V. V. Kirillov, V. C. Kristal, N. P. Chernecki

Development of modern radar goes on the way extension information stream about aims by means uses complicated signals. Receiving detailed exposition aims open before radars new perspective their application, but their utilization one ought to efficacious system processing this signals in real conditions, that is in conditions noise. In the present time there is effective system discover single signals known form, which give out on system distinguish signals, which determine interval between signals with use criterion Relei or his modifications. By work complicated signals form reflected signals unknown vatic and therefore well-known system discover in given case non applicable. In article view principle realization functions discover and distinguish in the form of united system processing accept complicated signal on base mathematical instrument decision return problems, utilize in mathematical physics. In this case decision seek in the form of decision integral equation Fredgolm the first kin, introduce continuous function. Prove existence decision problem joint discover and distinguish radar aims as return problem radar, prove single this decision and his stability. Answers on put questions find pronouncedly with positions theory decisions return problems with use presentation signal from aim as mirroring from mathematical model of aim. In quality criterion discover and distinguish serve distance between find function and type portrait aim in functional space.