The article is devoted to the development and implementation of algorithms for quadrature amplitude modulation and demodulation based on analog complex band pass filters with low-frequency Bessel prototypes. The use of complex Bessel filters makes it possible to obtain orthogonal carrier signals close in shape to symmetric signals with practically non-overlapping spectra. Overview of the development and implementation of a serial QAM modem based on analog complex band-pass Bessel filters. The procedure for obtaining the expression for the impulse response of analog complex band-pass Bessel filters is considered. With the help of circuit simulation, the frequency response and impulse response of such a filter are determined. The choice of the center frequency is carried out by setting two coefficients. A block diagram of a serial data transmission system with quadrature amplitude modulation (QAM) based on analog complex band-pass Bessel filters is proposed. The results of its circuit simulation in the Micro-Cap environment are presented.