Workshop on Quantum Information Theory and related Topics location:Hanoi, Vietnam date:1-3 September 2015
This talk presents a convex optimization model for the problem of finding some
polynomials for which the certainly linear combinations are nonnegative polynomials, and
its application to several filter design problems. We first reformulate
some low-pass filter design problems, with finite or infinite impulse response, as optimization problems over nonnegative (real or complex) polynomials whose feasibility
problems can be solved by applying our model. The whole optimization problems are
then solved by combining a bisection search procedure on an appropriate parameter and our convex optimization model to solve the feasibility problems.