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An improved method for bispectral analysis of nonlinear wave interaction system

机译:非线性波形相互作用系统双光谱分析的改进方法

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摘要

Digital bispectral analysis is an effective means to study nonlinear system such as random sea-wave and edge plasma turbulence. In this paper, an improved digital bispectral method, the complete iterative method, is proposed to solve the three-wave coupling equation. The detailed comparisons are made between the previous estimation methods, Ritz's iterative method (Ritz and Powers 1986 Physica D 20 320) and Kim's method (Kim et al 1996 Phys. Plasmas 3 3998), and the complete iterative method. The results suggest that, employing the complete iterative method to compute the linear and quadratic nonlinear transfer functions, and linear and quadratic coupling coefficients, the resultant calculations are shown to be more accurate than those reconstructed by the first two methods. And different from the previous two methods, the complete iterative method is demonstrated to be more suitable for the study of ordinary 'black-box' fluctuating systems or turbulence system with 'ideal' power spectrum, i.e., all the output signals are limited to have the same power spectra as input signals. Finally, some further discussions are made briefly that address on the applications of the complete iterative method in the study of some specific nonlinear systems.
机译:数字双光谱分析是研究非线性系统的有效手段,例如随机海波和边缘等离子体湍流。本文提出了一种改进的数字双光谱法,完全迭代方法,以解决三波耦合方程。在先前的估计方法,Ritz的迭代方法(Ritz和Powers 1986 Physica D 20 320)和Kim的方法之间进行了详细的比较(Kim等,Prasmas 3 3998),以及完整的迭代方法。结果表明,采用完整的迭代方法来计算线性和二次非线性传递函数,以及线性和二次耦合系数,结果计算比由前两种方法重建的计算更准确。与前两种方法不同,表明完整的迭代方法更适合于使用“理想”功率谱的普通“黑匣子”波动系统或湍流系统的研究,即,所有输出信号都仅限于与输入信号相同的功率谱。最后,一些进一步的讨论是简要讨论的,以解决完全迭代方法在一些特定非线性系统研究中的应用。

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