Multi-h CPM 信号的有限状态时序机表示

doi:10.3969/j.issn.1000-565X.2013.01.008

华南理工大学学报（自然科学版） ›› 2013, Vol. 41 ›› Issue (1): 52-57,69.doi: 10.3969/j.issn.1000-565X.2013.01.008

• 电子、通信与自动控制 • 上一篇下一篇

Multi-h CPM 信号的有限状态时序机表示

钟声¹ 张健¹ 杨春¹ 王鹏¹ 刘璐²

1. 中国工程物理研究院电子工程研究所, 四川绵阳 621900; 2. 国防科学技术大学电子科学与工程学院, 湖南长沙 410073

收稿日期:2012-06-11 修回日期:2012-09-21 出版日期:2013-01-25 发布日期:2012-12-03
通信作者: 钟声(1981-),男,博士生,主要从事遥测遥控与Multi-h CPM 技术研究. E-mail:zhongsheng0621@163.com
作者简介:钟声(1981-),男,博士生,主要从事遥测遥控与Multi-h CPM 技术研究.
基金资助:
国家自然科学基金-中物院NASF 联合基金资助项目(10876103)

Representation of Multi-h CPM Signals Through Finite-StateSequential Machine

Zhong Sheng¹ Zhang Jian¹Yang Chun¹ Wang Peng¹ Liu Lu²

1. Institute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621900, Sichuan, China;2. School of Electronic Science and Engineering, National University of Defense and Technology, Changsha 410073, Hunan, China

Received:2012-06-11 Revised:2012-09-21 Online:2013-01-25 Published:2012-12-03
Contact: 钟声(1981-),男,博士生,主要从事遥测遥控与Multi-h CPM 技术研究. E-mail:zhongsheng0621@163.com
About author:钟声(1981-),男,博士生,主要从事遥测遥控与Multi-h CPM 技术研究.
Supported by:
国家自然科学基金-中物院NASF 联合基金资助项目(10876103)

摘要/Abstract

摘要： 为获得多指数连续相位调制( Multi-h CPM) 信号更为简洁的脉冲幅度调制(PAM)分解形式,提出了一种用有限状态时序机表示Multi-h CPM 信号的新算法. 该算法利用调制指数循环周期变化的特性,通过基本波形分解算法,将Multi-h CPM 信号表示为周期时不变的有限状态时序机和周期时不变的PAM 调制器的级联结构;然后通过限定输入符号进制数为偶数,将时序机的状态转移过程描述成一个可约的、周期平稳的、非齐次Markov 链. 文中采用该算法对不同调制指数下的状态转移过程进行算例验证,并给出了算法的最佳接收机模型和仿真结果. 与传统的PAM 最优检测算法相比,文中算法的检测性能可达到理论值,而网格状态数仅为PAM 最优检测算法的一半.

关键词: 多指数连续相位调制, BD 分解, 周期时不变, 有限状态时序机, PAM 调制器, Markov 链

Abstract:

In order to acquire more compact form of PAM (Pulse Amplitude Modulation) decomposition of Multi-hCPM (Continuous Phase Modulation) signals, a novel algorithm to represent Multi-h CPM signals through a finite-state sequential machine (SM) is presented. In this algorithm, based on the periodically varying modulation index,Multi-h CPM signals are represented as the cascade of a periodically time-invariant (PTI) finite-state SM and abank of PTI PAM modulator via the basic waveform decomposition. Then, the state transition process is describedas a reducible and cyclostationary non-homogenous Markov chain by defining even input alphabet ary. The processof state transition with different modulation indexes is validated through some examples, and the model of optimal re-ceiver as well as the simulation results is presented. As compared with the conventional optimal detection algorithmbased on PAM decomposition, the proposed algorithm attains the theoretical detection performance with half numberof trellis.

Key words: multi-h continuous phase modulation, basic waveform decomposition, periodical time invariability, finite-state sequential machine, pulse amplitude modulator, Markov chain

中图分类号:

TN927

钟声张健杨春王鹏刘璐. Multi-h CPM 信号的有限状态时序机表示[J]. 华南理工大学学报（自然科学版）, 2013, 41(1): 52-57,69.

Zhong Sheng Zhang Jian Yang Chun Wang Peng Liu Lu. Representation of Multi-h CPM Signals Through Finite-StateSequential Machine[J]. Journal of South China University of Technology (Natural Science Edition), 2013, 41(1): 52-57,69.

Multi-h CPM 信号的有限状态时序机表示

Representation of Multi-h CPM Signals Through Finite-StateSequential Machine

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