基于改进样条Chirplet变换的结构瞬时频率识别

为了提高结构瞬时频率识别的精度,对样条Chirplet变换进行改进,并结合能量集中度原则优化窗函数的参数.利用解析信号和两层框架模型验证改进样条Chirplet变换识别瞬时频率的准确性,再结合试验验证改进样条Chirplet变换能有效识别实际工程结构的瞬时频率.

An Improved Chirplet Transform and Its Application for Harmonics Detection

The chirplet transform is the generalization form of fast Fourier transform , short-time Fourier transform, and wavelet transform. It has the most flexible time frequency window and successfully used in practices. However, the chirplet transform has not inherent inverse transform, and can not overcome the signal reconstructing problem. In this paper, we proposed the improved chirplet transform (ICT) and constructed the inverse ICT. Finally, by simulating the harmonic voltages, The power of the improved chirplet transform are illustrated for harmonic detection. The contours clearly showed the harmonic occurrence time and harmonic duration.

基于改进多重同步挤压样条Chirplet变换的结构瞬时频率识别

为提高样条Chirplet变换的结构频率识别精度,提出了一种基于改进多重同步挤压样条Chirplet变换(improved multi-synchrosqueezing spline-kernelled Chirplet transform, IMSSSCT)的瞬时频率识别方法。首先通过引入三参数高斯窗函数和能量集中度原理对样条Chirplet变换进行改进,然后结合多重同步挤压算法进一步提高改进样条Chirplet变换(improved spline-kernelled Chirplet transform, ISCT)的时频能量聚集度。通过单自由度Duffing系统和三层剪切框架结构的数值仿真及悬臂梁结构试验对所提方法进行了验证。研究结果表明,IMSSSCT能有效识别非线性结构和时变结构的瞬时频率。