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ESTIMATION OF CORRELATION FUNCTIONS BY THE RANDOM DECREMENT TECHNIQUE

机译:随机递减技术估计相关函数

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The Random Decrement (RDD) Technique is a versatile technique for characterization of random signals in the time domain. In this paper a short review of the theoretical basis is given, and the technique is illustrated by estimating auto-correlation functions and cross-correlation functions on modal responses simulated by two SDOF ARMA models loaded by the same bandlimited white noise. The speed and the accuracy of the RDD technique is compared to the Fast Fourier Transform (FFT) technique. The RDD technique does not involve multiplications, but only additions. Therefore, the technique is very fast - in some case up to 100 times faster that the FFT technique. Another important advantage is that if the RDD technique is implemented correctly, the correlation function estimates are unbiased. Comparison with exact solutions for the correlation functions show that the RDD auto-correlation estimates suffer from smaller estimation errors than the corresponding FFT estimates. However, in the case of estimating cross-correlations functions for stochastic processes with low mutual correlation, the FFT technique might be more accurate.
机译:随机递增(RDD)技术是一种多功能技术,用于表征时域中的随机信号。在本文中,给出了对理论基础的简要审查,通过估计由由相同的带状白噪声加载的两个SDOF ARMA模型模拟的自相关函数和互相关函数来说明该技术。将RDD技术的速度和准确性与快速傅里叶变换(FFT)技术进行比较。 RDD技术不涉及乘法,但只有添加。因此,该技术非常快 - 在某种程度上高达100倍,即FFT技术。另一个重要的优点是,如果RDD技术被正确实现,则相关函数估计是无偏的。与相关函数的精确解决方案的比较表明,RDD自相关估计估计与相应的FFT估计相比较小的估计误差。然而,在估计具有低相互关联的随机过程的互相关函数的情况下,FFT技术可能更准确。

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