Design of Minimum-Phase Filters Using Optimization

作者：Kidambi Sunder^*; Antoniou Andreas

来源：IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2017, 64(4): 472-476.

DOI：10.1109/TCSII.2016.2584002

• Digital filters
• finite-duration impulse response (FIR) filters
• minimum-phase filters

A method for the design of minimum-phase finite-duration impulse response digital filters using spectral factorization is described. In the proposed method, the required digital filter is designed by formulating a set of nonlinear equations that represent the design problem at hand and then solving it by using the Levenberg-Marquardt optimization method. By using an exact formulation for the Jacobian and Hessian matrix in the Levenberg-Marquardt method, significant performance improvement and fast convergence is achieved. Comparisons show that the new method leads to a significant reduction in the maximum value and the L-2 norm of the residual error relative to those in state-of-the-art competing methods.

• 出版日期2017-4