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Thread: Help normalising values

  1. #1
    Junior Member
    Mar 2009

    Exclamation Help normalising values


    I would greatly appreciate help with the following.

    Tx/Rx Scheme 1 Scheme 2 Scheme 3
    Scenario 1 21374/2510 16345/1596 22582/3204
    Scenario 2 19075/436 16579/38 17058/11
    Scenario 3 21620/948 17735/175 16459/286

    After conducting simulations over 3 scenarios for 3 schemes I get the following table of results showing the number of control messages that need to be transmitted (denoted as tx) vs those data messages that were received (rx).

    I need a way of representing the normalized “load” i.e. how many control messages that need to be transmitted in order to successfully receive a data packet per scheme.

    At the moment I’m just getting the ratio i.e. for scheme 3, scenario 2 it’s ~1550 and for scheme1 also for scenario 2 it’s ~44. The thing is in terms of the actual number of control messages sent, they’re not too dissimilar, the issue is that very few data messages are received.

    My question is whether I am normalizing this correctly?

    Thanks in advance.
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  2. #2
    MHF Contributor
    Sep 2012

    Re: Help normalising values

    Hey kerrymaid.

    Are you talking about this is a probabilistic/expected-frequency kind of way?

    Basically if you have a ratio of tx/rx then it means that you will need to send round(tx/rx) packets on average to get a received packet. Note that I say "on average" because the probability represents an infinite limit of the ratio between tx packets and rx packets. If you have additional information about the distribution of rx to tx (or vice versa) then you can use that PDF to get the probability for some interval. (Also when I say round I mean that you need to add 1 if you have a fractional answer to account for integer values that make sense).

    You can use the fact that the distribution of the mean of any distribution will be approximately normal: use this if you want to construct a confidence interval as opposed to looking at a point estimate (which is what your table of values contain).
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