Abstract
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.
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