### On the possibility of increasing the noise immunity of OFDM telecommunication systems using fractional Fourier transforms

#### Abstract

In this article we develop a telecommunication system with orthogonal frequency-division multiplexing technology (TCS-OFDM) where instead of traditional orthogonal transformations (OT), for example, Walsh, Haar, Fourier transforms, their fractional (FOT) or multiparameter implementations (MPOT) are used. Such transformations depend on a finite set of independent parameters (in case of fractional OT) or (in case of MPOT), which change their form. When , or the transformation takes the form of the classical OT, and when , or degenerates into the identical transformation. The results of modeling the signal transmission of the proposed TCS-OFDM with fractional Fourier transform (FrFT) under the action of a special targeting interference aimed at known vulnerabilities in the classical TCS-OFDM are presented. Comparative analysis of the proposed system and classical TCS-OFDM allowed us to conclude that TCS-OFDM with FrFT is less sensitive to this type of interference. It is also shown that proposed TCS-OFDM with FrFT has a smaller peak to average power ratio (PAPR) compared to the classical TCS-OFDM.

Realization of TCS-OFDM with FrFT does not require additional hardware or special software. The complexity of the FrFT calculation is comparable to the complexity of the classical discrete Fourier transform (DFT) calculation.

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