三次样条插值在通信工程中的应用

doi:10.11959/j.issn.1000-0801.2017011

Abstract

Abstract:

In the communication engineering practice,it often needs to estimate the unknown samples which are missing with the limited samples,then the interpolation operation is needed.Based on the research of cubic spline interpolation,the validity was given in communication engineering applications of the cubic spline interpolation by the experimental results on free space loss calculation,feeder insertion loss estimation,correlative interferometer.

Key words: cubic spline interpolation, free-space transmission loss, feeder insertion loss, correlation interferometer direction finding

CLC Number:

TN99

ANGDaiji SUO. Application of cubic spline interpolation in communication engineering[J]. Telecommunications Science, 2017, 33(1): 159-164.

Figures/Tables 8

频率/MHz	原始测试数据/dB	三次样条插值/dB	线性插值/dB	分段三次厄米特插值/dB
10	0.4	$0.40$	$0.4$	$0.4$
400	0.5	0.61	0.6	0.61
700	0.7	0.76	0.75	0.76
1 000	0.9	$0.90$	$0.9$	$0.9$
2 000	1.3	1.31	1.23	1.29
3 000	1.6	1.63	1.57	1.62
4 000	1.9	$1.90$	$1.9$	$1.9$
5 000	2.2	2.12	2.1	2.12
6 000	2.4	2.32	2.3	2.32
7 000	2.5	$2.50$	$2.5$	$2.5$
8 000	2.8	2.67	2.67	2.67
9 000	2.9	2.84	2.83	2.84
1 0000	3.0	$3.00$	$3.00$	$3.00$
11 000	3.1	3.16	3.17	3.17
12 000	3.3	3.33	3.33	3.33
13 000	3.5	$3.50$	$3.50$	$3.50$
14 000	3.6	3.67	3.67	3.67
15 000	3.8	3.83	3.83	3.84
16 000	4.0	$4.00$	$4.00$	$4.00$
17 000	4.2	4.16	4.13	4.15
18 000	4.3	4.29	4.27	4.29
19 000	4.4	$4.40$	$4.40$	$4.40$
20 000	4.4	4.45	4.47	4.47
21 000	4.5	4.50	4.53	4.52
22 000	4.6	$4.60$	$4.60$	$4.60$
23 000	4.8	4.77	4.8	4.77
24 000	5.0	$5.00$	$5.00$	$5.00$
25 000	5.3	5.22	5.2	5.2
26 000	5.4	$5.40$	$5.40$	$5.40$

References 7

[1]	孙志忠，吴宏伟，袁慰平，等. 计算方法与实习[M]. 南京：东南大学出版社， 2011.
	SUN Z Z , WU H W , YUAN W P , et al. An elementary numerical analysls[M]. Nanjing: Southeast University Press, 2011.
[2]	陈岭，许晓龙，杨清，等. 基于三次样条插值的无线信号强度衰减模型[J]. 浙江大学学报(工学版)， 2011(9): 1521-1527.
	CHEN L , XU X L , YANG Q , et al. Wireless signal strength propagation model base on cubic spline interpolation[J]. Journal of Zhejiang University (Engineering Science), 2011(9): 1521-1527.
[3]	李迪 . 三次样条插值在 WCDMA移动终端校准中的应用[D]. 上海：上海交通大学， 2009.
	LI D . Cubic saline interpolation in of WCDMA mobile[D]. Shanghai: Shanghai Jiaotong University, 2009.
[4]	赵鸿图，刘云 . 基于三次样条插值的小波模极大值去噪算法[J]. 计算机工程与设计， 2014(8): 2965-2968.
	ZHAO H T , LIU Y . Denoising algorithm of wavelet modulus maximum based on cubic spline interpolation[D]. Computer Engineering and Design, 2014(8): 2965-2968.
[5]	杨虎山 . 三次样条插值在实际问题中的应用和实现[J]. 忻州师范学院学报， 2008,24(2): 47-49.
	YANG H S . The application and realization in a actual problem of cubic spline interpolation[J]. Journal of Xinzhou Teachers University, 2008,24(2): 47-49.
[6]	金维刚，刘会金 . 基于三次样条插值时域采样重构的间谐波检测新算法[J]. 电网技术， 2012,36(7): 74-80.
	JIN W G , LIU H J . A new algorithm for interharmonics measurement based on time domain sampling and reconstruction by cubic spline interpolation[J]. Power System Technology, 2012,36(7): 74-80.
[7]	杨洁，王磊 . 电磁频谱管理技术[M]. 北京：清华大学出版社， 2015.
	YANG J , WANG L . Electromagnetic spectrum management technology[M]. Beijing: Tsinghua University Press, 2015.

Metrics

Recommended 0

No Suggested Reading articles found!

d/m	1	20	40	60	80	100
L₀/dB	166.492 4	192.450 0	198.470 6	201.999 24	204.491 2	206.429 4

Application of cubic spline interpolation in communication engineering

RichHTML

PDF下载

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 8

References 7

Related Articles 3

Metrics

Recommended 0

[1]	Mengzhe ZHANG, Yijun XIA. Status quo, problem and promotion suggestions of 5G application in industrial field [J]. Telecommunications Science, 2023, 39(1): 126-135.
[2]	Feng PAN, Jiawei LIU. Evolution and prospect of 5GtoB application in China [J]. Telecommunications Science, 2022, 38(Z1): 11-16.
[3]	Shan LI, Jiawei LIU. Analysis on the large-scale development stage and analysis method of 5G industry applications [J]. Telecommunications Science, 2022, 38(Z1): 28-35.