.860	1.453	0	0	13.713	0.710	10
3	36	1	4	0.5	0.1	0.4	20	60	−90	70	8	0	2.001	0.860	1.453	0	0	187.404	0.641	13
4	12	2	6	2	0.4	0.8	40	150	90	30	5	15.526	2.019	0.724	2.236	−55.147	15.557	4.560	1.698	2
5	48	2	4	2.5	0.1	0.6	40	30	−60	90	4	15.526	2.019	0.724	2.236	−55.147	15.557	13.546	0.721	9
6	24	2	12	2	0.1	0.8	40	150	90	90	8	15.526	2.019	0.724	2.236	−55.147	15.557	450.930	0.361	15
7	12	1	6	0.5	0.1	0.8	30	60	−90	70	8	−24.523	2.044	0.939	1.141	77.102	−24.551	5.321	1.472	3
8	36	1	4	0.5	0.4	0.8	10	60	−90	10	6	−24.523	2.044	0.939	1.141	77.102	−24.551	12.705	0.798	8
9	24	1	12	1	0.1	0.2	20	120	−90	130	10	−24.523	2.044	0.939	1.141	77.102	−24.551	370.244	0.391	14
10	48	2	4	1.5	0.1	0.8	10	0	60	140	7	−37.325	2.677	0.970	14.495	0.909	−37.308	11.973	0.961	7
11	48	2	12	1.5	0.4	0.6	10	0	60	80	8	−37.325	2.677	0.970	14.495	0.909	−37.308	169.682	0.659	12
12	12	2	4	1.5	0.1	0.2	20	0	60	20	6	−37.325	2.677	0.970	14.495	0.909	−37.308	7.475	1.280	5
13	12	3	12	4	0.3	0.6	30	120	90	40	5	14.294	1.711	1.187	−10.307	−0.005	14.308	6.508	1.342	4
14	36	3	6	4	0.5	1	30	120	90	160	9	14.294	1.711	1.187	−10.307	−0.005	14.308	9.277	1.213	6
15	48	3	6	4	0.5	1	30	120	90	100	8	14.294	1.711	1.187	−10.307	−0.005	14.308	14.220	0.697	11

Table 12. Infrared anti-jamming data and evaluation results

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