Adaptively obtaining optimum cost functions in designing FIR (Finite Impulse Response) digital filters

An iterative algorithm is proposed for adaptively obtaining such optimum functions. The paper sums up the essentials of usual adaptive design of FIR digital filters, and deals with the iterative algorithm for enhancing the effectiveness of FIR digital filter design through adaptively obtaining optimum cost functions. Essentially, the iterative algorithm is based on the consideration that when responses at some frequencies do not satisfy the design requirements, an adaptive procedure is used to change the corresponding cost function values so as to reach a best fit between the FIR digital filter response and the design requirements. Two examples are taken to illustrate the applicability of the iterative algorithm to many engineering problems.