title: Localising a receiver using trilateration of base station signal strengths?
body: <p>I have a system with a number of base station beacons, each broadcasting an infinitely fast signal describing their position on a 2D Cartesian plane. The signal strength begins with a [unitless] power of <em>1.0</em>, with the strength degrading over the distance <em>d</em> according to the following formula:</p>
  
  <pre><code>       1
      --------
      4*pi*d*d
  </code></pre>
  
  <p>Somewhere on that plane is a receiver. It can access the location of the base station and the received signal strength from any base stations in range. I'd like to identify where it is located using this information.</p>
  
  <p>I believe I need to perform trilateration (I'd originally assumed triangulation, but that appears to use timing differences?), but neither the <a href="http://en.wikipedia.org/wiki/Trilateration" rel="nofollow noreferrer">Wikipedia entry</a> nor <a href="https://stackoverflow.com/questions/3472469">this question</a> have helped.</p>