CPM编码调制系统的基本性能限

doi:10.3969/j.issn.1000-436x.2014.03.021

摘要/Abstract

摘要：

针对CPM系统的信道容量研究结果进行了综述，并推导计算了Rayleigh衰落信道下CPM的容量分析方法与计算结果。首先回顾了CPM系统的基本概念及其有限状态马尔可夫模型，并对AWGN信道下CPM的可达信息速率计算方法进行了讨论；然后将其推广到Rayleigh衰落信道，推导出在该信道下计算CPM容量的算法。考虑了接收端已知信道状态信息及未知信道状态信息2种情况。在导出容量计算的算法后，通过Monte Carlo仿真给出了在AWGN及Rayleigh衰落信道下几种典型CPM方案的容量曲线。

关键词: 连续相位调制, 信道容量, Rayleigh衰落信道, Monte-Carlo仿真, 综述

Abstract:

The study of the capacity of CPM systems was concerned with.The definition as well as the Finite-State-Machine (FSM) model of CPM was introduced.The development of calculating the capacity of CPM over AWGN channels was first reviewed.Then this methodology was generalized to deal with Rayleigh fading channels.The Monte-Carlo based algorithms were derived to calculate the capacity of CPM over Rayleigh fading channels with and without knowing channel-state-information(CSI).The proposed algorithms were justified by some numerical results of some typical CPM schemes.

Key words: continuous phase modulation, channel capacity, Rayleigh fading channel, Monte-Carlo simulation, review

黎昞,魏帆,白宝明,马啸. CPM编码调制系统的基本性能限[J]. 通信学报, 2014, 35(3): 183-192.

Bing LI,Fan WEI,Bao-ming BAI,Xiao MA. Fundamental performance limits of CPM coded modulation system[J]. Journal on Communications, 2014, 35(3): 183-192.

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参考文献 48

[1]	ANDERSON J B , AULIN T , SUNDBERG C E . Digital Phase Modulation[M]. New York: Plenum Press, 1986.
[2]	MOULY M , PAUTET M B . The GSM System for Mobile Communications[M]. Paris:Cell ＆ Sys, 1992.
[3]	Bluetooth Organinzation.Specification adopted documents[EB/OL]. .
[4]	MIL-STD-188-181B. Interoperability Standard for Single Access 5-kHz and 25-kHz UHF Satellite Communications Channels[S]. 1999.
[5]	PERRINS E , RICE M . Reduced complexity detectors for multi-h CPM in aeronautical telemetry[J]. IEEE Transactions on Aerospace and Electronic Systems, 2007,43(1): 286-300.
[6]	ORR R S , DIVSALAR D . CPM/PN modulation and ranging for bandwidth-limited multiple access links[A]. Proceedings of Aerospace Conference[C]. Big Sky,MT, 2011. 1-27.
[7]	CHUGG K M , GRAY P , WARD R . Flexible Coding for 802.11n MIMO Systems[S]. 2004.
[8]	MOQVIST P , AULIN T M . Serially concatenated continuous phase modulation with iterative decoding[J]. IEEE Transactions on Communications, 2011,49(11): 1901-1915.
[9]	MOQVIST P . Multiuser Serially Concatenated Continuous Phase Modulation[D]. Sweden: Chalmers University of Technology, 2002.
[10]	MING X , AULIN T M . Serially concatenated continuous phase modulation with convolutional codes over rings[J]. IEEE Transactions on Communications, 2006,54(8): 1385-1396.
[11]	PEROTTI A , TARABLE A , BENEDETTO S . Capacity achieving CPM schemes[J]. IEEE Transactions on Information Theory, 2010,56(4): 1521-1541.
[12]	AMAT A , NOUR C A , DOUILLARD C . Serially concatenated continuous phase modulation for satellite communications[J]. IEEE Transactions on Wireless Communications, 2009,8(6): 3260-3269.
[13]	孙锦华，李建东，金力军等．串行级联CPM的一种简化状态SISO迭代译码算法[J]．中国科学， 2007,37(8):1055-1065. SUN J H , LI J D , JIN L J . A simplified state SISO iterative decoding algorithm for serially concatenated continuous phase modulation[J]. Science in China, 2007,37(8):1055-1065.
[14]	BARBIERI A , FERTONANI D , COLAVOLPE G . Spectrally-efficient continuous phase modulations[J]. IEEE Transactions on Wireless Communications, 2009,8(3): 1564-1572.
[15]	BOKOLAMULLA D , AULIN T . Multiuser detection for continuous phase modulation over Rayleigh fading channels[J]. IEEE Communications Letters, 2005,9(10): 906-908.
[16]	MOQVIST P , AULIN T . Multiuser serially concatenated continuous phase modulation[A]. Proceedings of International Symposium on Turbo Codes[C]. Brest,France, 2003. 211-214.
[17]	REMLEIN P , JASINSKI M , PEROTTI A . Receiver algorithm for coded multiuser CPM systems[J]. IEEE Electronic Letters, 2012,48(11): 633-635.
[18]	HAZEWINKEL M . Encyclopedia of Mathematics[M]. New York: Springer, 2001.
[19]	SHANNON C E . A mathematical theory of communication[J]. The Bell System Technical Journal, 1948,27: 379-423,623-656.
[20]	GRIMMETT G R , STIRZAKER D R . Probability and Random Processes[M]. Oxford: Oxford University Press, 2001.
[21]	COVER T , THOMAS J . Elements of Information Theory[M]. New York: Wiley, 1991.
[22]	HIRT W . Capacity and Information Rates of Discrete-Time Channels with Memory[D]. Switzerland: Eidgen?ssische Technische Hochschule Zürich, 1988.
[23]	ZEHAVI E , WOLF J K . On runlength codes[J]. IEEE Transactions on Information Theory, 1988,34(1): 45-54.
[24]	SHAMAI(SHITZ) S , OZAROW L H , WYNER A D . Information rates for a discrete-time Gaussian channel with intersymbol interference and stationary inputs[J]. IEEE Transactions on Information Theory, 1991,37(6): 1527-1539.
[25]	SHAMAI(SHITZ) S , LAROIA R . The intersymbol interference channel:lower bounds on capacity and channel precoding loss[J]. IEEE Transactions on Information Theory, 1996,42(5): 1388-1404.
[26]	SHAMAI(SHITZ) S , KOFMAN Y . On the capacity of binary and Gaussian channels with run-length-limited inputs[J]. IEEE Transactions on Communications, 1990,38(5): 584-594.
[27]	MUSHKIN M , BAR-DAVID I . Capacity and coding for the Gilbert-Elliott channel[J]. IEEE Transactions on Information Theory, 1989,35(6): 1277-1290.
[28]	GOLDSMITH A J , VARAIYA P P . Capacity,mutual information,and coding for finite-state Markov channels[J]. IEEE Transactions on Information Theory, 1996,42(3): 868-886.
[29]	ARNOLD D , LOELIGER H A , VONTOBEL P A . Simulation-based computation of information rates for channels with memory[J]. IEEE Transactions on Information Theory, 2006,52(8): 3498-3508.
[30]	BAHL L , COCKE J , JELINEK F . Optimal decoding of linear codes for minimizing symbol error rate[J]. IEEE Transactions on Information Theory, 1974,20(3): 284-287.
[31]	KSCHISCHANG F R , FREY B J , LOELIGER H A . Factor graphs and the sum-product algorithm[J]. IEEE Transactions on Information Theory, 2001,47(2): 498-519.
[32]	KUO C H , CHUGG K M . On the bandwidth efficiency of CPM signals[A]. Proceedings of IEEE Military Communications Conference (MILCOM)[C]. Monterey,CA, 2004. 218-224.
[33]	YU K , GOLDSMITH A . Linear models and capacity bounds for continuous phase modulation[A]. IEEE International Conference on Communications(ICC)[C]. New York, 2002. 722-726.
[34]	LAURENT P A . Exact and approximate construction of digital phase modulations by superposition of amplitude modulated pulses[J]. IEEE Transactions on Communications, 1986,34(2): 150-160.
[35]	CHENG S , VALENTI M C , TORRIERI D . Coherent and multi-symbol noncoherent CPFSK:capacity and code design[A]. Proceedings of IEEE Military Communications Conference(MILCOM)[C]. Orlando,FL, 2007. 1-7.
[36]	KUO C H , CHUGG K M . Improving the bandwidth efficiency and of CPM signals via shaping and iterative detection[A]. Proceedings of IEEE Military Communications Conference(MILCOM)[C]. Atlantic City,NJ, 2005. 596-602.
[37]	BARBIERI A , FERTONANI D , COLAVOLPE G . Spectrally-efficient continuous phase modulations[J]. IEEE Transactions on Wireless Communications, 2009,8(3): 1564-1572.
[38]	PIEMONTESE A , AMAT A G I , COLAVOLPE G . Information-theoretic analysis and practical coding schemes for spectrally efficient FDM-CPM systems[A]. Proceedings of 6th International Symposium on Turbo Codes and Iterative Information Processing (ISTC)[C]. Brest,France, 2010. 275-279.
[39]	, , , et al. . , ,(): -.
[40]	霍翠平，牛凯．基于 BCJR 算法的低复杂度 CPM 信号信道容量值计算[EB/OL]. , 2011. HUO C P , NIU K . Low complexity CPM channel capacity calculation based on BCJR algorithm[EB/OL]. , 2011.
[41]	王珏．多维TCM及CPM编码调制技术研究[D]．西安：西安电子科技大学， 2011. WANG J . Research on Multidimensional Trellis-Coded Modulation and Continuous-Phase Modulation Techniques[D]. Xi'an: Xidian University, 2011.
[42]	胡玓秀，雷霞，李强．基于连续相位调制的协同分集系统在平坦衰落信道下的容量分析[J]．信号处理， 2011,27(7):1076-2081. HU D X , LEI X , LI Q . Capacity for cooperative diversity system based on continuous phase modulation in flat fading channel[J]. Signal Processing, 2011,27(7):1076-2081.
[43]	BARRON A R . The strong ergodic theorem for densities:generalized Shannon-McMillan-Breiman theorem[J]. The Annals of Probability, 1985,13(4): 1292-1303.
[44]	LEROUX B G . Maximum-likelihood estimation for hidden Markov models[J]. Stochastic Processes and their Applications, 1992,40(1): 127-143.
[45]	EPHRAIM Y , MERHAV N . Hidden Markov processes[J]. IEEE Transactions on Information Theory, 2002,48(6): 1518-1569.
[46]	PADMANABHAN K , RANGANATHAN S , SUNDARAVARADHAN S P . General CPM and its capacity[A]. Proceedings of International Symposium on Information Theory[C]. Adelaide,Australia, 2005. 750-754.
[47]	CHENG S , SEHSHADRI R I , VALENTI M . The capacity of noncoherent continuous-phase frequency shift keying[A]. Proceedings of 41st Annual Conference on Information Sciences and Systems (CISS)[C]. Baltimore,MD, 2007. 396-401.
[48]	STARK W E . Capacity and cutoff rate of noncoherent FSK with nonselective Rician fading[J]. IEEE Transactions on Communications, 1985,33(11): 1153-1159.

CPM方案	调制阶数M	调制指数h	FSM状态数
	2	1/2 (MSK)	4
		1/3	6
		1/4	8
1REC		1/8	16
1REC	4	1/2	4
		1/3	6
		1/4	8
		1/8	16
	2	1/2	8
		1/3	12
		1/4	16
2RC		1/8	32
2RC	4	1/2	8
		1/3	24
		1/4	32
		1/8	64
	2	1/2	16
		1/3	24
3RC		1/4	32
3RC	4	1/2	64
		1/3	96
		1/4	128