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非均匀采样信号的频谱分析方法
Spectrum Estimation from Non-uniformly Sampled Signals
【摘要】 针对实际采样过程中出现的采样非均匀性,提出了非均匀采样信号的频谱计算方法,并从数学期望的角度证明了该方法的正确性。分析了MATLAB数据处理软件对冲激函数仿真的特点,得到了正弦信号峰值与频域冲激强度之间的定量关系,并进一步仿真验证了文中提出的非均匀采样信号频谱计算公式的正确性及其在信号参数辨识方面的有效性。将这一研究成果应用到机械抖动激光陀螺正弦抖动信号的分析中,得到了准确的、更加符合实际的正弦机械抖动幅度和谐振频率参数。
【Abstract】 This paper describes a new approach that can process non-uniformly sampled signals efficiently,in the sense the digital spectrum from non-uniformly sampled signal can be derived precisely.This algorithms’ validity is also demonstrated by the expected values of spectrum.A simulation of the pulse function is carried out by MATLAB software,which decribes the intensity of the finite energy signals.The paper introduces the quantitative relationship between the sine signal and its impulse intensity in frequency of the approach proposed in identifying the signals’ parameters.This developed technique can be applied in analyzing the sine signal of a mechanically dithered ring laser gyroscope.The experimental results indicate the dither amplitude and frequency can be estimated more accurately and closer to the truth parameter.
【Key words】 non-uniformly sampled; spectrum estimation; fourier transform; sine signals;
- 【文献出处】 电测与仪表 ,Electrical Measurement & Instrumentation , 编辑部邮箱 ,2009年02期
- 【分类号】TN911
- 【被引频次】8
- 【下载频次】788