基于零阶椭圆球面波信号的连续相位调制及性能分析

doi:10.12305/j.issn.1001-506X.2021.08.34

摘要/Abstract

摘要：

连续相位调制技术在卫星通信、深空探测、遥感遥测等航空航天领域具有重要应用, 连续相位调制信号的性能通常取决于其基带调频脉冲信号。零阶椭圆球面波信号是时频域高能量聚集性信号, 且该信号的时间带宽积可以灵活控制。结合连续相位调制原理, 探索性地将零阶椭圆球面波信号应用于连续相位调制, 与现有主要连续相位调制信号性能进行了对比分析。结果表明, 与基于矩形脉冲、升余弦脉冲的连续相位调制最小频移键控信号、正弦频移键控信号相比, 该方法所得调制信号的功率谱带外衰减和高频滚降可以更快, 在含99.9%信号功率带宽条件下, 系统频带利用率可分别提升13%和16%, 且在全响应条件下系统的误比特率性能较好。

关键词: 零阶椭圆球面波信号, 连续相位调制, 频带利用率

Abstract:

Continuous phase modulation (CPM) technology has important applications in aerospace fields such as satellite communications, deep space exploration, remote sensing and telemetry, the performance of CPM signal often depends on its baseband frequency modulation pulse signal. The zero order prolate spheroidal wave functions (PSWFs) signal is a time-frequency high-energy aggregation signal, and its time bandwidth product can be flexibly controlled. Combined with the principle of CPM, the zero order PSWF signal is applied to CPM, and the performance is compared with existing main CPM signals. The results show that, compared with the existing CPM minimum shift keying (MSK) signal and sinusoidal frequency shift keying (SFSK) signal based on rectangular pulses and raised cosine pulses, the power spectrum attenuation and high frequency roll-off of the modulation signal obtained by this method can be more fast, with 99.9% signal power bandwidth, the system bandwidth efficiency can be improved by 13% and 16%, respectively. And under the condition of full response, the system has better bit error rate (BER) performance.

Key words: zero order prolate spheroidal wave function (PSWF) signal, continuous phase modulation(CPM), bandwidth efficiency

中图分类号:

TN914.3

杨大伟, 王红星, 刘传辉, 康家方. 基于零阶椭圆球面波信号的连续相位调制及性能分析[J]. 系统工程与电子技术, 2021, 43(8): 2311-2320.

Dawei YANG, Hongxing WANG, Chuanhui LIU, Jiafang KANG. Continuous phase modulation based on zero order PSWF signal and its performance analysis[J]. Systems Engineering and Electronics, 2021, 43(8): 2311-2320.

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名称	数值
信息传输速率S/(bit/s)	50
总比特数目n	10⁵
进制数M	2
PSWFs时间带宽积c/(Hz·s)	2、4、8
过采样倍数N	256
调制指数h	0.5
载波频率f_c/kHz	15
PSWFs产生方式	离散长椭球序列^[31]

序号	时间带宽积/(Hz·s)
序号	2	4	8
1	0.100 9	0.016 7	0.000 8
2	0.143 4	0.047 4	0.006 6
3	0.187 5	0.096 9	0.026 9
4	0.230 4	0.163 2	0.076 2
5	0.269 3	0.239 4	0.163 9
6	0.301 3	0.314 0	0.282 4
7	0.324 0	0.373 8	0.400 7
8	0.335 8	0.407 2	0.475 7
9	0.335 8	0.407 2	0.475 7
10	0.324 0	0.373 8	0.400 7
11	0.301 3	0.314 0	0.282 4
12	0.269 3	0.239 4	0.163 9
13	0.230 4	0.163 2	0.076 2
14	0.187 5	0.096 9	0.026 9
15	0.143 4	0.047 4	0.006 6
16	0.100 9	0.016 7	0.000 8

调制方式	功率百分比占用带宽/%
调制方式	90	99	99.9
MSK	0.80	1.26	2.84
SFSK	0.96	2.20	2.94
CPM-PSWFs(c=2Hz·s)	0.87	1.38	2.47
CPM-PSWFs(c=4Hz·s)	0.95	2.16	2.93
CPM-PSWFs(c=8Hz·s)	1.04	2.65	4.30

调制方式	功率百分比占用带宽/%
调制方式	90	99	99.9
GMSK(BT=0.25)	0.57	0.88	1.12
GMSK(BT=0.3)(GSM)	0.61	0.93	1.16
GMSK(BT=0.5)	0.69	1.05	1.38
CPM-GAUSS(BT=0.25)	0.61	0.92	1.17
CPM-GAUSS(BT=0.3)	0.66	1.01	1.28
CPM-GAUSS(BT=0.5)	0.81	1.29	2.51
CPM-PSWFs(c=2Hz·s)	0.51	0.78	1.10
CPM-PSWFs(c=4Hz·s)	0.58	0.88	1.13
CPM-PSWFs(c=8Hz·s)	0.68	1.02	1.32

调制方式	算法复杂度
MSK	O(5nN)
SFSK	O(5nN+6N)
GMSK	O(5nN+13LN)
CPM-PSWFs	O(N²+5nN)