| 连续相位调制中的代数结构 |
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| 引用本文： | 陈常嘉,陈太一. 连续相位调制中的代数结构[J]. 北京交通大学学报(自然科学版), 1993, 0(2) |
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| 作者姓名： | 陈常嘉 陈太一 |
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| 作者单位： | 北方交通大学通信与控制工程系，南京通信工程学院 |
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| 摘 要： | 在介绍连续相位调制的有限自动机定义方法之后,讨论了连续相位调制状态序列生成马尔柯夫链状态转移矩阵的循环性质.在此基础上研究了循环矩阵作用于循环矢量上的特珠性质.作为这一理论的一个应用,本文用简单初等的代数运算给出了连续相位调制功率谱密度的简洁公式.
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| 关 键 词： | 调制 马尔柯夫链 功率谱密度/环同构 |
The Algebraic Structure in CPM |
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| Chen Chengjia. The Algebraic Structure in CPM[J]. JOURNAL OF BEIJING JIAOTONG UNIVERSITY, 1993, 0(2) |
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| Authors: | Chen Chengjia |
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| Affiliation: | Chen Chengjia(Department of Communication and Control)Chen Taiyi(Nanjing Instiute of Communication Engineering) |
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| Abstract: | The cyclic characteristic of the transition matrix for the state of Markov chain of CPM is discussed after a simple introduction to the finite state machine defined for the continuous phasa modulation (CPM). On this bases, the ring isomorphism between cyclic matrices and polynomial ring R(x)/(x~q-1), and the property of applying a cyclic matrix to a cyclic vector as well, are studied. As an application, the mean power spectrum of CPM is derived by using very elementary algebraic method. |
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| Keywords: | modulation Markov chains power spectral density/ring isomorphism |
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