深空通信长无模糊距离高精度再生测距码设计

doi:10.7527/S1000-6893.2023.29434

Abstract

Abstract:

The challenge of deep space ranging is to obtain high precision distance measurements over long two-way distance and at low signal-to-noise ratios. The regenerative ranging system improves the downlink signal-to-noise ratio by approximately 30 dB by regenerating the ranging code in the spacecraft. However， the known regenerative ranging codes fail to meet the essential unambiguous distance requirements for future deep space missions. Firstly， the relationship between the combining function and the ranging error is systematically analyzed， and the method for reducing the ranging error by changing the combining function is proposed. New ranging codes are designed with m sequence and the new combining functions. A total of 8 new ranging codes are proposed. The ranging error variance is reduced by 0.28–3.78 dB compared to the known ranging codes. The unambiguous ranging distance is increased from 75 000 kilometers to 1.17–178.84 million kilometers， expanding by 15–2 384 times. One of the new ranging codes is fully balanced with a DC component of 0. The simulation results demonstrate that the new ranging code can provide higher precision distance measurement support for future deep space communication and deep space exploration over longer distances.

Key words: deep space communication, regenerative ranging, pseudo noise ranging code, m sequence, unambiguous distance, ranging accuracy

CLC Number:

V556

Yanan XI, Xiaoyu DANG, Sai LI. Design of high precision regenerative ranging codes with long unambiguous ranging distance[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(12): 329434.

Figures/Tables 13

Fig.1

Fig.2

Fig.3

Table 1

Error signal

码片极性对应状态	$c j - 1 c 1 j$	$c j c 1 j$	$b j c 1 j$	概率
$c j - 1 = - c 1 j - 1, c j = c 1 j$	$+ 1$	$+ 1$	$P R T$	$p c m a j = - c 1 p c m a j = c 1$
$c j - 1 = - c 1 j - 1, c j = - c 1 j$	$+ 1$	$- 1$	$- 2 P R T ε$	$p c m a j = - c 1 p c m a j = - c 1$
$c j - 1 = c 1 j - 1, c j = c 1 j$	$- 1$	$+ 1$	$2 P R T ε$	$p c m a j = c 1 p c m a j = c 1$
$c j - 1 = c 1 j - 1, c j = - c 1 j$	$- 1$	$- 1$	$- P R T$	$p c m a j = c 1 p c m a j = - c 1$

Table 1

Fig. 4

Fig.5

Fig.6

Table 2

New ranging codes

子码个数	复合码	子码周期	复合函数
6	NM1	$2,7, 15,19,31,127$	$s i g n 4 c 1 + c 2 - c 3 - c 4 - c 5 + c 6$
	NM2	$2,11,15,19,31,127$	$s i g n 4 c 1 - c 2 + c 3 + c 4 - c 5 + c 6$
	NM3	$2,11,19,31,63,127$	$s i g n 4 c 1 + c 2 - c 3 - c 4 - c 5 + c 6$
	NM4	$2,19,23,31,63,127$	$s i g n 4 c 1 + c 2 - c 3 - c 4 + c 5 + c 6$
7	NM5	$2,7, 11,19,23,31,127$	$s i g n 5 c 1 - c 2 + c 3 + c 4 - c 5 + c 6 + c 7$
	NM6	$2,7, 15,19,23,31,127$	$s i g n 5 c 1 - c 2 + c 3 + c 4 + c 5 - c 6 + c 7$
	NM7	$2,11,15,19,23,31,127$	$s i g n 5 c 1 - c 2 + c 3 - c 4 + c 5 + c 6 + c 7$
	NM8	$2,11,19,23,31,63,127$	$s i g n 5 c 1 - c 2 + c 3 + c 4 - c 5 + c 6 + c 7$

Table 2

Table 3

Performance analysis of ranging codes

复合码	测距误差/m	单程无模糊距离/（ $104$ km）	直流分量/mV
T2B	2.669 8	7.5	1.40
T4B	1.784 6	7.5	0.30
NM1	1.785 0	117.8	0
NM2	1.785 7	185.1	0.24
NM3	1.786 0	777.6	0.11
NM4	1.786 4	1 625.8	0.04
NM5	1.728 1	1 987.1	0.10
NM6	1.728 2	2 709.7	0.16
NM7	1.728 6	4 258.2	0.20
NM8	1.728 7	17 884.2	0.10

Table 3

Fig.7

Fig.8

Fig.9

Fig.10

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Design of high precision regenerative ranging codes with long unambiguous ranging distance

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