Efficient and Multiplierless Design of FIR Filters with Very Sharp Cutoff via Maximally Flat Building Blocks

Ahsrract -A new design technique for linear-phase FIR filters, based on maximally flat building blocks, is presented. The design technique does not involve iterative approximations and is, therefore, fast. It gives rise to filters that have a monotone stopband response, as required in some applications. The technique is partially based on an interpolative scheme. Implementation of the obtained filter designs requires a much smaller number of multiplications than maximally flat (MAXFLAT) FIR filters designed by the conventional approach. A technique based on FIR spectral transformations to design new multiplierless FIR filter structures is then advanced, and multiplierless implementations for sharp cutoff specifications are included.