微弱正弦信号检测模型混沌解的判定  

A Criterion on the Chaotic Solution for the Detection Model of Weak Sine Signals

作　　者：李月[1] 杨宝俊[1] 李亚峻[1] 

机构地区：[1]吉林大学,长春130012

出　　处：《地球物理学进展》2002年第4期711-714,共4页Progress in Geophysics

基　　金：国土资源部"十五"科技攻关项目 (2 0 0 0 10 10 2 0 4 );吉林省科技发展计划项目 (2 0 0 2 0 62 6)资助

摘　　要：运用Melnikov方法就混沌检测模型的混沌判据问题进行研究 ,证明并推导该数学模型为非线性混沌系统及系统出现混沌状态的临界值 .为正弦信号的混沌检测和混沌振子法用于准周期信号检测提供理论依据 ,也为从低信噪比地震勘探资料中提取有效信息建立理论基础 .A chaotic criterion for the detection model of weak sine signals is studied using the Melnikov method in this paper. The critical value of the chaotic state in the model is proved. The study results provide scientific basis for both the chaotic detection of sine signals and the quasi-periodic signal detection using the chaotic vibrator method, and also provide theoretical basis for the detection of the effective signals from the seismic data of the low signal-noise ratio.

关 键 词：正弦信号 MELNIKOV方法 混沌振子 信号检测 地球物理资料 

分 类 号：P631[天文地球—地质矿产勘探] TN911.7[天文地球—地质学]