Mathematical simulation of remote detection of human breathing and heartbeat by multifrequency radar on the background of local objects reflections

The mathematical description of signal processing basic stages in multifrequency radar intended for detection of human breathing and heartbeat is given. Cross-correlation functions of different kinds of the multifrequency probing signals, modelling optimum processing of impulses are compared in view of resolution, levels of lateral lobes and presence of diffractive maxima. The model of multifrequency radar signal taking into account breath and palpitation of the person is offered. For remote allocation of person's breath and heartbeat realizations with selection on range cells the spectral analysis in each range element is used. Such a selection besides definition of range up to the living human allows excluding reflections from motionless and inactive local objects, available in other range cells.