芬兰淡水湖冰下溶解氧浓度变化规律的离散小波分析  

Discrete Wavelet Analysis of Dissolved Oxygen Concentration Variation under Ice in a Finnish Freshwater Lake

作　　者：李明[1] 李润玲[1] 柏钦玺[1] 李志军[1] 

机构地区：[1]大连理工大学海岸和近海工程国家重点实验室,辽宁大连116024

出　　处：《数学的实践与认识》2015年第7期149-155,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(51221961);海岸和近海工程国家重点实验室自主科研项目(SL14-5-3)

摘　　要：以离散小波变换的多尺度分析理论为依据,用Daubechies系列小波对芬兰Valkea-kotinen淡水湖第二测点自2011年1月13日至5月17日不同深度溶解氧浓度的采集数据进行分解与重构.通过db1-db6小波分解效果比较,发现db4小波的重构效果较好.采用db4小波对该位置各深度溶解氧浓度进行多尺度分析,得到数据的低频和高频重构曲线,分析曲线的变化规律.最后,利用离散小波变换尺度为2的幂次这一特点,给出有利于数据分析的测量时间间隔.Based on multi-scale analysis theory of discrete wavelet transform, decompose and reconstruct the data of dissolved oxygen concentration that is collected in Finnish Valkea- kotinen under ice at NO2 different depths from January 13,2011 to May 17,2011 by Daubechies wavelet series. By comparing the effects of wavelet decomposition of dbl-db6, it shows that the reconstruction results of db4 are much better. Through taking multi-scale analysis of dissolved oxygen concentration in this position at different depths by db4, it elicits the data curves of low-frequency and high-frequency reconstruction. And then analyses its trends and patterns. Discrete wavelet transform has the characteristics that its scale is always the power of 2. According to this character there should be a measurement time interval conducive to data analysis.

关 键 词：DAUBECHIES小波 多尺度分析 冰下 溶解氧 

分 类 号：P342.2[天文地球—水文科学] TP274.2[天文地球—地球物理学]