基于判决反馈的CPFSK信号非相干多符号检测算法

doi:10.11959/j.issn.1000-436x.2016084

摘要/Abstract

摘要：

针对传统多符号检测算法存在的计算复杂度高、工程实现难度大等问题，提出了基于判决反馈思想的改进算法。该算法利用已判决的码元信息，对观测长度内所有可能发送波形进行筛选，从而减少码元判决时所需的相关器数量，降低算法的检测复杂性。在低信噪比和高信噪比2种情况下推导出改进算法误码性能的联合上边界，并基于网格最小欧氏距离求得其性能下边界，明确界定了改进算法的误码性能。理论分析和仿真结果都表明，与传统算法相比，在不损失检测性能的前提下，改进算法的复杂度随着反馈码元个数的增加呈负指数幂减少。

关键词: CPFSK, 非相干多符号检测, 判决反馈, 平均匹配滤波

Abstract:

There is a great deal of issues in the traditional symbol detection algorithm such as high computational com-plexity and large engineering implementation difficulty. Considering these problems, an improved algorithm based on decision feedback was proposed. To reduce complexity, the approach in which ruling element information was employed to filter waveforms during length of observing bits. Besides, the theoretical performance was approved by a composition of upper bound and lower bound. Specifically, the form is a union bound which consists of being tight at high SNR and being tight at low SNR, the latter can be obtained by grid minimum Euclidean distance. Theoretical analysis and si-mulation results show that compared with the traditional algorithm, the improved algorithm could keep no loss of detec-tion performance, but the complexity is reduced at negative exponent power way with the increase of number of feedback element.

Key words: CPFSK, noncoherent multiple symbol detection, decision feedback, average matched filter

陈强,芮国胜,孙文军,田文飚,张洋. 基于判决反馈的CPFSK信号非相干多符号检测算法[J]. 通信学报, 2016, 37(4): 172-181.

Qiang CHEN,Guo-sheng RUI,Wen-jun SUN,Wen-biao TIAN,Yang ZHANG. Noncoherent multiple symbol detection of CPFSK based on decision-feedback[J]. Journal on Communications, 2016, 37(4): 172-181.

图/表 9

图1

图2

图3

图4

图5

图6

图7

图8

图9

参考文献 18

[1]	沙楠，高媛媛，益晓新．基于连续相位频移键控调制的物理层网络编码检测及性能分析[J]．电子与信息学报， 2014,36(6):1454-1459. SHA N , GAO Y Y , YI X X . Physical-layer network coding based on CPFSK modulation detection and performance analysis[J]. Journal of Electronics ＆ Information Technology, 2014,36(6):1454-1459.
[2]	GOTTFRIED U . Adaptive maximum-likehood receiver for carri-er-modulated data-transmission systems[J]. IEEE Trans on Wireless Communications, 1974,22(6):624-636.
[3]	贾哲，张欣轶．微波通信中连续相位调制的非相干检测算法[J]．电波科学学报， 2007,22(3):522-526. JIA Z , ZHANG X Y . A noncoherent detection algorithm for CPM in microwave communication[J]. Chinese Journal of Radio Science, 2007,22(3):522-526.
[4]	PELCHAT M G , ADAMS S L . Noncoherent detection of continous phase binary FSK[C]// Proc Int Conf Communication, Montreal, Canada, c1971:4.
[5]	OSBORNE W P , LUNTZ M B . Coherent and noncoherent detection of CPFSK[J]. IEEE Transactions on Wireless Communications, 1974,22(8):1023-1036.
[6]	SCHONHOFF T A . Symbol error probabilities for mary CPFSK:coherent and noncoherent detection[J]. IEEE Transactions on Wireless Communications, 1976,24(6):644-652.
[7]	杨友福，刘建伟，张其善，等．基于多符号分组的 CPM 软输出非相干检测算法[J]．通信学报， 2012,33(8):113-118. YANG Y F , LIU J W , ZHANG Q S, ， et al. Multiple symbol soft-output non-coherent detection of serial concatenated CPM[J]. Journal on Communications, 2012,33(8):113-118.
[8]	孙锦华，李建东，金力军．连续相位调制的非相干减少状态差分序列检测算法[J]．电子与信息学报， 2005,27(8):1338-1341. SUN J H , LI J D , JIN L J . Noncoherent reduced state differential se-quence detection of continuous phase modulation[J]. Jo nal of Elec-tronics ＆ Information Technology, 2005,27(8):1338-1341.
[9]	LOTTICI V , TIAN Z . Multiple symbol differential detection for UWB communications[J]. IEEE Transactions on Wireless Commu ications, 2008,7(5):1656-1666.
[10]	SCHENK A , FISCHER R F H , LAMPE L . A new stopping criterion for the sphere decoder in UWB impulse-radio multiple-symbol diffe-rential detection[C]// IEEE Int Conf Ultra-Wideband(ICUWB), Vancouver, Canada, c2009:589-594.
[11]	JALDEN J , OTTERSTEN B . On the complexity of sphere decoding in digital communications[J]. IEEE Trans Signal Process, 2005,53(4):1474-1484.
[12]	SCHENK A , FISCHER R F H . Decision-feedback differential detec-tion in impulse-radio ultra-wideband systems[J]. IEEE Transactions on Wireless Communications, 2011,59(6):1604-1611.
[13]	王欣，李颖，魏急波．一种低复杂度的差分酉空时调制多符号球形译码算法[J]．电子与信息学报， 2007,29(9):2199-2202. WANG X , LI Y , WEI J B . A low complexity multiple-symbol differential sphere decoding for differential unitary space-time modulation[J]. Journal of Electronics ＆ Information Technology, 2007,29(9):2199-2202.
[14]	王莉，袁福，郑林华，等．遥测PCM/FM 信号的低复杂度多符号检测算法[J]．计算机应用研究， 2013,30(10):3065-3070. WANG L , YUAN F , ZHENG L H ， et al. Low-complexity mul-ti-symbol detection algorithm for telemetry PCM/FM signal[J]. Ap-plication Research of Computers, 2013,30(10):3065-3070.
[15]	ZHOU Q , MA X L . Designing low-complexity near-optimal mul-tiple-symbol detectors for impulse radio UWB systems[J]. IEE Transactions on Signal Processing, 2012,60(5):2460-2469.
[16]	PROAKIS J G 著，张立军等译．数字通信[M]．北京：电子工业出版社， 2010:135-140. PROAKIS J G , ZHANG L J . Digital communications[M]. Beijing: Electronic Industry Press, 2010:135-140.
[17]	ANDERSON J , AULIN T , SUNDBERG C E . Digital phase modula-tion[M]. New York: Plenum Publishing Company, 1986.
[18]	盛骤，谢式千，潘承毅．概率论与数理统计[M]．北京：高等教育学出版社， 2005:94-95. SHENG Z , XIE S Q , PAN C Y . Theory of probability and mathemati-cal statistic[M]. Beijing: Higher Education Press, 2005:94-95.