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在信号的频谱分析中,经常需要用信号频谱的实部和虚部来计算其幅度谱。在实际中,幅度谱A的近似值可用一个快速的计算方法A′=max{|A_x|,|A_y|}+b·min{|A_x|,|A_y|}=A(A=(A_x~2+A_y~2)~(1/2)来获得。对于系数b,本文通过使A′的最大偏差为最小得到了b的一个新参数值:0.3364。最大偏差为0.0550A。与Robertson和Morio Onoe所提出的参数相比,最大偏差至少降低32％。另外,本文还提出了采用两个系数的新近似方法:A′=a·max{|A_x|,|A_y|}+b·min{|A_x|,|A_y|}。在两种情况下,得到了(a,b)的两组值。一种情况是A′具有精确均值和最小方差,另一种是使A′的最大偏差为最小。在这两种情型下,最大偏差和标准差均比单系数时要小。
In spectrum analysis of a signal, it is often necessary to calculate the amplitude spectrum using the real and imaginary parts of the signal spectrum. In practice, the approximation of the amplitude spectrum A can be calculated using a fast calculation A ’= max {| A_x |, | A_y |} + b · min {| A_x |, | A_y |} = A (A = (A_x ~ 2 + A_y ~ 2) ~ (1/2) .For the coefficient b, a new parameter of b is obtained by minimizing the maximum deviation of A ’: 0.3364. The maximum deviation is 0.0550 A. Compared with Robertson and Morio Onoe The maximum deviation is reduced by at least 32% compared to the proposed one.In addition, a new approximation method using two coefficients is proposed in this paper: A ’= a · max {| A_x |, | A_y |} + b · min { A_x |, | A_y |}. In both cases, two sets of values for (a, b) are obtained. One is that A ’has the exact mean and the smallest variance and the other is such that the maximum deviation of A’ In both cases, the maximum deviation and the standard deviation are both smaller than for single coefficients.