一种新的信道复用技术：素数复用
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摘要
信道复用技术是多址技术和交换技术的基础,采用信道复用技术可以提高信道利用率,而每一种新的信道复用技术的开发和利用,都开创了通信领域发展的新阶段。目前数字通信系统中常用的复用技术有:频分复用,时分复用和码分复用。本文提出一种新的信道复用技术:素数复用技术,并建立以素数复用原理为基础的通信系统。
素数复用的数学基础是素数的特性:唯一分解定理。素数复用利用素数积的唯一分解特性来实现数字信号用户的信道复用,利用数1的乘积不变特性来实现全部用户只传信号1,不传信号0的特性,适合用于终端用户复用或终端功能复用。素数复用通信系统的理论基础是信号的线性分割理论,即把用户的数字信号对应到素数正交坐标系中,再利用特殊的方法实现信号的复合与分解。
论文详细论述了素数复用的数学基础、基本原理,素数复用通信系统的工作原理、检错纠错方法、信道容量的估算方法和同步问题的解决方案,并进行了仿真证明。素数复用原理明确,算法简单。其天然的变长度码提高了信道利用率,极高的检错率和高概全错纠正加强了信号传输的可靠性,素数复用积的图样使得自同步法提取帧同步信号十分简便,因此素数复用将会取得重大发展和广泛应用。
最后,本文对素数复用在卫星组网、移动通信和家庭网络等领域的应用进行了探讨。
The method of channel multiplexing is the base of Channel Reuse and Multiple Access technology, which can be used to improve access channel utilization. The implementation and development of a new method of channel multiplexing will lead to a new stage of development of communication. At present, the methods of channel multiplexing are FDMA CDMA TDMA.
This paper presents a new method of channel multiplexing, which is named as Prime-number Division Multiple, and uses its principles on telecommunication system. The method is based on the unique character of prime-numbers product factorization and realizes the channel multiplexing for digital-signal users. According to the product immutability of number 1, all the users can only transfer the logic 1 signals and don’t need transfer the logic 0 signals. It is especially useful for terminals multiplexing or functions multiplexing.
This paper discusses the mathematic base and basic principle of Prime-number Division Multiple, and the work principle, the method of error checking and correction, estimating method of channel capacity, solutions of synchronization of Prime-number Division Multiple communication system. then the proof by simulation is given.
The principle of Prime-number Division Multiple clear and algorithm is simple. Natural alterable code increases channel utilization. The reliability of signal transmitting is enhanced by extremely high error checking and correction probability. The pattern of Prime-number Division Multiple’s product makes it very convenient to get frame synchronization signal by self-synchronization. Prime-number Division Multiple will develop materially and apply abroad.The paper discusses the application of Prime-number Division Multiple in the field of satellite networks, function multiple of telephone and family network in the end.
素数复用的数学基础是素数的特性:唯一分解定理。素数复用利用素数积的唯一分解特性来实现数字信号用户的信道复用,利用数1的乘积不变特性来实现全部用户只传信号1,不传信号0的特性,适合用于终端用户复用或终端功能复用。素数复用通信系统的理论基础是信号的线性分割理论,即把用户的数字信号对应到素数正交坐标系中,再利用特殊的方法实现信号的复合与分解。
论文详细论述了素数复用的数学基础、基本原理,素数复用通信系统的工作原理、检错纠错方法、信道容量的估算方法和同步问题的解决方案,并进行了仿真证明。素数复用原理明确,算法简单。其天然的变长度码提高了信道利用率,极高的检错率和高概全错纠正加强了信号传输的可靠性,素数复用积的图样使得自同步法提取帧同步信号十分简便,因此素数复用将会取得重大发展和广泛应用。
最后,本文对素数复用在卫星组网、移动通信和家庭网络等领域的应用进行了探讨。
The method of channel multiplexing is the base of Channel Reuse and Multiple Access technology, which can be used to improve access channel utilization. The implementation and development of a new method of channel multiplexing will lead to a new stage of development of communication. At present, the methods of channel multiplexing are FDMA CDMA TDMA.
This paper presents a new method of channel multiplexing, which is named as Prime-number Division Multiple, and uses its principles on telecommunication system. The method is based on the unique character of prime-numbers product factorization and realizes the channel multiplexing for digital-signal users. According to the product immutability of number 1, all the users can only transfer the logic 1 signals and don’t need transfer the logic 0 signals. It is especially useful for terminals multiplexing or functions multiplexing.
This paper discusses the mathematic base and basic principle of Prime-number Division Multiple, and the work principle, the method of error checking and correction, estimating method of channel capacity, solutions of synchronization of Prime-number Division Multiple communication system. then the proof by simulation is given.
The principle of Prime-number Division Multiple clear and algorithm is simple. Natural alterable code increases channel utilization. The reliability of signal transmitting is enhanced by extremely high error checking and correction probability. The pattern of Prime-number Division Multiple’s product makes it very convenient to get frame synchronization signal by self-synchronization. Prime-number Division Multiple will develop materially and apply abroad.The paper discusses the application of Prime-number Division Multiple in the field of satellite networks, function multiple of telephone and family network in the end.
引文
[1] 吴树详. 多路复用技术与多址技术. 现代通信, 1997(4):9~10
[2] 管海旻. 多路复用技术的发展与数据速率体系. 信息网络安全, 2005(11),45~47
[3] 李建新, 刘乃安, 刘继平. 现代通信系统分析与仿真. 西安:电子科技大学出版社, 2000:32~42
[4] John, G. Proakis. 数字通信(第四版. 张力军, 张宗橙, 郑宝玉等译). 北京:电子工业出版社, 2003:643~669
[5] 王元. 谈谈素数. 上海教育出版社, 1978.11. 第 1 版:1~10
[6] B. Tuckerman. The 24-th Mersenne Prime. PNAS USA, 1971: 2319～2320
[7] 潘树明. 素数及其快速判定的新方法与应用. 北京冶金工业出版社, 2002:1~6
[8] D. N. Lehmer. Factor table for the first ten millions,Washington, Carnegie Institute,1909:67~74
[9] J. P. Kulik,L. Poletti and R. J. Porter. Liste des nombres premiers du onzieme million (plus precisement de 10,006,741 @ 10,999,997), Amsterdam, 1951:89~102
[10] C. L. Backer and F. L. Gruenberger. The first six million prime numbers. The RAND Corp. Santa Monica,Pub. Microcard Foun;Madison,Wisconsin, 1959:15~33
[11] 李向辉. 信道复用技术与应用. 科技创业月刊, 2006(7):178~179
[12] 樊昌信, 张甫翊, 徐炳祥等. 通信原理(第 5 版). 北京:国防工业出版社, 2001: 368~465
[13] 查光明, 熊贤祚. 扩频通信. 西安:电子科技大学出版社, 2001:1~10
[14] 李喆, 李冬妮, 王光兴. LEO/MEO 卫星网络中运用自组网思想的动态路由算法. 通信学报,2005.5,26(5):50~56
[15] 张登银, 王汝传, 王绍棣. 其于 IP 协议的卫星组网通信关键技术研究. 电信科学, 2003(7):17~21
[16] 王松武, 谭星辰. 手机原理及维修技术. 哈尔滨工程大学出版社, 2000.06. 第 1版:1~37
[17] 吴军, 黄维. 关于家庭网络的思考. 光通信研究, 2006(1):39~41
[18] 彭海清, 冯涛, 童登金. 家庭网络的关键技术、业务及标准化. 电信科学, 2004(11):5~9
[19] 姚智, 张春霞. 计算机数据通信中数据差错产生与检错. 黑龙江水利科技, 2003(1):78~79
[20] 竺南直, 肖辉等. 码分多址(CDMA)移动通信系统. 电子工业出版社, 1999. 4. 第 1 版:1~27
[21] 刘勍, 严春满. 浅议 CDMA 扩频通信技术. 现代物理知识, 2005, 18(4):34~36
[22] 堀场芳数,. 素数的奥秘. 科学出版社, 2000.10. 第 1 版,丁树深译:1~19
[23] 敖立. 家庭网络技术专题. 电信网技术, 2005. 6(6):54~58
[24] 彭海清. 关于家庭网关的思考. 电信科学, 2005(2):39~41
[25] 陈萍, 田红成, 宋维佳等. IPv6 家庭网关的集中控制技术. 大连理工大学学报, 2005. 10, 45(增刊):S1~S4
[26] 毛谦. 家庭网络初探. 信息通信, 2005.04:10~13
[27] 程菊花, 何晓华. 基于机顶盒的家庭网络系统. 科技通报, 2005.07, 21(4):464~ 466
[28] 鲁怀伟, 蒋占军. CRC 检错码校验方法的快速实现. 兰州铁道学院学报(自然科学版), 2001, 20(3):70~72
[29] 白建军, 卢泽新, 彭伟. 具有星间链路的卫星星座网络路由技术研究. 小型微型计算机系统, 2005, 26(10):1687~1692
[30] 苗再良. 数字家庭网络现状和发展趋势. 信息技术与信息化, 2005(3):A7~A10
[31] 王志刚, 王汝传, 王绍棣. 卫星综合网络及其路由技术的研究. 江苏通信技术, 2003, 19(6):14~17
[32] 朱立华, 王汝传. 卫星路由算法研究. 微机发展, 2004, 14(11):7~9
[33] J. Brillbart and G. D. Johnson. On the factors of certain Mersenne numbers. Math. Comp, 1960, 14-553
[34] R. M. Robinson. Areport on primes and on factors of Fermat numbers. PAMS, 1958-678
[35] Digital Home-network Forum. Bridging to CE devices across IP domains, 2004:11~ 14
[36] ITU-T Workshop on Home Network and Home Service. Home network architecture and logical entities, 2004:5~7
[37] ITU-T Workshop on Home Network and Home Service . Home gateway for managing home network QoS, 2004:3~6
[38] ITU-T J. 190. Architecture of MediaHomeNet that supports cable-based services, 2002:1~4
[39] Norman Abramson. Multipe Access in Wireless Digital Networks. Proceeding of the IEEE, 1994(9):725~731
[40] Correia L M,Prasad R. An overview of wireless broadband communication. IEEE Comm Mag, 1997, 35(1):269~277
[41] Henderson T R,Katz R H. Network simulation for LEO satellite networks. Proc of 18th AIAA ICSSC, April 2000:1232~1237
[42] Henderson T R,Katz R H. On distributed,geographic-based packet routing for LEO satellite networks. Proc GLOBECOM, 2000:1119~1123
[43] 金惠文, 陈建亚, 纪红. 现代交换原理. 北京:电子工业出版社, 2000:1~36
[44] 刘震. 小卫星存储/转发式通信的特点与关键技术. 电信技术, 1998, 38(1):20~ 23
[45] 张红旗, 张喜明. 微小卫星自主控制与编队组网技术. 通信系统与网络技术, 2006, 32(2):6~8
[46] 董平, 胡渝. 适合中国的卫星通信组网的星座方案. 电讯技术, 2006(4):108~111
[47] Gounder V,Prakash R,Abuamara H. Routing in LEO-based satellite networks. Wireless Communications and Systems,Emerging Technolog- ies Symposium. Richardson,TX, 1999:509~518
[48] Lee J,Kang S. Satellite over satellite (SOS) network:a novel architecture for satellite network. Proceeding of IEEE INFOCOM. San Fransisco, 2000:315~321
[49] 霍云. 漫谈各种复用技术. 中国有线电视, 2004(16):6~10
[50] Josh B,Johnson D B,Maltz D A. The dynamic source routing in ad hoc wireless network,mobile computing. Kluwer Academic Publishers, 1996:153~181
[51] Royer E M,Toh C K. A review of current routing protocols for ad-hoc mobile networks. IEEE Personal Communications, 1999, 6(2):46~55
[52] Banerjee S,Khuller S. A clustering scheme for hierarchical control in multihop wireless network. Proceedings of IEEE INFOCOM. Anchorage, Alaska, 2001:1028 ~1037
[53] Wood L. Internetworking with satellite constellations. The University of Surrey, 2001:69~92
[54] Yukio Hashimoto,Behcet Sarikaya. Design of IP-based routing in a LEO satellite network. the 3rd International Workshop on Satellite-Based Information Svervices, Mobicom’98, 1998:81~88
[2] 管海旻. 多路复用技术的发展与数据速率体系. 信息网络安全, 2005(11),45~47
[3] 李建新, 刘乃安, 刘继平. 现代通信系统分析与仿真. 西安:电子科技大学出版社, 2000:32~42
[4] John, G. Proakis. 数字通信(第四版. 张力军, 张宗橙, 郑宝玉等译). 北京:电子工业出版社, 2003:643~669
[5] 王元. 谈谈素数. 上海教育出版社, 1978.11. 第 1 版:1~10
[6] B. Tuckerman. The 24-th Mersenne Prime. PNAS USA, 1971: 2319～2320
[7] 潘树明. 素数及其快速判定的新方法与应用. 北京冶金工业出版社, 2002:1~6
[8] D. N. Lehmer. Factor table for the first ten millions,Washington, Carnegie Institute,1909:67~74
[9] J. P. Kulik,L. Poletti and R. J. Porter. Liste des nombres premiers du onzieme million (plus precisement de 10,006,741 @ 10,999,997), Amsterdam, 1951:89~102
[10] C. L. Backer and F. L. Gruenberger. The first six million prime numbers. The RAND Corp. Santa Monica,Pub. Microcard Foun;Madison,Wisconsin, 1959:15~33
[11] 李向辉. 信道复用技术与应用. 科技创业月刊, 2006(7):178~179
[12] 樊昌信, 张甫翊, 徐炳祥等. 通信原理(第 5 版). 北京:国防工业出版社, 2001: 368~465
[13] 查光明, 熊贤祚. 扩频通信. 西安:电子科技大学出版社, 2001:1~10
[14] 李喆, 李冬妮, 王光兴. LEO/MEO 卫星网络中运用自组网思想的动态路由算法. 通信学报,2005.5,26(5):50~56
[15] 张登银, 王汝传, 王绍棣. 其于 IP 协议的卫星组网通信关键技术研究. 电信科学, 2003(7):17~21
[16] 王松武, 谭星辰. 手机原理及维修技术. 哈尔滨工程大学出版社, 2000.06. 第 1版:1~37
[17] 吴军, 黄维. 关于家庭网络的思考. 光通信研究, 2006(1):39~41
[18] 彭海清, 冯涛, 童登金. 家庭网络的关键技术、业务及标准化. 电信科学, 2004(11):5~9
[19] 姚智, 张春霞. 计算机数据通信中数据差错产生与检错. 黑龙江水利科技, 2003(1):78~79
[20] 竺南直, 肖辉等. 码分多址(CDMA)移动通信系统. 电子工业出版社, 1999. 4. 第 1 版:1~27
[21] 刘勍, 严春满. 浅议 CDMA 扩频通信技术. 现代物理知识, 2005, 18(4):34~36
[22] 堀场芳数,. 素数的奥秘. 科学出版社, 2000.10. 第 1 版,丁树深译:1~19
[23] 敖立. 家庭网络技术专题. 电信网技术, 2005. 6(6):54~58
[24] 彭海清. 关于家庭网关的思考. 电信科学, 2005(2):39~41
[25] 陈萍, 田红成, 宋维佳等. IPv6 家庭网关的集中控制技术. 大连理工大学学报, 2005. 10, 45(增刊):S1~S4
[26] 毛谦. 家庭网络初探. 信息通信, 2005.04:10~13
[27] 程菊花, 何晓华. 基于机顶盒的家庭网络系统. 科技通报, 2005.07, 21(4):464~ 466
[28] 鲁怀伟, 蒋占军. CRC 检错码校验方法的快速实现. 兰州铁道学院学报(自然科学版), 2001, 20(3):70~72
[29] 白建军, 卢泽新, 彭伟. 具有星间链路的卫星星座网络路由技术研究. 小型微型计算机系统, 2005, 26(10):1687~1692
[30] 苗再良. 数字家庭网络现状和发展趋势. 信息技术与信息化, 2005(3):A7~A10
[31] 王志刚, 王汝传, 王绍棣. 卫星综合网络及其路由技术的研究. 江苏通信技术, 2003, 19(6):14~17
[32] 朱立华, 王汝传. 卫星路由算法研究. 微机发展, 2004, 14(11):7~9
[33] J. Brillbart and G. D. Johnson. On the factors of certain Mersenne numbers. Math. Comp, 1960, 14-553
[34] R. M. Robinson. Areport on primes and on factors of Fermat numbers. PAMS, 1958-678
[35] Digital Home-network Forum. Bridging to CE devices across IP domains, 2004:11~ 14
[36] ITU-T Workshop on Home Network and Home Service. Home network architecture and logical entities, 2004:5~7
[37] ITU-T Workshop on Home Network and Home Service . Home gateway for managing home network QoS, 2004:3~6
[38] ITU-T J. 190. Architecture of MediaHomeNet that supports cable-based services, 2002:1~4
[39] Norman Abramson. Multipe Access in Wireless Digital Networks. Proceeding of the IEEE, 1994(9):725~731
[40] Correia L M,Prasad R. An overview of wireless broadband communication. IEEE Comm Mag, 1997, 35(1):269~277
[41] Henderson T R,Katz R H. Network simulation for LEO satellite networks. Proc of 18th AIAA ICSSC, April 2000:1232~1237
[42] Henderson T R,Katz R H. On distributed,geographic-based packet routing for LEO satellite networks. Proc GLOBECOM, 2000:1119~1123
[43] 金惠文, 陈建亚, 纪红. 现代交换原理. 北京:电子工业出版社, 2000:1~36
[44] 刘震. 小卫星存储/转发式通信的特点与关键技术. 电信技术, 1998, 38(1):20~ 23
[45] 张红旗, 张喜明. 微小卫星自主控制与编队组网技术. 通信系统与网络技术, 2006, 32(2):6~8
[46] 董平, 胡渝. 适合中国的卫星通信组网的星座方案. 电讯技术, 2006(4):108~111
[47] Gounder V,Prakash R,Abuamara H. Routing in LEO-based satellite networks. Wireless Communications and Systems,Emerging Technolog- ies Symposium. Richardson,TX, 1999:509~518
[48] Lee J,Kang S. Satellite over satellite (SOS) network:a novel architecture for satellite network. Proceeding of IEEE INFOCOM. San Fransisco, 2000:315~321
[49] 霍云. 漫谈各种复用技术. 中国有线电视, 2004(16):6~10
[50] Josh B,Johnson D B,Maltz D A. The dynamic source routing in ad hoc wireless network,mobile computing. Kluwer Academic Publishers, 1996:153~181
[51] Royer E M,Toh C K. A review of current routing protocols for ad-hoc mobile networks. IEEE Personal Communications, 1999, 6(2):46~55
[52] Banerjee S,Khuller S. A clustering scheme for hierarchical control in multihop wireless network. Proceedings of IEEE INFOCOM. Anchorage, Alaska, 2001:1028 ~1037
[53] Wood L. Internetworking with satellite constellations. The University of Surrey, 2001:69~92
[54] Yukio Hashimoto,Behcet Sarikaya. Design of IP-based routing in a LEO satellite network. the 3rd International Workshop on Satellite-Based Information Svervices, Mobicom’98, 1998:81~88