The issues has presented adaptive algorithms for nonlinear signal processing implemented using adaptive nonlinear block with a quadrature generators in the feedback circuit. The analysis of their work when exposed to narrow-band noise according to the criterion of maximal value of noise reduction ratio. Given the structural scheme of adaptive nonlinear block, including multidimensional implementation of a quadrature generators, as well as the results of mathematical modeling. It is shown that the hypersurface the search, adaptive nonlinear block implemented with a quadrature generator, is determined by the limitations of dynamic range in the nonlinear suppressor and quadrature generator and can be of arbitrary shape. It is shown that the task of adaptive nonlinear block is to achieve maximum noise reduction ratio and continuous tracking it.