cancel
Showing results for 
Search instead for 
Did you mean: 
cancel
Showing results for 
Search instead for 
Did you mean: 
cancel
Showing results for 
Search instead for 
Did you mean: 

Clarification of a formula for MIF

JXBWk
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? 

 

Thanks in advance

Regards

1 ACCEPTED SOLUTION

Accepted Solutions
Werner_E
24-Ruby IV
(To:JXBWk)

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

 

 

 

View solution in original post

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

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

 

 

 

JXBWk
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

 

Werner_E
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.

JXBWk
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

 

Announcements
Check out the latest
Mathcad Tip
"PTC Mathcad 15 / Prime 1-6 Update."