Smoothing Filtering of Observed Samples Acoustic Signals and Interference in Audio Exchange Telecommunications

The problem of constructing algorithms for smoothing data, ensuring a smooth conjugation of generalized polynomials constructed from a system of linearly independent functions, is considered. It is shown that the solution of the problem of determining the coefficients of polynomials is obtained by conditional minimization of the objective function. The objective function is the quadratic loss function. The smoothness of the conjugation of polynomials is thus ensured by constraints of the type of equality. The problem of smoothing filtering of acoustic noise is investigated, the structure of the smoothing filter algorithm is presented. Methods of simulating the processing of special test signals by the algorithm of smoothing confirmed the possibility of performing a frequency-time analysis of the observed sequences. The obtained results indicate the possibility of using the smoothing algorithm in problems of analysis of multi-extremal dependences, which include the intensity of acoustic signals in telecommunications.