RU2012157985A - METHOD FOR DETERMINING THE FIXED RADIO BEACON COORDINATES WITH AN ACTIVE RESPONSE - Google Patents

Abstract

A method for determining the coordinates of a stationary radio beacon with an active transponder, comprising sending a request signal to a transmitter of an interrogator, receiving and re-emitting a request signal by a transponder to a radio beacon, characterized in that the radiation of the request signal is carried out by a moving transmitter of the interrogator at N points with coordinates [x, y], range, the magnitude of the delay of the signal of the responder relative to the signal of the interrogator is performed in each of the N measurement points on the trajectory of the transmitter of the interrogator, and t the interrogator moving path is chosen so that the angle between the directions from the possible location of the beacon to the extreme points of the trajectory is greater than 180 °, and the coordinates [x, y] of the stationary beacon with the active transponder are calculated by determining the minimization arguments (functions F (x, y) :Where

Claims (1)

A method for determining the coordinates of a stationary radio beacon with an active transponder, including sending a request signal to the transmitter of the interrogator, receiving and re-emitting the request signal by the transponder to the radio beacon, characterized in that the radiation of the request signal is carried out by the moving transmitter of the interrogator at N points with coordinates [x _i , y _i ], $$i=\overline{\mathrm{one,}N}$$

range measurement $${\tilde{R}}_i$$

, $$i=\overline{\mathrm{one,}N}$$

according to the magnitude of the delay of the responder signal relative to the interrogator signal, perform at each of the N measurement points on the trajectory of the transmitter of the interrogator, and the trajectory of the interrogator is selected so that the angle between the directions from the possible location of the beacon to the extreme points of the trajectory was greater than 180 °, and the coordinates [ x, y] a stationary beacon with an active transponder is carried out by defining minimization arguments (functions F (x, y): $$\left[x,\text{y}\right]=\underset{〈x,\text{y}〉}{\arg \text{min}}\left\{F\left(x,\text{y}\right)\right\}=\underset{〈x,\text{y}〉}{\arg \text{min}}\left\{{\displaystyle \sum _{i=\mathrm{one}}^N\left(\sqrt{{\left(x_i-x\right)}^2+{\left(y_i-y\right)}^2}-{\tilde{R}}_i\right)}\right\},$$

Where $$F\left(x,y\right)={{\displaystyle \sum _{i=\mathrm{one}}^N\left(\sqrt{{\left(x_i-x\right)}^2+{\left(y_i-y\right)}^2}-{\tilde{R}}_i\right)}}^2.$$