Algorithms for processing acoustic signals in telecommunication systems by local parametric methods of analysis

The article describes the problem of recovery generally smooth function from discrete data. The algorithms of data smoothing were constructed providing a smooth pair of distributions built on the system of linearly independent functions, polynomials, defined at the conjugation of the analysis intervals. The results indicate the possibility of their use for the analysis of multiextremal functions which include the intensity of the acoustic signals functioning technical systems. Work is done according to implementation terms of the state task of Russian Federation No2.1228.2014K in scientific research.