Investigation of a new method for direct IIR digital filter realization using flattened coefficients

A new direct method for the conversion of FIR transfer function to IIR transfer function using flattened coefficients is presented. The non-linear equations are obtained by the long division coefficients of the IIR transfer function. The given coefficients of the FIR filter are equated to these equations and solved by using the non-linear system solution algorithms. To reduce the error between the IIR filter and given FIR filter, an error minimization algorithm is used and the presented method is compared with the other approximation methods. The effects of binary flattened coefficients are investigated. Keywords: FIR filter, IIR filter, long division