基于DTW算法和AR模型的湍流功率谱估计

计算机工程与科学

基于DTW算法和AR模型的湍流功率谱估计

钱文高，陈田君宏，马红岩，陈静杰

（1.中国民航大学，a.电子信息与自动化学院，b.工程技术训练中心，天津 300300；
2. 商飞软件有限公司，四川成都 610218）

Turbulence power spectrum estimation based on DTW algorithm and AR model

QIAN Wengao, Chen Tianjunhong, Ma Hongyan, CHEN Jing-jie

(1. a.College of Electronic Information and Automation, b. Engineering Technology Training Center, Civil Aviation University of China, Tianjin 300300;
2. Comac Software Co., Ltd., Chengdu Sichuan 610218, China)

摘要/Abstract

摘要： 在利用传统自回归模型（AR）估计湍流功率谱以设计湍流的成型滤波器时，需要先滤除实测风速序列中的突风分量。然而，经典的“1-cos”突风模型难以准确匹配实际突风过程，导致无法完全滤除突风分量，而保留突风分量的湍流序列会有较大的低频能量分布，不符合湍流的脉动特性。针对该问题，本文提出了一种基于动态时域弯折算法（DTW）与AR模型相结合的湍流功率谱估计方法。该方法首先通过估计“1-cos”模板突风序列和真实阵风序列之间的DTW距离对模板序列进行时域重构，之后依据重构后的突风模板进行突风分量滤除得到实测湍流序列。接着采用Levinson算法估计实测湍流分量的AR模型系数，并据此构建成型滤波器。最后，以白噪声序列作为输入，经过该成型滤波器得到色噪声作为湍流的估计序列进行验证。实验结果表明，该方法能有效减少仿真湍流序列中的低频长周期成分。

关键词: DTW算法, AR模型, 湍流功率谱估计, 突风滤除, 成型滤波器

Abstract: When using the traditional autoregressive (AR) model to estimate the turbulence power spectrum for designing a shaping filter, it is necessary to filter out the gust component from the measured wind speed sequence. However, the classic "1-cos" gust model cannot accurately match the actual gust process, resulting in incomplete gust filtering. Consequently, the turbulence sequence retaining gust components exhibits excessive low-frequency energy, which deviates from the inherent pulsating characteristics of turbulence. To address this issue, a turbulence power spectrum estimation method based on the Dynamic Time Warping (DTW) algorithm and AR model is proposed. First, the DTW distance between the standard "1-cos" gust template and the measured gust sequence is utilized to reconstruct the gust template in the time domain. The reconstructed template is then used to filter out the gust component, thereby obtaining the measured turbulence sequence. The Levinson algorithm is then employed to estimate the AR model coefficients of the turbulence component, and a shaping filter is constructed accordingly. Finally, a white noise sequence is passed through the shaping filter to generate a colored noise sequence as the estimated turbulence for validation. Experimental results demonstrate that the proposed method effectively suppresses low-frequency and long-period components in the simulated turbulence sequence.

Key words: Dynamic Time Warping (DTW), Autoregressive (AR) model, turbulence power spectrum estimation, gust filtering, shaping filter202510145

钱文高, 陈田君宏, 马红岩, 陈静杰. 基于DTW算法和AR模型的湍流功率谱估计[J]. 计算机工程与科学.

QIAN Wengao, Chen Tianjunhong, Ma Hongyan, CHEN Jing-jie. Turbulence power spectrum estimation based on DTW algorithm and AR model[J]. Computer Engineering & Science.