Noise Immunity of Binary Chirp Signals

Abstract

The results of a study of the noise immunity of receiving signals with linear frequency modulation in telecommunication information transmission systems are considered. Analytical expressions for the synthesis of binary signals by linear frequency modulation with control parameters are obtained. The dependence of the structure of linear frequency modulation signals on the shaping parameters has been studied. The optimization problem of finding the maximum value of the Euclidean distance for linear frequency modulation signals of a binary structure has been solved by modeling. Differences have been established in the noise immunity of receiving linear frequency modulation signals in relation to the binary structures of opposite and orthogonal signals. Diagrams of time and spectral fragments of linear frequency modulation signals are presented, explaining the essence of the research results. Graphs are presented for comparative assessment of the noise immunity of receiving binary signals of various structures in terms of the bit error probability as a function of the signal-to-noise ratio in the channel. The essence of correlation processing of signals with a large base is revealed.