Systems Engineering and Electronics ›› 2025, Vol. 47 ›› Issue (6): 1729-1738.doi: 10.12305/j.issn.1001-506X.2025.06.01
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Pengcheng ZHANG1,*, Bo PENG1, Mingxing FANG2
Received:
2024-05-09
Online:
2025-06-25
Published:
2025-07-25
Contact:
Pengcheng ZHANG
CLC Number:
Pengcheng ZHANG, Bo PENG, Mingxing FANG. An analysis of jamming method based on the correlation characteristics of modulation sequences[J]. Systems Engineering and Electronics, 2025, 47(6): 1729-1738.
Table 1
Table 'a' of 15-bit m-sequence"
位数 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
m1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 |
m2 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 |
m3 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 |
m4 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 |
m5 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 |
m6 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 |
m7 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 |
m8 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 |
m9 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 |
m10 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 |
m11 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 |
m12 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 |
m13 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 |
m14 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 |
m15 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 |
Table 2
Cross-correlation function mainlobe amplitude of the 15-bit m-sequence"
Rmax | m1 | m2 | m3 | m4 | m5 | m6 | m7 | m8 | m9 | m10 | m11 | m12 | m13 | m14 | m15 |
m1 | 15 | 12 | 14 | 13 | 8 | 9 | 13 | 14 | 11 | 9 | 8 | 10 | 10 | 11 | 11 |
m2 | 12 | 15 | 11 | 14 | 10 | 12 | 10 | 13 | 14 | 9 | 11 | 13 | 8 | 8 | 9 |
m3 | 14 | 11 | 15 | 12 | 9 | 8 | 14 | 13 | 10 | 10 | 8 | 9 | 11 | 12 | 13 |
m4 | 13 | 14 | 12 | 15 | 9 | 11 | 11 | 14 | 13 | 8 | 10 | 12 | 8 | 9 | 10 |
m5 | 8 | 10 | 9 | 9 | 15 | 13 | 10 | 8 | 11 | 14 | 14 | 12 | 13 | 12 | 11 |
m6 | 9 | 12 | 8 | 11 | 13 | 15 | 8 | 10 | 13 | 12 | 14 | 14 | 11 | 10 | 9 |
m7 | 13 | 10 | 14 | 11 | 10 | 8 | 15 | 12 | 9 | 11 | 9 | 8 | 12 | 13 | 14 |
m8 | 14 | 13 | 13 | 14 | 8 | 10 | 12 | 15 | 12 | 8 | 9 | 11 | 9 | 10 | 11 |
m9 | 11 | 14 | 10 | 13 | 11 | 13 | 9 | 12 | 15 | 10 | 12 | 14 | 9 | 8 | 8 |
m10 | 9 | 9 | 10 | 8 | 14 | 12 | 11 | 8 | 10 | 15 | 13 | 11 | 14 | 13 | 12 |
m11 | 8 | 11 | 8 | 10 | 14 | 14 | 9 | 9 | 12 | 13 | 15 | 13 | 12 | 11 | 10 |
m12 | 10 | 13 | 9 | 12 | 12 | 14 | 8 | 11 | 14 | 11 | 13 | 15 | 10 | 9 | 8 |
m13 | 10 | 8 | 11 | 8 | 13 | 11 | 12 | 9 | 9 | 14 | 12 | 10 | 15 | 14 | 13 |
m14 | 11 | 8 | 12 | 9 | 12 | 10 | 13 | 10 | 8 | 13 | 11 | 9 | 14 | 15 | 14 |
m15 | 11 | 9 | 13 | 10 | 11 | 9 | 14 | 11 | 8 | 12 | 10 | 8 | 13 | 14 | 15 |
Table 3
Table 'b' of 15-bit m-sequence"
位数 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
n1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 |
n2 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 |
n3 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 |
n4 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 |
n5 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 |
n6 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 |
n7 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 |
n8 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 |
n9 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 |
n10 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 |
n11 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 |
n12 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 |
n13 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 |
n14 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 |
n15 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 |
Table 4
Cross-correlation main lobe amplitude of m-sequence with different coefficient matrices"
Rmax | n1 | n2 | n3 | n4 | n5 | n6 | n7 | n8 | n9 | n10 | n11 | n12 | n13 | n14 | n15 |
m1 | 7 | 7 | 8 | 8 | 7 | 7 | 7 | 6 | 7 | 6 | 6 | 6 | 7 | 5 | 6 |
m2 | 7 | 7 | 8 | 6 | 6 | 8 | 6 | 6 | 7 | 7 | 6 | 5 | 7 | 5 | 6 |
m3 | 8 | 8 | 7 | 9 | 6 | 6 | 8 | 7 | 8 | 5 | 7 | 6 | 6 | 6 | 7 |
m4 | 6 | 7 | 8 | 6 | 7 | 9 | 7 | 5 | 7 | 8 | 6 | 6 | 8 | 7 | 6 |
m5 | 7 | 6 | 5 | 7 | 7 | 6 | 7 | 6 | 6 | 6 | 7 | 6 | 5 | 7 | 6 |
m6 | 7 | 8 | 6 | 7 | 8 | 6 | 8 | 7 | 6 | 7 | 9 | 8 | 6 | 7 | 7 |
m7 | 7 | 7 | 7 | 8 | 7 | 7 | 7 | 6 | 7 | 5 | 8 | 5 | 7 | 5 | 6 |
m8 | 6 | 7 | 9 | 7 | 6 | 8 | 6 | 5 | 8 | 7 | 6 | 5 | 8 | 6 | 5 |
m9 | 6 | 7 | 7 | 5 | 7 | 8 | 7 | 7 | 6 | 8 | 7 | 6 | 7 | 7 | 6 |
m10 | 6 | 5 | 6 | 6 | 8 | 7 | 8 | 7 | 5 | 7 | 7 | 7 | 6 | 8 | 7 |
m11 | 6 | 7 | 6 | 8 | 7 | 7 | 8 | 6 | 7 | 7 | 8 | 7 | 6 | 8 | 7 |
m12 | 6 | 7 | 6 | 6 | 7 | 7 | 7 | 6 | 7 | 7 | 8 | 7 | 6 | 8 | 7 |
m13 | 6 | 5 | 5 | 6 | 7 | 6 | 7 | 6 | 6 | 6 | 8 | 7 | 5 | 7 | 5 |
m14 | 7 | 6 | 5 | 7 | 6 | 5 | 6 | 6 | 6 | 7 | 7 | 6 | 6 | 7 | 6 |
m15 | 8 | 7 | 6 | 8 | 6 | 6 | 6 | 7 | 7 | 6 | 7 | 6 | 7 | 6 | 7 |
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