README.md

# Acoustic Source Localiztion
### For technical derivations of the acoustic source localization techniques outlined below, please refer to the PDF file attached. 

### Techniques for measuring the position of an acoustic source

#### Technique 1: Triangulation of the acoustic source with use of three sensors
![Triangulation](./triangulation.png)


#### Techinque 2:  Minimization of Error Function
Location of the acoustic source is found by identifying the set of coordinates (x_0 and y_0) that minimize the error function
![Surface of Error Function](./surf_erf.png)

![Log Plot of Error Function](./log_erf.png)


#### Technique 3:  Interpolation of known time delays between sensor pairs
Location of sample impact points; sensors are located at each corner
![impact locations](./impact_location.png)

Surface plot of the difference in arrival time of leading Lamb wave between one sensor and another
![Time Delay Surface](./time_delay.png)

Contour plot of lines of constant time delay

![Isolines Time Delay](./td_isolines.png)