Statistical Analysis of Phase-Only Correlation Functions under the Phase Fluctuation of Signals due to Additive Gaussian Noise

2020 ◽  
Author(s):  
Shunsuke YAMAKI ◽  
Kazuhiro FUKUI ◽  
Masahide ABE ◽  
Masayuki KAWAMATA
Keyword(s):  
Statistical Analysis ◽  
Gaussian Noise ◽  
Correlation Functions ◽  
Phase Fluctuation

scholarly journals Statistical parameters of ozone profiles above Moscow and their trends in 1996-2017 by data of radiometer measurements.

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
K.P. Gaikovich ◽  
◽  
E.P. Kropotkina ◽  
S.B. Rozanov ◽  
◽  
...  
Keyword(s):  
Statistical Analysis ◽  
Correlation Functions ◽  
Mixing Ratio ◽  
Statistical Parameters

Results of the statistical analysis of the altitude profiles of the volume ozone mixing ratio retrieved from data of 1996-2017 ground-based radiometer measurements at frequency of 142.2 GHz are presented. From comparison of the data for the 1996-2006 and 2007-2017 decades, statistically significant trends have been revealed in monthly mean ozone profiles and their variations – as well as in corresponding inter-altitude and time covariance and correlation functions. Possible explanations of the revealed trends are given.

Studies on the Instrumental Factors Determining Errors in the Measurements of Raman Band Profiles. Part II: Effect of the Signal Noise on Vibrational Relaxation Functions and Relaxation Times

1993 ◽  
Vol 47 (8) ◽  
pp. 1234-1236 ◽  
Author(s):  
M. G. Giorgini ◽  
L. Mariani ◽  
A. Morresi ◽  
G. Paliani ◽  
R. S. Cataliotti
Keyword(s):  
Statistical Analysis ◽  
Correlation Functions ◽  
Vibrational Relaxation ◽  
Raman Band ◽  
Relaxation Times ◽  
Photon Counting ◽  
Electronic Noise ◽  
Signal Noise ◽  
Relaxation Functions

A method for the determination of the effect of the signal noise on vibrational correlation functions and relaxation times obtained in stationary spectroscopic measurements is proposed. It rests upon the assumption that electronic noise is mainly due to the photon counting which, for fast electronics, is described by Poisson statistics. The application of this method leads to results expressed as standard deviations which, for correlation functions, appear in very close agreement with the conclusions of statistical analysis, while for the relaxation times the results are lower than those delivered by statistical analysis.

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