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近年来,用修正哈达玛方差(MHV)法来测量频率源的功率谱密度已在国内外广泛流行,但由此而引起的测量误差还没有人全面研究过。本文的主要工作包括:(1)给出了频率源功率谱密度有偏估值(f)的信号处理系统(图1);(2)导出了在任意情况下,由MHV法所引入的测量偏差(21)式;(3)给出了在不同幂律谱条件下,测量偏差的数值解(23～29)式;(4)给出了多种因素所分别产生的偏差值(表1);(5)用计算机模拟验证了分析结果的正确性。在此基础上,指出MHV法的数学模型还不够完善,有待进一步改善。
In recent years, the correction of Hadamard variance (MHV) method to measure the power spectral density of the frequency source has been widely prevalent at home and abroad, but the resulting measurement error has not been fully studied. The main work of this paper includes: (1) A signal processing system (Figure 1) is given for which the power spectrum density of the frequency source is biased (f); (2) The measurement introduced by the MHV method is derived in any case (21); (3) Numerical solutions (23-29) of measurement deviations under different power-law spectra are given; (4) The deviation values produced by various factors are given (5) The correctness of the analysis results is verified by computer simulation. On this basis, it is pointed out that the mathematic model of MHV is not perfect enough and needs to be further improved.