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12-Amethyst

## Clarification of a formula for MIF

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?

Regards

1 ACCEPTED SOLUTION

Accepted Solutions
24-Ruby IV
(To:JXBWk)

I would see it that way

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

The other formula (Breitbach) yields a different result

4 REPLIES 4
24-Ruby IV
(To:JXBWk)

I would see it that way

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

The other formula (Breitbach) yields a different result

12-Amethyst
(To:Werner_E)

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

24-Ruby IV
(To:JXBWk)

@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.

12-Amethyst
(To:Werner_E)

yes that's where the formula I pasted in the mcad file is coming - the ecss reference. This one yields 1 number

The 2nd ref I am have and is for the Multivariate MIF - uses the H matrix and is an eigenvalue problem ? (or maybe I am confuses with the Complex MIF (CMIF) !)

of interest: 546802.pdf (hindawi.com)

equation 8

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