I am trying to finding the location of the user using mobile tower signal strengths.
Scenario is given in the picture
Here, I know the coordinates (latitude and longitude, like x,y) of Tower 1, 2 and 3. Also I know the signal strength (can I consider it as radius? But for nearest towers radius will be high, and for far towers it will be lower, basically the opposite of radius)
If I have these parameters, how could I calculate my Location?
Best Answer
You can consider the signal strength as a function (decreasing) of the distance.
Let $T_1$, $T_2$ and $T_3$ be the positions of the towers. The signal strength from a point $P$ to the tower j is
$$ ST_j(P)=g(|P-T_j|) $$ where $g$ is a decreasing function.
Note that if $g$ is decreasing, it is one to one. So knowing the signal strength is equivalent to knowing the distance from $P$ to the towers.
Once you have determined the distances, you just have to solve the system: $$ |P-T_j|=d_j,\,\;\; j=1,2,3. $$