I need help figuring out some calculations relating to Time Difference Of Arrival, I have two reference points (mics in the real wold), mic 1 and mic 2 are 1.01706 (feet) away from each other, this explanation explains the idea :
" Once the signal is received at two reference points, the difference in arrival time can be used to calculate the difference in distances between the target and the two reference points. This difference can be calculated using the equation "
∆d = c ∗ (∆t)
c is the speed of sound so 344 meters per second (since I'm using feet its 1125 ft per sec)
∆t is the difference in arrival times at each reference point.
I was 4ft ish away from the 2 reference points, made a sound and difference in time in seconds gave me 0.000044 seconds.
I assume to satisfy the above equation I should be doing something like 0.000044 * 1125 = 0.0495
is that part correct or should I somehow factor in the distance between the reference points 1.01706? e.g. 0.0495/1.01706
Unfortunately there a second part which leads me completely lost...
"In two dimensions, this leads to the following equation " equation2
" where (x1, y1) and (x2, y2) are the known positions of the beacons. "
I have no idea how I would use my values with this? also how exactly would I do this... "Using nonlinear regression this equation can be converted to the form of a hyperbola "
Would it be possible to help me walk through these equations with my values (step by step if possible) ? Since I wish to do this with my other values myself thanks.