Prediction model of second-order intermodulation pseudo-signal interference effect for radar equipment

Hongze Zhao; Guanghui Wei; Xue Du; Xiaodong Pan; Xuxu Lü

doi:10.11884/HPLPB202335.230089

Journals >High Power Laser and Particle Beams >Volume 35 >Issue 8 >Page 083001 > Article

High Power Laser and Particle Beams
Vol. 35, Issue 8, 083001 (2023)

Prediction model of second-order intermodulation pseudo-signal interference effect for radar equipment

Hongze Zhao, Guanghui Wei^*, Xue Du, Xiaodong Pan, and Xuxu Lü

Author Affiliations

National Key Laboratory of Electromagnetic Environment Effects, Army Engineering University (Shijiazhuang Campus), Shijiazhuang 050003, China

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DOI: 10.11884/HPLPB202335.230089 Cite this Article

Hongze Zhao, Guanghui Wei, Xue Du, Xiaodong Pan, Xuxu Lü. Prediction model of second-order intermodulation pseudo-signal interference effect for radar equipment[J]. High Power Laser and Particle Beams, 2023, 35(8): 083001 Copy Citation Text

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Fig. 1. Critical blocking interference field strength of single frequency electromagnetic radiation of the tested radar

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Fig. 2. Radar detection target imaging under dual-frequency electromagnetic radiation

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Fig. 3. Variation curve of second-order intermodulation pseudo-signal with interference field strength

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Fig. 4. Change of second-order intermodulation pseudo-signal level with radiation frequency difference when the interference field strength is fixed

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Fig. 5. Change of second-order intermodulation pseudo-signal interference factor with radiation frequency offset

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Fig. 6. Curve of the relative value of the low-frequency pseudo-signal level with the second-order cross-frequency modulation difference

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Δf_i/MHz	E_i₀/(V·m⁻¹)	Δf_i/MHz	E_i₀/(V·m⁻¹)	Δf_i/MHz	E_i₀/(V·m⁻¹)	Δf_i/MHz	E_i₀/(V·m⁻¹)	Δf_i/MHz	E_i₀/(V·m⁻¹)
−320	90.2	−180	2.1	−40	0.5	100	0.6	240	79.4
−300	88.1	−160	0.9	−20	0.5	120	0.7	260	85.1
−280	76.7	−140	0.5	0	0.5	140	0.8	280	87.1
−260	50.7	−120	0.5	20	0.5	160	1.1	300	89.1
−240	24.3	−100	0.5	40	0.5	180	4.0	320	87.1
−220	11.4	−80	0.5	60	0.6	200	18.2	−	−
−200	4.9	−60	0.5	80	0.6	220	60.9	−	−

Table 1. Fitting values of single frequency electromagnetic radiation critical blocking interference field strength

Δf_i/MHz	$ \;{ \beta _{\text{F}}}(\Delta {f_i}) $/dB	Δf_i/MHz	$ \;{ \beta _{\text{F}}}(\Delta {f_i}) $/dB	Δf_i/MHz	$ \;{ \beta _{\text{F}}}(\Delta {f_i}) $/dB	Δf_i/MHz	$ \;{ \beta _{\text{F}}}(\Delta {f_i}) $/dB
−340	10.3	−160	11.4	20	12.8	200	10.8
−320	10.5	−140	11.9	40	13.0	220	10.4
−300	10.5	−120	12.4	60	13.2	240	10.2
−280	10.4	−100	12.7	80	13.3	260	10.2
−260	10.3	−80	12.8	100	13.3	280	10.2
−240	10.2	−60	12.8	120	13.0	300	10.3
−220	10.2	−40	12.7	140	12.5	320	10.2
−200	10.4	−20	12.6	160	11.9	340	10.1
−180	10.8	0	12.6	180	11.3	360	9.9

Table 2. Test results of second-order intermodulation pseudo-signal interference factor

\begin{document}$ \;{ \beta _{\text{F}}}(\Delta {f_i}) $\end{document}

\|Δf\|/MHz	X_r(∆f)/dB	\|Δf\|/MHz	X_r(∆f)/dB	\|Δf\|/MHz	X_r(∆f)/dB	\|Δf\|/MHz	X_r(∆f)/dB	\|Δf\|/MHz	X_r(∆f)/dB
0.1	0.4	0.7	0.0	1.3	2.4	1.9	6.3	2.5	11.5
0.2	0.5	0.8	0.0	1.4	3.0	2	7.1	2.6	12.9
0.3	0.4	0.9	0.2	1.5	3.7	2.1	7.9	2.7	14.7
0.4	0.4	1	0.5	1.6	4.3	2.2	8.7	2.8	16.9
0.5	0.2	1.1	1.0	1.7	4.9	2.3	9.5	2.9	19.6
0.6	0.1	1.2	1.7	1.8	5.6	2.4	10.4	3	22.7

Table 3. Test results of low frequency pseudo signal level relative value X_r(∆f)

criterion/dBmV	Δf₁/MHz	Δf₂/MHz	β_F(Δf₁)= β_F(Δf₂)	X_r(0.6M)	$ (\dfrac{{E}_{1}}{{E}_{10}}\text{.}\dfrac{{E}_{2}}{{E}_{20}})\text{/dB} $	R_FS2/dB
6	−0.6	0	12.6	0.1	−30.5	0.6
	−0.3	0.3	12.6	0.1	−32.1	−1.0
	0	0.6	12.6	0.1	−30.2	0.9
18	−0.6	0	12.6	0.1	−18.6	0.5
	−0.3	0.3	12.6	0.1	−19.1	0
	0	0.6	12.6	0.1	−18.9	0.2

Table 4. Interference effect evaluation of second-order intermodulation pseudo-signal under different sensitive levels

Δf_i/MHz	β_F(Δf₂)	$ (\dfrac{{E}_{1}}{{E}_{10}}\text{.}\dfrac{{E}_{2}}{{E}_{20}})\text{/dB} $	R_FS2/dB
−300	10.5	−19.1	−1.1
−200	10.4	−18.0	−0.2
−100	12.7	−22.4	0
0	12.6	−22.0	0.2
100	13.3	−23.5	0.1
200	10.8	−19.7	−1.1
300	10.3	−15.7	1.9

Table 5. Interference effect evaluation of second-order intermodulation pseudo-signal in large radiation frequency offset range

\|Δf\|/MHz	β_F(Δf₂)	X_r(∆f)/dB	$(\dfrac{ {E}_{1} }{ {E}_{10} }\text{.}\dfrac{ {E}_{2} }{ {E}_{20} })\text{/dB}$	R_FS2/dB
0.6	12.6	0.1	−21.5	0.6
1.2	12.6	1.7	−19.6	0.9
1.8	12.6	5.6	−17.1	−0.5
2.4	12.6	10.4	−13.5	−1.7
3.0	12.6	22.7	3.0	2.5

Table 6. Interference effect evaluation of second-order intermodulation pseudo-signal with large intermodulation frequency difference range

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