Two-channel linear phase FIR QMF bank minimax design via global nonconvex optimization programming

In this correspondence, a two-channel linear phase finite impulse response (FIR) quadrature mirror filter (QMF) bank minimax design problem is formulated as a nonconvex optimization problem so that a weighted sum of the maximum amplitude distortion of the filter bank, the maximum passband ripple magnitude and the maximum stopband ripple magnitude of the prototype filter is minimized subject to specifications on these performances. A modified filled function method is proposed for finding the global minimum of the nonconvex optimization problem. Computer numerical simulations show that our proposed design method is efficient and effective.

• Type: Journal
• Year: 2010
• Where: TSP
• Authors: Charlotte Yuk-Fan Ho, Bingo Wing-Kuen Ling, Lamia Benmesbah, Ted Chi-Wah Kok, Wan-Chi Siu, Kok Lay Teo
• Keywords: Artificial Intelligence, Minimax Design Problem, Nonconvex Optimization Problem, Quadrature Mirror Filter, TSP 2010