基于有效干扰系数的MSK干扰效能分析

doi:10.11959/j.issn.1000-436x.2022215

摘要/Abstract

摘要：

针对无线通信系统干扰效能评估问题，基于干扰和通信信号关联程度提出了将有效干扰系数作为干扰评估参数，分析了其对正交接收机的影响。具体地，以最小频移键控（MSK）信号为通信信号，以几种典型二进制数字调制信号为干扰信号，利用所提干扰效能分析方法，通过推导其理论误码率进行 MSK 干扰效能分析。特别地，针对相干干扰场景，系统分析了MSK相干干扰信号存在相位差、频差和时延时对MSK干扰效能的影响。通过分析发现，为取得更好的干扰效果，干扰方应根据被干扰信号的信噪比选取不同的干扰样式。所提方法的理论分析与数值仿真结果具有较好的符合度，证明了其准确性和有效性。

关键词: 干扰效能, 最小频移键控, 数字调制, 有效干扰系数

Abstract:

For the problem of communication jamming effectiveness, an effective jamming coefficient was proposed as an evaluation metric based on the correlation between jamming and communication signals, and the impact of orthogonal receivers was analyzed.Specially, minimum shift keying (MSK) and several typical binary modulation signals were chosen as the target communication and jamming signals, respectively.Jamming effectiveness evaluation was performed for the above mentioned scenario by deriving its theoretical bit error rate (BER) formulas.Moreover, for coherent jamming scenario with MSK being the jamming signal, the impact of its phase difference, frequency difference and delay on the jamming effectiveness were also systematically analyzed.The analysis suggests that to achieve better jamming effectiveness, different jamming modulation scheme should be chosen according to the signal-to-noise (SNR) of the jamming communication signal.Simulation has also shown that there is a good match between the derived theoretical analysis and numerical simulation of the proposed method effectiveness, which has proven its accuracy and validity.

Key words: jamming effectiveness, minimum shift keying, digital modulation, effective jamming coefficient

中图分类号:

TN911.6

陈增茂, 闫倩, 孙志国, 孙溶辰. 基于有效干扰系数的MSK干扰效能分析[J]. 通信学报, 2022, 43(11): 148-157.

Zengmao CHEN, Qian YAN, Zhiguo SUN, Rongchen SUN. Analysis of MSK jamming effectiveness based on effective jamming coefficient[J]. Journal on Communications, 2022, 43(11): 148-157.

图/表 15

图1

图2

图3

图4

表1

干扰信号、相关干扰系数以及Q路误码率关系"

k	a₁	a₂	$c_{{js}_{Q}}$	$P_{eq_2fsk} (- 1 \| + 1)$
1	+1	+1	$- \sqrt{JSR}$	$\frac{1}{2} erfc [\sqrt{r} (1 - \sqrt{JSR})]$
2	+1	0	0	$\frac{1}{2} erfc (\sqrt{r})$
3	0	+1	0	$\frac{1}{2} erfc (\sqrt{r})$
4	0	0	$\sqrt{JSR}$	$\frac{1}{2} erfc [\sqrt{r} (1+ \sqrt{JSR})]$

表1

表2

干扰信号每路误码率通式"

干扰信号	载波频率	I路误码率	Q路误码率
2ASK	f = f ₀	0.5B₁+ 0.5B ₄+B ₂	2B₁
2PSK	f = f ₀	B₁+ B ₄	2B₁
2FSK	$f_{1} = f_{0} + \frac{1}{4 T}$	2B₃	B₁+B₃
	$f_{2} = f_{0} - \frac{1}{4 T}$
MSK	$f_{1} = f_{0} + \frac{1}{4 T}$	2B₃	2B₃
	$f_{2} = f_{0} - \frac{1}{4 T}$

表2

图5

表3

码元2′、3′、4′与 c js Q 的关系"

k	2′	3′	4′	$c_{{js}_{Q}}$
1	+1	+1	+1	$\cos (ψ) \sqrt{JSR}$
2	+1	+1	–1	$[\cos (ψ) - \frac{2}{π} \sin (ψ)] \sqrt{JSR}$
3	+1	–1	+1	$- \cos (ψ) \sqrt{JSR}$
4	+1	–1	–1	$[- \cos (ψ) - \frac{2}{π} \sin (ψ)] \sqrt{JSR}$
5	–1	+1	+1	$[\cos (ψ) + \frac{2}{π} \sin (ψ)] \sqrt{JSR}$
6	–1	+1	–1	$\cos (ψ) \sqrt{JSR}$
7	–1	–1	+1	$[- \cos (ψ) + \frac{2}{π} \sin (ψ)] \sqrt{JSR}$
8	–1	–1	–1	$- \cos (ψ) \sqrt{JSR}$

表3

图6

图7

图8

图9

图10

图11

图12

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