The Model of Localization Precision for Detection of Hidden Transmitters

Abstract

The article deals with the problem of remote search for hidden transmitters in a large office. Such a search should be performed inconspicuously for office visitors so that an attacker could not turn off the transmitter during the search. The complexity of the inconspicuous manual search for bugs is shown and the necessity of using a remote automated search for illegal transmitters is substantiated. The decision on the use of remote search can be made on the basis of a priori knowledge of the localization precision of a hidden transmitter. To calculate the precision of localization, a mathematical model is proposed on the basis of measuring the distances from the receiving antennas to the alleged hidden transmitter. The range and the precision of the distance from the transmitter to the receiving antenna can be calculated by knowing the attenuation of the signal during its propagation under certain conditions. The more heterogeneous the wave propagation environment, the greater the error in determining the range. The localization precision of the hidden transmitter is calculated using the Least Squares Method. The main parameter of localization precision is the Mean Square Error of its location. It is shown that the values of the Mean Square Error of localization depend both on the precision of the range measurement and on the position of the receiving antennas relative to the transmitter. The capabilities of the developed model for determining the required number of receiving antennas at a given localization precision are also shown. The simulation of a multi-storey office building was carried out and the parameters of localization precision were estimated for a different number of receiving antennas. The possibility of increasing the precision of localization with an increase in the number of antennas has been confirmed. The article concludes that it is advisable to use such a model when building scanners to search for illegal bugs and transmitters.