A convex optimization method to solve a filter design problem

作者：Thanh Hieu Le; Van Barel Marc^*

来源：Journal of Computational and Applied Mathematics, 2014, 255: 183-192.

DOI：10.1016/j.cam.2013.04.044

• Filter design
• Convex optimization
• Nonnegative polynomial

In this paper, we formulate the feasibility problem corresponding to a filter design problem as a convex optimization problem. Combined with a bisection rule, this leads to an algorithm for minimizing the design parameter in the filter design problem. A safety margin is introduced to solve the numerical difficulties when solving this type of problem numerically. Numerical experiments illustrate the validity of this approach for larger degrees of the filter as compared to similar previous algorithms.

• 出版日期2014-1-1