自熄式超再生接收机动力学特性研究

论文总字数：22711字

摘 要

Abstract 5

自熄灭超再生接收机动力学研究 1

第一章 绪论 1

1.1 研究背景 1

1.2 国内外研究状况简介 1

1.3 本课题的研究目标和出发点以及主要内容 2

第二章 自熄灭式超再生接收机 4

2.1 传统超再生接收机的原理 4

2.2 自熄灭超再生接收机原理简介 5

2.3二阶非线性时变微分方程的简单介绍 7

2.4 超再生接收机工作原理的数学分析 7

第三章 混沌现象与超再生振荡器电路中微分方程的提取 9

3.1 混沌现象简介和几种混沌判别法 9

3.2 超再生振荡器电路中混沌微分方程的提取 10

第四章 自熄式超再生接收机现象的Simulink仿真 15

4.1 自熄灭超再生无线接收机系统框图 15

4.1.1 发射信号设计 16

4.1.2 振荡器模块设计 16

4.1.3 Display模块 17

4.1.4 示波器观察 17

4.2 超再生振荡器混沌微分方程的Simulink仿真 18

4.3 自熄灭式超再生接收机的混沌现象仿真分析 19

4.3.1 输出波形分析 19

4.3.2 庞加莱截面图 20

4.3.4 频谱图 24

4.3.5 仿真分析 25

第五章 结论与分析 25

5.1 总结与分析 26

5.2 展望 26

参考文献 28

致 谢 28

摘 要

自熄式超再生接收机是基于超再生接收机的一种特殊的接收机，它采用自熄灭机制，这使得它的性能比一般超再生接收机更加优越。而超再生接收机从诞生至今已存在近百年，其一经发明就有着十分广泛的应用，它不仅具有相对优秀的性能，更重要的是只用到极为简单的结构却能保证一定的能效，大大降低了制造成本和简单结构功耗，也大大降低了接收机的制造难度，。由于超再生接收机的电路特性，其反馈放大器的三极管使得其放大性能成非线性模式。由于非线性的特殊性质，往往非线性方程在一定条件下可以产生许多有趣的现象，混沌就是其中之一。混沌是确定性和随机性的统一。阿姆斯特朗首次提出基于电子管的超再生接收机后，发现超再生振荡器在完全起振之前小段时间内，电流是不规则的。这就是超再生接收机中的混沌现象。

本文首先对超再生接收机的背景作了一些简单的介绍，引出本课题的研究意义，针对当时提出的混沌现象继续研究。接着介绍了传统的超再生接收机的基本原理，然后对改进的自熄灭起振的超再生接收机进行介绍。对于超再生振荡器中最重要的超再生振荡器进行方程提取和电路分析，并且对电路进行数学分析，相比于线性分析，采用更准确的方程，这对于得到更准确的仿真有帮助。基于课题组的研究基础上，在高频上对混沌现象进行仿真，这样更贴近实际电路，提供了更贴近实际的仿真，使得仿真结果更加准确且有说服力，混沌分析方法中本文不仅从定性的庞加莱截面法，而且从lyapunov指数法等定量方法更准确的进行分析。通过以上分析结果，观察不同淬灭频率下超再生接收机的非线性动态特性，对混沌现象进行交叉验证。最后根据混沌动力学变化特性，探讨基于混沌信号检测初步方案。

关键词：混沌现象； 超再生接收机； 非线性； Lyapunov指数法；庞加莱截面法

Abstract

The self-extinguishing super regenerative receiver is a special receiver based on a super regenerative receiver, which adopts a self-extinguishing mechanism, which makes its performance superior to that of a general super regenerative receiver. The super-regeneration receiver has existed for nearly a hundred years since its birth. It has been widely used since its invention. It not only has relatively good performance, but more importantly, it only uses extremely simple structure but can guarantee certain energy efficiency. Reduced manufacturing costs and simple structure power consumption, and greatly reduced the difficulty of manufacturing the receiver. Due to the circuit characteristics of the super regenerative receiver, the triode of its feedback amplifier makes its amplification performance into a nonlinear mode. Due to the special nature of nonlinearity, nonlinear equations often produce many interesting phenomena under certain conditions, and chaos is one of them. Chaos is the unity of determinism and randomness. After Armstrong first proposed a super-regeneration receiver based on an electron tube, it was found that the super-regenerative oscillator was irregular in a small period of time before it was fully oscillated. This is the chaos in super regenerative receivers.

This paper first gives a brief introduction to the background of the super-regeneration receiver, and draws the research significance of this topic, and continues to study the chaos phenomenon proposed at that time. Then the basic principle of the traditional super regenerative receiver is introduced, and then the improved self-extinguishing super-regeneration receiver is introduced. For the most important super regenerative oscillator in the super regenerative oscillator, the equation extraction and circuit analysis, and the mathematical analysis of the circuit, compared to the linear analysis, the use of more accurate equations, which is helpful for more accurate simulation. Based on the research of the research group, the chaotic phenomenon is simulated at high frequency, which is closer to the actual circuit and provides a more realistic simulation, which makes the simulation result more accurate and persuasive. The chaotic analysis method is not only qualitative. The Poincaré cross-section method is more accurately analyzed from quantitative methods such as the lyapunov exponential method. Through the above analysis results, the nonlinear dynamic characteristics of the super regenerative receiver at different quenching frequencies are observed, and the chaotic phenomenon is cross-validated.

Key words: chaotic phenomenon; super regenerative receiver; nonlinear; Lyapunov exponent; Poincaré section

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