An AOA Optimal Positioning Method Incorporating Station Error and Sensor Deployment

Round 1

Reviewer 1 Report

The authors proposed a native procedure to improve the computational accuracy of Angle of Arrival location.

1.    First, they calculate the least squares solution.

2.    Then they approximated the Constrained Total Least Squares.

3.    Finally, they substitute the least squares solution into the approximate closed-form solution to the approximated Constrained Total Least Squares.

4.    Then they iterate to calculate the final result

Comments to the authors:

1.    In page 2, paragraphs 1,2 and 3 are not referenced, i.e. no reference.

2.    At the end of the literature, authors should make it clearly what are the the missing gaps they want to add to the literature and improve the results reported in the literature.

3.    The statement in line 184 has no verb.

4.    It is not clear how Equation (11) is obtained. Explain more.

5.    In lines 213 to 218, authors stated that only local solution will be obtained, not global one.  But the title of Section 4 is about optimal ...

6.    Before Section 4, authors should write couple statements explaining what they are going to present in the next section to remove any confusion to the reader.

7.    The notation “FI” in Equation (18) is not well known. It is better to use only one character.

8.    In line 229, the statement “Here its the target location information in the three-dimensional spatial case,” not clear, (English).

9.    In line 263, the abbreviation “CCD” is not defined before.

10.   In Equation (32) and next equations, no need to the most left bracket.

11.   Also writing Equation (32) can be reduce by writing the whole expression of FI1, then FI2=FI3=FI1, then FI4. This will reduce the length of the paper.

12.   Replace the phrase in line 295 “We order:” by “Denote”

13.   In line 328 add the phrase “with respect to c”

14.   In line 329, replace (43) by (44) (You set the derivative equal to zero?)

15.   In line 330, how the value of c is found? Is it numerically or closed form solution? Explain/

16.   Figures 2 and 3 are not explained nor referenced inside the text.

17. In lines 358 and 359 the following phrase appeared “which can be compared to the final positioning results as follows.”, but there is no comparison after.

18. Figures 5, 6 and 7 are not referenced inside the text.

19. Try to make Figure 7 more clear.

20. A most important point is that the text and Equations are not well arranged.

Comments for author File: Comments.pdf

Author Response

Please see the attachment.

Author Response File: Author Response.docx

Reviewer 2 Report

line 26

There are lots of other applications of high-accuracy position information. Please do not refer to military applications here.

 

line 33

Which IR system are you referring to? You can easily formulate the problem (and your results) for every AOA capable observation system

 

line 130ff:

Very good, I like the overview at hand

 

line 189 / eq. (9)

Shouldn't this read "~" (approximate)?

 

line 213ff

I do not quite understand the convergence criterion (line 216). Shouldn't you also stop iterating in case the improvement between steps gets small enough, yet still being an improvement?

 

line 295ff

What is g and g_i ?

 

line 390

Are you planning to involve spherical coordinates resp. larger distances between stations so that the spherical shape of the Erth cannot be neglected?

Author Response

Please see the attachment.

Author Response File: Author Response.docx