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A new approach to the design of discrete coefficient FIR digital filters

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2 Author(s)
Jong-Jy Shyu ; Dept. of Comput. Sci. & Eng., Tatung Inst. of Technol., Taipei, Taiwan ; Yuan-Chih Lin

In this correspondence, the iterative Lagrange multiplier approach is proposed for designing discrete coefficient FIR digital filters. The method associates the conventional Lagrange multiplier approach and a tree search algorithm. For each branch of the tree, the Lagrange multiplier approach is used to optimize the remaining unquantized coefficients of the designed FIR filter in the least-squares sense when one or more of the coefficients takes on discrete values. Design examples, including general low-pass filters and Nyquist filters, are presented to demonstrate the effectiveness of the method. Also, the method can be extended to design discrete coefficient 2-D FIR filters

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Signal Processing, IEEE Transactions on  (Volume:43 ,  Issue: 1 )