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Continuous Spectrum Analysis in Discrete Spectrum Correction

Author: JiaoXinTao
Tutor: DingKang
School: Shantou University
Course: Mechanical and Electronic Engineering
Keywords: Signal processing Spectrum analysis Spectrum correction Coefficient of restitution Free decay vibration
CLC: TH113
Type: Master's thesis
Year: 2004
Downloads: 337
Quote: 1
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Abstract


Papers to the National Natural Science Foundation of mechanical vibration signal processing spectrum correction theory \Key Laboratory of Development Fund vibration signal analysis of discrete spectrum correction technology \Spectrum analysis on the basis of the analysis of the amplitude error of the windowed Fourier transform and spectral analysis, according to the windowed restore the principle of equal amplitude coefficient follow or equal energy, the system proposed three windowed amplitudes The coefficient of restitution of solving methods to resolve the the amplitude error generated by the windowing. The first method is to derive directly from the third method uses simulation to solve the coefficient of restitution from solving the coefficient of restitution; second method uses numerical integration of the coefficient of restitution; In the case of the spectrum of the window function is no theoretical analytical expressions, using the second or third method, the spectrum correction according to the different correction methods using different recovery factor. Free attenuation of the continuous spectrum of the vibration signal, an estimated characteristic parameters (frequency, amplitude and phase) of the method. Free vibration attenuation signal as infinite long harmonic signal and the product of the unilateral exponential function and a rectangular window, determined according to the method of the FFT FT maximum peak at a frequency corresponding to the amplitude and phase of the point is obtained at the same time. Correction amplitude according to the frequency-domain convolution theorem proving the frequency and phase of the maximum peak point is to the actual frequency and phase of the signal obtained, based on the amplitude of the equation derived by the convolution relationship. From theoretical analysis, without considering the coupling between the multiple frequency, which is a precise estimation parameters by the free vibration attenuation of the signal characteristics of the continuous spectrum of the free vibration damping signal can be corrected based on the identification parameter. Simulation examples show that when the noise, the frequency basic error-free, the maximum amplitude and phase error, respectively, 0.7% and 3.5 degrees; noise (signal-to-noise ratio SNR = 7.3dB), frequency, amplitude and phase maximum error 0,4.7% and 6.5 degrees, respectively, and the accuracy is still higher. The impact on the estimated accuracy of the sampling frequency, frequency, damping, and the amplitude, phase change. Rely on the more recent of the two frequency components, but the modal coupling is not serious by secondary correction can reduce coupling effects and improve estimation accuracy. In the interval of the two frequency components is less than a certain value, the adjacent frequency components to produce severe modal coupling, can not use this method.

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CLC: > Industrial Technology > Machinery and Instrument Industry > Mechanics (mechanical design of the basic theory ) > Mechanical kinetics
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