Spatial distribution of bit error in a model of multi-antenna information transmission based on ultra-wideband chaotic radio pulses

The problem of calculating the spatial distribution (2D) of the bit error probability in a wireless system consisting of two spatially separated groups of ultra-wideband (UWB) transceivers is analyzed. The error distribution is analyzed with respect to the devices of the first group, which simulate wireless data transmission between themselves using chaotic UWB radio pulses. The second group of devices plays the role of a source of interfering UWB signals in the same frequency band as the devices of the first group. The conditions under which it is possible to transmit information between the devices of the first group against the background of interference from the second are of interest. A UWB signal in the range of 100-500 MHz obtained from real generators of chaotic oscillations is used as a model of the UWB signal. Different relative position of devices in space are considered. The limiting signal-to-interfence ratios are established at which it is possible to transmit information with a bit error probability of 10-3. The developed method for calculating the error probability distribution in a 2D is described. The proposed numerical scheme significantly reduces the amount of calculations compared to a straightforward scheme that uses enumeration of all possible positions of devices in a 2D. It is shown that when the signal-to-noise ratio at the receiving point for any pair of receiving and transmitting devices exceeds the value of -3 dB, there is no need to coordinate the operation of devices of the first group with devices of the second group, i.e. to monitor the level of interference.