I am giving up on centering the image...

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Boyan 2022-12-02 20:26:07 +01:00
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## Introduction ## Introduction
The usual omnidirectional antenna has a radiation pattern of: The usual omnidirectional antenna has a radiation pattern of:
<br>
<img align="center" width="50%" style="margin-left:50%" src="https://upload.wikimedia.org/wikipedia/commons/e/e1/L-over2-rad-pat-per.jpg"/> <img align="center" width="50%" src="https://upload.wikimedia.org/wikipedia/commons/e/e1/L-over2-rad-pat-per.jpg"/>
<br><br> <br><br>
The usual yagi antenna has a radiation pattern as shown in: The usual yagi antenna has a radiation pattern as shown in:
<br> <br> <br>
<img align="center" width="50%" style="margin-left:50%" src="https://external-content.duckduckgo.com/iu/?u=http%3A%2F%2Fwww.raymaps.com%2Fwp-content%2Fuploads%2F2012%2F02%2FYagi-Antenna-3D-Radiation-Pattern.jpg&f=1&nofb=1&ipt=fe9716b06b1dcb895fc304ee63e020191fc69416890aca1aecc2fe073115926c&ipo=images"/> <img align="center" width="50%" src="https://external-content.duckduckgo.com/iu/?u=http%3A%2F%2Fwww.raymaps.com%2Fwp-content%2Fuploads%2F2012%2F02%2FYagi-Antenna-3D-Radiation-Pattern.jpg&f=1&nofb=1&ipt=fe9716b06b1dcb895fc304ee63e020191fc69416890aca1aecc2fe073115926c&ipo=images"/>
<br> <br>
<br> <br>
@ -17,7 +17,7 @@ The usual yagi antenna has a radiation pattern as shown in:
For the sake of brevity, let these simplifications of said radiation patterns be true(within the thought experiment). For the sake of brevity, let these simplifications of said radiation patterns be true(within the thought experiment).
<img align="center" width="45%" src="images/omni.png" style="margin:3.5%" /><img align="center" width="45%" src="images/yagi.png"/> <img align="center" width="45%" src="images/omni.png"/><img align="center" width="45%" src="images/yagi.png"/>
## Problem ## Problem
@ -36,11 +36,11 @@ We know the distances between each of the points.
Both strategies involve direction finding of some sort. [Direction finding](https://en.wikipedia.org/wiki/Direction_finding) using vector intersection is quite self explanatory, you take the antenna in which the signal is the strongest, take the two nearest antennas and find the point in which the vectors overlap. The point left at the end is our location. Both strategies involve direction finding of some sort. [Direction finding](https://en.wikipedia.org/wiki/Direction_finding) using vector intersection is quite self explanatory, you take the antenna in which the signal is the strongest, take the two nearest antennas and find the point in which the vectors overlap. The point left at the end is our location.
<img align="center" style="margin-left:50%" width="50%" src="https://upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Triangulation.svg/800px-Triangulation.svg.png"/> <img align="center" width="30%" height="400px" src="https://upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Triangulation.svg/800px-Triangulation.svg.png"/>
When it comes to circles, however, the strategy is different. [Trilateration](https://en.wikipedia.org/wiki/Trilateration) is a way of pinpointing a location using ranges. The approach is different from the usual, as we do not have multiple antennas, but rather a single moving one. Trilateration goes like: Get readings from 3 different points(it would help if they were polar opposites). Find the intersection of the three circles that you have. That's the point we're looking for. When it comes to circles, however, the strategy is different. [Trilateration](https://en.wikipedia.org/wiki/Trilateration) is a way of pinpointing a location using ranges. The approach is different from the usual, as we do not have multiple antennas, but rather a single moving one. Trilateration goes like: Get readings from 3 different points(it would help if they were polar opposites). Find the intersection of the three circles that you have. That's the point we're looking for.
<img align="center" style="margin-left:50%" width="50%" src="https://www.researchgate.net/profile/Constantinos-Patsakis/publication/277077361/figure/fig1/AS:613444243968081@1523267913923/Trilateration-attack-with-exact-distances.png"/> <img align="center" width="50%" src="https://www.researchgate.net/profile/Constantinos-Patsakis/publication/277077361/figure/fig1/AS:613444243968081@1523267913923/Trilateration-attack-with-exact-distances.png"/>
### Expected results ### Expected results
YS is not as effective, however it is way more efficient than OMS on many levels. At least on paper. A list of all the theoretical pros of YS over OMS: YS is not as effective, however it is way more efficient than OMS on many levels. At least on paper. A list of all the theoretical pros of YS over OMS: