Novel Non-iterative Least Square Method with Adjustable Weighting Vector for Filter Design

[摘要] A novel non-iterative weighted least square method is presented. The new method advances the traditional non-iterative least square formula into a new non-iterative weighted least square formula with a controllable weighting vector. The weighting vector can be adjusted to control the stop-band attenuation of the filters designed by the new formula. In addition, how to choose the reasonable weighting values is discussed through examples. The simulations of the new method are provided to demonstrate its performance. The simulations results show, when compared with the traditional least square method, the stop-band attenuation of the filters designed by the new formula can easily attain the higher grade by adjusting the weighting vector.

[发布机构] School of Electronic Engineering, Xi'An Aeronautical University, No.259 Xi'an West Second Ring Road, Xi'an; 710077, China^1;National Key Laboratory of Antenna and Microwave Technology, School of Electronic Engineering, Xidian University, No.2 Taibai South Road, Xi'an; 710071, China^2

[效力级别] 无线电电子学 [学科分类] 计算机科学（综合）

[关键词] Filter designs;Least square methods;Non-iterative;Stopband attenuation;Weighting values;Weighting vector