Interpolation Algorithm for Discrete Fourier Transforms of Weighted Damped Sinusoidal Signals

doi:10.7652/xjtuxb201307016

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Interpolation Algorithm for Discrete Fourier Transforms of Weighted Damped Sinusoidal Signals

更新时间：2025-07-09

- Interpolation Algorithm for Discrete Fourier Transforms of Weighted Damped Sinusoidal Signals
- Vol. 47, Issue 7, Pages: 85-90(2013)
- 作者机构：
  
  西安交通大学机械工程学院,西安,710049
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb201307016
  CLC： TN911.72
- Online First：10 July 2013，
  
  Published：2013
- 稿件说明：
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Interpolation Algorithm for Discrete Fourier Transforms of Weighted Damped Sinusoidal Signals[J]. 2013, 47(7): 85-90.
DOI：

Interpolation Algorithm for Discrete Fourier Transforms of Weighted Damped Sinusoidal Signals[J]. 2013, 47(7): 85-90. DOI： 10.7652/xjtuxb201307016.

摘要

为了提高多频衰减正弦信号参数估计的精度

提出了一种加窗频域插值算法。先利用信号加窗技术对时域信号施加Hanning窗

然后利用频域插值方法计算出频率和衰减因子等参数值。结合Hanning窗和频域插值的方法

不仅可减小远程泄漏的影响

而且也消除了短程泄漏的影响

从而提高了对多频衰减正弦信号参数估计的精度。通过对算法的参数变化、噪声干扰和谱线分辨率的敏感性分析表明

即使在较强的噪声干扰和频谱泄漏下

算法依然具有较高的估计精度和稳定性

且计算效率高

内存占用低

因此较适合于对计算资源要求苛刻的信号特征提取场合

为机械冲击故障特征的提取提供了一种可选方法。

Abstract

An algorithm for improving the estimation accuracy of parameters that characterize a multi-frequency damped sinusoidal signals is presented

where the signals are weighted by Hanning window before the fast Fourier transform and the frequencies

amplitudes

phases and damped factors are obtained by frequency domain interpolation. The long-range and short-range leakages are thus reduced to improve the estimation accuracy. The sensitivity analysis for the varying signal parameters

noise and spectral resolution verifies the higher reliability and accuracy for both stronger noise and spectral interference cases. The higher computational efficiency and lower memory demand are suggested especially for poor computing resource situations. Extracting the impact signals of the rotor test bed using this method is illustrated. The result shows that the method can be used as an optional method for the fault features extraction of the mechanical impact.

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references

TUFTS D W, KUMARESAN R. Estimation of frequencies of multiple sinusoids: making linear prediction perform like maximum likelihood [J]. Proceedings of the IEEE, 1982, 70(9): 975-989.

KAY S M, MARPLE S L Jr. Spectrum analysis: a modern perspective [J]. Proceedings of the IEEE, 1981, 69(11): 1380-1419.

JAIN V K, COLLINS W L, DAVIS D C. High-accuracy analog measurements via interpolated FFT [J]. IEEE Transactions on Instrumentation and Measurement, 1979, 28(2): 113-122.

GRANDKE T. Interpolation algorithms for discrete Fourier transforms of weighted signals [J]. IEEE Transactions on Instrumentation and Measurement, 1983, 32(2): 350-355.

AGREZ D. Weighted multipoint interpolated DFT to improve amplitude estimation of multifrequency signal [J]. IEEE Transactions on Instrumentation and Measurement, 2002, 51(2): 287-292.

LIGUORI C, PAOLILLO A, PIGNOTTI A. Estimation of signal parameters in the frequency domain in the presence of harmonic interference: a comparative analysis [J]. IEEE Transactions on Instrumentation and Measurement, 2006, 55(2): 562-569.

OFFELLI C, PETRI D. Interpolation techniques for real-time multifrequency waveform analysis [J]. IEEE Transactions on Instrumentation and Measurement, 1990, 39(1): 106-111.

BERTOCCO M, OFFELLI C, PETRI D. Analysis of damped sinusoidal signals via a frequency-domain interpolation algorithm [J]. IEEE Transactions on Instrumentation and Measurement, 1994, 43(2): 245-250.

DUDA K, MAGALAS L B, MAJEWSKI M, et al. DFT-based estimation of damped oscillation parameters in low-frequency mechanical spectroscopy [J]. IEEE Transactions on Instrumentation and Measurement, 2011, 60(11): 3608-3618.

QUINN B G. Estimating frequency by interpolation using Fourier coefficients [J]. IEEE Transactions on Signal Processing, 1994, 42(5): 1264-1268.

ABOUTANIOS E. Estimation of the frequency and decay factor of a decaying exponential in noise [J]. IEEE Transactions on Signal Processing, 2010, 58(2): 501-509.

ABOUTANIOS E, KOPSINIS Y, RUBTSOV D. Instantaneous frequency based spectral analysis of nuclear magnetic spectroscopy data for metabolomics [C]∥2010 3rd International Congress on Image and Signal Processing. Piscataway, NJ, USA: IEEE, 2010: 3428-3432.

WU R C, CHIANG C T. Analysis of the exponential signal by the interpolated DFT algorithm [J]. IEEE Transactions on Instrumentation and Measurement, 2010, 59(12): 3306-3317.

何正嘉, 訾艳阳, 孟庆丰. 机械设备非平稳信号的故障诊断原理及应用 [M]. 北京: 高等教育出版社, 2001: 71-72.

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