实用调和分析中的最佳调和分量数 |
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引用本文: | 孙琪田.实用调和分析中的最佳调和分量数[J].海洋科学,1986,10(2):1-3. |
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作者姓名: | 孙琪田 |
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作者单位: | 大连760试验场 |
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摘 要: | 一、前言 从理论上讲,当给定任何一个周期为2π的函数f(t),只要它能满足狄里赫莱条件,则均可分解为一个平均值和许多个成谐波关系的正弦成份,其中组成f(t)的每个正弦型量称为函数f(t)的调和分量。实用调和分析的主要目的就是为探求各调和分量的量值及它们间的相互关系,并通过谱分析(振幅谱与位相潜)找出在不同个观测数据的情况下,应取前多少
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THE OPTIMUM NUMBERS OF THE HARMONIC COMPONENTS IN PRACTICAL HARMONIC ANALYSIS |
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Abstract: | In older to find an optimum result in the practical harmonic analysis, we have made a great deal of test-calculation with the use of PC-1500 computer by taking different numbers of the harmonic components for the sea-water temperature. It turns out that the optimum analysis result was attained when selected numbers of the harmonic components are1/2 observation number N. Hence, when we make the practical harmonic analysis in future, it is desirable that the optimum form of Fourier series expansion be selected as follows...... |
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