Estimating the Effect of Gaussian Noise on Short-Range Wireless Devices

The article evaluates the influence of white Gaussian noise on short-range wireless devices using pseudorandom frequency hopping and double and M-th frequency modulation. The scope of application of these devices is quite extensive: from wireless control systems for various household devices to remote control of industrial installations. As a result of the above, the stated topic is relevant. As a criterion for assessing the influence of noise on the useful signal and devices, the average error probability in receiving a bit of information on the information channel of the device is used. In this case, the impact of Gaussian noise on both the main and additional information channels, and both channels simultaneously, is considered. The results of numerical experiments are presented in the form of graphs of the dependence of the average error probability on the signal-to-noise ratio for various values of the signal-to-intrinsic noise ratio. It is shown that when using double frequency modulation, the influence of interference on the additional channel is more significant, and the most noise-resistant devices are devices with a constantly changing frequency difference between the channels. When using M-th frequency modulation, an increase in the signal-to-noise ratio reduces the probability of error by up to five orders of magnitude. It has been shown that increasing the size of the signal alphabet leads to improved noise immunity of the device.