A matrix-based IRLS algorithm for the least lp-norm design of 2-D FIR filters

Fast design of two-dimensional FIR filters in the least lp-norm sense is investigatedin this brief. The design problem is first formulated in a matrix form and then solved by amatrix-based iterative reweighted least squares algorithm. The proposed algorithm includestwo loops: one for updating the we...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Zhao, Ruijie, Lai, Xiaoping, Hong, Xiaoying, Lin, Zhiping
مؤلفون آخرون: School of Electrical and Electronic Engineering
التنسيق: مقال
اللغة:English
منشور في: 2020
الموضوعات:
الوصول للمادة أونلاين:https://hdl.handle.net/10356/144893
الوسوم: إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
المؤسسة: Nanyang Technological University
اللغة: English
الوصف
الملخص:Fast design of two-dimensional FIR filters in the least lp-norm sense is investigatedin this brief. The design problem is first formulated in a matrix form and then solved by amatrix-based iterative reweighted least squares algorithm. The proposed algorithm includestwo loops: one for updating the weighting function and the other for solving the weightedleast squares (WLS) subproblems. These WLS subproblems are solved using an efficientmatrix-based WLS algorithm, which is an iterative procedure with its initial iterative matrixbeing the solution matrix in the last iteration, resulting in a considerable CPU-time saving.Through analysis, the new algorithm is shown to have a lower complexity than existingmethods. Three design examples are provided to illustrate the high computational efficiencyand design precision of the proposed algorithm.