The geometric mean of power (amplitude) spectra has a much smaller bias than the classical arithmetic (RMS) averaging

1 June 1988

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Instrumentation and Measurement

Vol. 37 (2) , 213-218
https://doi.org/10.1109/19.6054

Abstract

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

Keywords

This publication has 3 references indexed in Scilit:

Linear modeling and the coherence function
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1987
Coherence and time delay estimation
Proceedings of the IEEE, 1987
Modeling the noise influence on the Fourier coefficients after a discrete Fourier transform
IEEE Transactions on Instrumentation and Measurement, 1986