A Study of the Stochastic and Spectral Distribution for the Wide-Interval Frequency-Hopped Pattern Based on the Markov's Process

GUAN Sheng-yong; YAO Fu-qiang

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A Study of the Stochastic and Spectral Distribution for the Wide-Interval Frequency-Hopped Pattern Based on the Markov's Process

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- A Study of the Stochastic and Spectral Distribution for the Wide-Interval Frequency-Hopped Pattern Based on the Markov's Process
- Acta Electronica Sinica Vol. 31, Issue 7, Pages: 998-1001(2003)
- 作者机构：
  
  南京电讯技术研究所,江苏,南京,210007
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN914.41
- Published：2003
- 稿件说明：
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GUAN Sheng-yong, YAO Fu-qiang. A Study of the Stochastic and Spectral Distribution for the Wide-Interval Frequency-Hopped Pattern Based on the Markov's Process[J]. Acta Electronica Sinica, 2003, 31(7): 998-1001.
DOI：

GUAN Sheng-yong, YAO Fu-qiang. A Study of the Stochastic and Spectral Distribution for the Wide-Interval Frequency-Hopped Pattern Based on the Markov's Process[J]. Acta Electronica Sinica, 2003, 31(7): 998-1001. DOI：

摘要

本文给出了和宽间隔跳频地址码序列相对应的Markov过程模型

并基于此模型研究了具有实对称特性的

q元宽间隔跳频地址码序列的一步转移概率矩阵P和n步转移概率矩阵P

(n)

及n步转移概率p

(n)

给出了最小间隔d=1时p

(n)

的解析表达式和d＞1时以用正交矩阵和特征矩阵来表示的p

(n)

一般表达式.然后

根据一般形式的P

(n)

定义了q元宽间隔跳频地址码序列的自相关函数和N

步谱.最后给出了谱分析的理论推导和计算的结果.

Abstract

In this paper

a model based on the Markov's chain is given for the wide-interval frequency-hopped sequence of

-states (

-WDFHS).Based on the model

the probability distribution of the

-WDFHS can be written out through its 1-step and

-step transition probability matrices

and

(n)

.By deriving the analytical expression of

(n)

and

(n)

this paper provides the spectral characteristics of a

-WDFHS.Through the calculation of the spectrum distribution

this paper shows that the spectrum of a

-WDFHS with smaller interval is flatter and more concentrated on the domain of low frequencies

while those with larger intervals have more components of high frequency and sharper spectrum distribution.

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