Low‐complexity minimax design of digital FIR filters utilising linear programming in BI‐DAC
Xing Yang, Houjun Wang, Ke Liu, Yindong Xiao · Electronics Letters · 2019
This Letter presented a new‐order optimal method for lowering the computational complexity of the traditional minimax design of digital finite impulse response (FIR) filter utilising linear programming (LP) in bandwidth interleaving digital‐to‐analogue converter (BI‐DAC). In this order optimal method, a one‐by‐one increasing method was presented to optimise all of digital FIR subfilters' orders in BI‐DAC so that these digital FIR subfilters' orders could be optimised to simultaneously satisfy all of given upper bounds of the distortion and aliasing errors. A design example was used to verify the effectiveness and low computational complexity of the presented low‐complexity minimax design utilising LP, and the simulation results were well‐pleasing.