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In this paper, we present a novel algorithm to design sparse FIR digital filters in the minimax sense. To tackle the nonconvexity of the design problem, an efficient iterative procedure is developed to find a potential sparsity pattern. In each iteration, a subproblem in a simpler form is constructed. Instead of directly resolving these nonconvex subproblems, we resort to their respective dual problems...
This paper extends the neural network based algorithm to the equiripple design of FIR digital differentiators in the weighted least-squares (WLS) sense. The error representation reformulated by the Lyapunov error function reflects the difference between the desired amplitude response and the designed response. The optimal filter coefficients are obtained when the neural network is convergent. Furthermore,...
Digital filters with adjustable bandwidth(s) are generally desirable in many applications like audio processing and telecommunication. This paper proposes a generalized Farrow structure for adjustable bandwidth linear-phase FIR filters designed under a minimax design criterion. The bandwidth of the proposed filter structure can be continuously adjusted with an updating routine that only involves a...
This paper discusses some issues related to the filter design in a class of multimode transmultiplexers (TMUXs). These TMUXs cover a large set of frequency division multiplexed (FDM) scenarios with simple reconfigurations. The reconfiguration is performed by changing the values of some multipliers. The paper outlines a direct filter design to decrease the level of inter-symbol and inter-carrier interference...
This brief addresses the design of the compensation filter of a generalized comb filter (GCF). The proposed method is general and can be applied to different design constraints, i.e., maximally flat, least square, and minimax. The coefficients of the proposed filter for all three cases can be obtained by solving two simple linear equations. The filter operates at a low rate and considerably reduces...
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