Prove that a) the optimal position estimation for a mobile is at the centroid illustrated above, and b) the average error is 0.443R, where R is the cell radius. (respect to r0)r0 = constant Performance:1Average Error =about 3500m for cells with 5km radiusAverage Error =about 2200m for cells with 5km radius0.7R0.443R0=QRRdcentroidcentroid-Tt/3No Sectorization: Centroid at origin3 Sectors: Centroid at (0, 1.732R/t)Cosine theorem d² = r² +r,² - 2rr,cos0Q1 Prove that (a) the optimal position estimation for a mobile is at the centroidillustrațed above, and (b) the average error is 0.443R, where R is the cell radius.ro= constantrecpert to ro

To given thatr=3x2+y2=r2x2+y2=33

Answered: R R d centroid centroid R -T/3 n:…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Prove that a) the optimal position estimation for a mobile is at the centroid illustrated above, and b) the average error is 0.443R, where R is the cell radius. (respect to r0)

r0 = constant

Performance:
1
Average Error =
about 3500m for cells with 5km radius
Average Error =
about 2200m for cells with 5km radius
0.7R
0.443R
0=Q
R
R
d
centroid
centroid
-Tt/3
No Sectorization: Centroid at origin
3 Sectors: Centroid at (0, 1.732R/t)
Cosine theorem d² = r² +r,² - 2rr,cos0
Q1 Prove that (a) the optimal position estimation for a mobile is at the centroid
illustrațed above, and (b) the average error is 0.443R, where R is the cell radius.
ro= constant
recpert to ro

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