stellar_amateur/omniyagi
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done with small-scale simulations and no algorithm for omni

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Boyan 2022-12-02 22:03:27 +01:00
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README.md
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@ -5,7 +5,7 @@
The usual omnidirectional antenna has a radiation pattern of:
<br>
<img width="50%" style="margin-left:50%" src="https://upload.wikimedia.org/wikipedia/commons/e/e1/L-over2-rad-pat-per.jpg"/>
<img width="50%" style="margin-left:50%" src="https://www.mpantenna.com/wp-content/uploads/2019/09/high-gain-omni-pattern-300x282.png"/>
<br><br>
The usual yagi antenna has a radiation pattern as shown in:
<br>
@ -25,11 +25,11 @@ A radio signal generator is constantly transmitting from an unknown location and
### Omnidirectional Strategy(ODS)
Let `A` be the antenna and the center of the reception circle. The reception circle's radius is 5 units. These units have an unknown real life equivalent; However that is rather irrelevant for the scope of the experiment. A can be moved around the plane freely.
Let `A` be the antenna and the center of the reception circle. The reception circle's radius is 2 units. These units have an unknown real life equivalent(you can imagine it as gain); However that is rather irrelevant for the scope of the experiment. A can be moved around the plane freely.
### Yagi strategy(YS)
Let `A,B,C` and `D` be individual directional antennas ordered in a rectangular formation. Each antenna has a vector with the length of 10, given that directional antennas are around two times better at receiving and transmitting signal than an omnidirectional, the cost being that the transceiving is limited to a certain direction. The formation must be composed in a way, such that there is always at least 2 vectors intersecting each other. These points are stationary, however their respective vectors could be rotated 360 degrees.
Let `A,B,C` and `D` be individual directional antennas ordered in a rectangular formation. Each antenna has a vector with the length of 10, given that directional antennas usually have around 5 times higher gain when receiving and transmitting signal than omnidirectionals, the cost of that being that the transceiving is limited to a certain direction. The formation must be composed in a way, such that there is always at least 2 vectors intersecting each other. These points are stationary, however their respective vectors could be rotated 360 degrees.
We know the distances between each of the points.
### Solution approach
@ -59,13 +59,27 @@ That is not to say that OMS does not have pros:
3. Possibly more fun if you like complicated math.
```
### Sources
### Simulation results
Disclaimer: These simulation are **seriously** half-assed.
##### Yagi simulation
![Yagi Sim](images/yagi.gif)
This is the simulation of the aforementioned strategy. We can take from it that, if the location we are looking for is inside of the area of the rectangle formed by connecting the antenna points, or even slightly outside - we will find it. I would say in a rather rapid manner(depending on the speed of spinning).
##### Omnidirectional simulation
![omni sim](images/omni.gif)
Would you look at that. Fueled by pure pseudorandomness, this "algorithm" if you will is blowing the competition away. Imagine if there was a real algorithm that got closer and closer! As you can see, it takes a lot less time to cover the entirety of the rectangular area we have. But what about, scaling things up a bit...(CLIFFHANGER WOOOOOOOOOOO((i'm gonna finish this later))).
###Sources
##### Articles
1.[Direction finding](https://en.wikipedia.org/wiki/Direction_finding)
2.[Trilateration](https://en.wikipedia.org/wiki/Trilateration)
3.[Triangulation](https://en.wikipedia.org/wiki/Triangulation)
1. [Direction finding](https://en.wikipedia.org/wiki/Direction_finding)
2. [Trilateration](https://en.wikipedia.org/wiki/Trilateration)
3. [Triangulation](https://en.wikipedia.org/wiki/Triangulation)
4. [Yagi-Uda antenna](https://en.wikipedia.org/wiki/Yagi%E2%80%93Uda_antenna)
5. [Omnidirectional antenna](https://en.wikipedia.org/wiki/Omnidirectional_antenna)
##### Images
1. Wikimedia
2. Researchgate