Development of Digital Algorithm for Flicker Noise Adaptive Non-Linear Filtering

The article deals with the problem of ultra-narrowband IoT signals processing in the presence of thermal noise and flicker noise (FN). To achieve the maximum efficiency of processing under conditions of a priori uncertainty, adaptation of the parameters of the FN model is used. An adaptive filtering algorithm is obtained based on the logarithm of the likelihood ratio in discrete time. The computer simulation method is used to study the speed and accuracy of adaptive parameter adjustment. The proposed method is relevant in the development of wireless sensors in the Internet of Things NB-IoT systems, as well as in other systems for receiving and transmitting ultra-narrowband signals.