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

Abstract

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

CLC Number:

TN914.3

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.

Figures/Tables 10

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References 32

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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)

Continuous phase modulation based on zero order PSWF signal and its performance analysis

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