On obtaining of a transfer function with complex-conjugate poles of the same Q-factor by fourier approximation

This communication presents a method for obtaining a transfer function with multiple complex conjugate poles. The procedure is based on a special frequency transformation. The function derived from those to be approximated is expanded in a Fourier series with a finite number of terms. The application of the inverse transformation to this truncated series gives an algebraic ratio from which the transfer function with chosen poles can be obtained with known methods.