Discrete Lagrangian Methods for Designing Multiplierless Two-Channel PR-LP Filter Banks
Journal of VLSI Signal Processing Systems
Optimal finite-precision approximation of FIR Filters
Signal Processing - Image and Video Coding beyond Standards
Discrete Lagrangian Method for Optimizing the Design of Multiplierless QMF Filter Banks
ASAP '97 Proceedings of the IEEE International Conference on Application-Specific Systems, Architectures and Processors
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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