I am trying to write a programming function to solve this problem!, however i need to know the Math function first so i can implement the function program.
in this picture Distance Difference picture
if image not shown? please view from here: https://www.dropbox.com/s/ue8k08cgzzy02z4/pic.jpg?dl=0
i am using this library on github for hardware for TDOA (Time difference of arrival): https://github.com/bitcraze/crazyflie-firmware/tree/52ecf3a0cfde0bf3335e0dbd6b27ce4cc4fd477b
the incoming data from the hardware according to the picture (which is distance difference) are these:
r1 - r2 = d
or
r2 - r1 = d
or
r1 - r3 = d
or
r3 - r1 = d
or
r2 - r3 = d
or
r3 - r2 = d
so (d) might be negative or positive
and these are knowns (anchor positions)
A1(x1,y1)
A2(x2,y2)
A3(x3,y3)
so i only have d, x1, y1, x2, y2, x2, y3 and the two anchors number that gave value (d)
Question1: Are these known input data enough to calculate the Tag position which are x0, y0
Question2: if Yes!, please demonstrate? with Mathematical/Sudo Programming function.
Question3: i included random (keywords) tags for the question because i have no idea of which type of questions in math is this question!, so if you do, please advice.
Any help would be appreciated.
Thank you.