CAJ | 학술논문

Morlet小波的波形与径流的形态相似,且其伸缩尺度与周期有直接的对应关系.Morlet小波是复数小波,比实型小波能更真实地反映时间序列的时频局部特征.本文采用一种新颖、快速、实用的非正交小波变换方法,并给出了该方法的推导过程.文中采用Morlet小波对丹江口水库入库流量进行分析,揭示了丹江口水库入库流量的多尺度震荡特性和周期性变化规律.分析结果表明,丹江口年平均入库流量具有两个周期(9年和24年).根据小波系数的实部拟合出9年和24年的周期变化曲线,并与实际数据进行对比.在实际数据受到随机成分影响的情况下,比较结果仍然相当吻合.研究成果为汉江流域水资源开发利用和南水北调中线工程水资源优化配置提供技术支撑.
Morlet소파적파형여경류적형태상사,차기신축척도여주기유직접적대응관계.Morlet소파시복수소파,비실형소파능경진실지반영시간서렬적시빈국부특정.본문채용일충신영、쾌속、실용적비정교소파변환방법,병급출료해방법적추도과정.문중채용Morlet소파대단강구수고입고류량진행분석,게시료단강구수고입고류량적다척도진탕특성화주기성변화규률.분석결과표명,단강구년평균입고류량구유량개주기(9년화24년).근거소파계수적실부의합출9년화24년적주기변화곡선,병여실제수거진행대비.재실제수거수도수궤성분영향적정황하,비교결과잉연상당문합.연구성과위한강류역수자원개발이용화남수북조중선공정수자원우화배치제공기술지탱.
The waveform of the Morlet wavelet is similar to the form of streamflow, and there is direct correlation be-tween the scale and the period. The Morlet wavelet is a complex wavelet, so it is able to reflect the time-frequency localiza-tion characteristics of the time sequence more realistically than the real wavelet. In this paper, a novel, rapid and practical method of non-orthogonal wavelet transform is used, and the derivation of the method is given. The Morlet wavelet is used to analyze the variation of the Danjiangkou Reservoir inflow, revealing the multi- scale fluctuation in and the law of periodi-cal variation. The result shows that the inflow series have two periods (9 years and 24 years). The periodical curves of 9 years and 24 years simulated according to the real part of the wavelet coefficients are in good agreement with the actual data affected by the random components. The research result provides a technical support for the water resources development in the Hanshui River and the South-to-North Water Diversion plan.