THE GEOMETRIC MEAN OF POWER (AMPLITUDE) SPECTRA HAS A MUCH SMALLER BIAS THAN THE CLASSICAL ARITHMETIC (RMS) AVERAGING

被引：23

作者：

PINTELON, R

SCHOUKENS, J

RENNEBOOG, J

机构：

[1] Vrije Univ, Brussels, Belg

来源：

IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT | 1988年 / 37卷 / 02期

关键词：

WAVEFORM ANALYSIS;

D O I：

10.1109/19.6054

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The statistical properties of the geometric mean of power (amplitude) spectra resulting from a discrete Fourier transform (DFT) are compared with those of arithmetic (RMS) averaging. The statistical properties are verified by means of frequency-domain and time-domain simulations. It is shown that the asymptotic bias of the geometric mean is a function of the fourth-order moments of the measurement noise.

引用

页码：213 / 218

页数：6

共 7 条

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