The integer simulation and development finite impulse response (FIR) filters taking into account the possibilities of their realization on digital integer platforms are considered. The problem statement and solution of multifunctional synthesis of digital FIR filters such a problem on the basis of the numerical methods of integer nonlinear mathematical programming are given. As an several examples, the problem solution of synthesis FIR-filters with short coefficient word length has been given. The analysis of their characteristics is resulted. The paper discusses issues of modeling and synthesis of digital FIR filters with provision for the possibilities of their implementation on digital platforms with integer computation arithmetic. The formulation of the problem of multifunctional synthesis of cascade FIR filters using the methods of integer nonlinear mathematical programming is given. The efficiency of this approach is illustrated by examples of solving the problems of synthesizing integer FIR filters with a minimum coefficient word length. The analysis of the synthesized filter characteristics is made.
