Practical application of the geometric-harmonic

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Kral

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Can anyone give me a practical application of the geometric-harmonic mean?
Thanks,
Kral
 

Re: Geometric-Harmonic Mean

hi,
check the link - https://en.wikipedia.org/wiki/Harmonic_mean
Harmonic mean can be used in programs that calculate or estimate the speed of a missile or two trains, where in some decision has to be made by knowing the average speed of the object

for applications of geometric mean check
https://www.math.toronto.edu/mathnet/questionCorner/geomean.html

Dont know much abt "Geometric-Harmonic Mean". But there is something called "Geometric-Harmonic Modulation (GHM), where it might find application.

cinch
 

Re: Geometric-Harmonic Mean

cinch,
Thanks for your reply. I'm already familiar with the harmonic mean and the geometric mean and their applications. It is the harmonic-geometric mean that i'm interested in. I know the definition, and how it is calculated, but I don't know where the harmonic-geometric mean is applied.
Regards,
Kral
 

Re: Geometric-Harmonic Mean

One of the application can be determination of the total effect from many separate noise sources applied to the device of interest.
 

    Kral

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Re: Geometric-Harmonic Mean

Thanks for the reply, RF-OM. Do you have any links to articles on this application? Incidentally, I'm also interested in the aritmetic-geometric mean. I forgot to mention this in my original post.
Regards,
Kral

Added after 2 minutes:

Oops! I meant arithmetic-geometric mean.
 

Re: Geometric-Harmonic Mean

Unfortunately I have no links to papers or books. When you asked about it I just recall that it used sometimes for noise evaluation. I use it a few times in my work, this is really rear occasion. I prepared my own worksheet for this work and used it when necessary, but because it is very rear I even do not remember where this tool now. I think that geometric-harmonic mean may be used when there is a number of uncorrelated powers and it is necessary to evaluate their effect on the system. It may be noise, intermodulation and other non-linear effects, multiple unwanted RF signals (ambient RF noise), may be signals from Universe and so on. But this is only my guess, I cannot be 100% sure.
 

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