Abstract
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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