Skip to main content
J
JXBWk14-Alexandrite
14-Alexandrite
May 18, 2022
Solved

Clarification of a formula for MIF

  • May 18, 2022
  • 1 reply
  • 2110 views

To all

I am dealing with a formula and I am hoping that the more mathematically inclined among you might be able to clarify something for me. 

On the attached mcad 15 file there is a formula for a mode indicator function. I am still trying to source the original reference but in the meantime I thought I ask the question.

Could anyone tell me how the sum on the numerator works? Is the formula saying that one has to sum over the entire vector? 

 

Thanks in advance

Regards

    Best answer by Werner_E

    I would see it that way

    Werner_E_2-1652864807611.png

     

    Actually the absolute value in the nominator isn't necessary as here a real number is squared.

    Using vectorization you could also code it in Mathcad like this

    Werner_E_1-1652864629050.png

     

    The other formula (Breitbach) yields a different result

    Werner_E_4-1652865421562.png

     

     

     

    1 reply

    W
    Werner_E25-Diamond IAnswer
    25-Diamond I
    May 18, 2022

    I would see it that way

    Werner_E_2-1652864807611.png

     

    Actually the absolute value in the nominator isn't necessary as here a real number is squared.

    Using vectorization you could also code it in Mathcad like this

    Werner_E_1-1652864629050.png

     

    The other formula (Breitbach) yields a different result

    Werner_E_4-1652865421562.png

     

     

     

      J
      JXBWk14-AlexandriteAuthor
      14-Alexandrite
      May 18, 2022

      Thanks for the input. I cannot find any paper/text, etc from the quoted "reference". Never mind
      The formula yields 1 number. In reality the complex vector is frequency dependant. That is each row is a value at a given frequency
      If I got this right if an entry in the complex vector is (near) to imaginary then the MIF should drop (close to zero, drop to a minimum) (at a given frequency)
      So one should be able to plot a MIF value at each frequency
      Anyway you have answered my original question

       

      W
      Werner_E25-Diamond I
      25-Diamond I
      May 18, 2022
      @JXBWk wrote:

      Thanks for the input. I cannot find any paper/text, etc from the quoted "reference". Never mind

      Would this help

      https://pdfcoffee.com/ecss-e-st-32-11c31july2008-pdf-free.html

      See 3.2.33

      Maybe this paper can be of help, Formula (6) seems to correspond

      http://papers.vibetech.com/Paper35-MMIF.pdf

      But I have to state that I'm way outside my comfort zone here and have no knowledge of the underlying subject matter.

      Terms & ConditionsCookie settingsAccessibility statement