LabVIEW
how to write or which block is used to write (e^-j*theta)
I am not sure why you are trying to duplicate the code from the paper, but this seems like a very simple problem to solve from scratch. Basically, you create a complex array by multiplying the signal with a single cycle sine and cosine, resp. containing the same number of points. This is basically a "shortcut FFT", where you are only interested in the first non-dc bin, and generally similar to a digital tuner tuned to that bin. You get an amplitude and a phase that you can display however you want.
This seems to be a continuation of this recent discussion.
And please chose a better subject. The sentence "Is anybody have the Idea of LABVIEW software ?" Is meaningless and does not relate to your problem. Everybody here has ideas about LabVIEW, so the answer is "yes"!)
Why is one VI inside the other one? You still retained all the coding problems pointed out long ago. Shoudn't your "r" be 1 instead of zero for the template? A sine of amplitude zero looks identical to a cosine with amplitude zero, right?
Your VI still shows a complete misundestanding of LabVIEW and your algorithm. Most of what you are doing makes no sense at all.
Your generation of the complex reference signal is full of bugs. Why don't you graph it and see for yourself? (angle ramp is completely wrong and you set the amplitude to zero instead of 1 so there is really nothing there, for example). Calculations that need to be done only once belong before the loop. You are only graphing a single point on your graph, but you select "lines". You need to select "points" to see anything. etc. etc..
Here is a very simple draft that maybe can give you some ideas. Seems to work just fine. Modify as needed and check for bugs.
(I use a simple xy graph for simplicity).
