Formulas to Generate Efficient Piecewise-Polynomial Implementations of Narrowband Linear-Phase FIR Filters
Raija Lehto, T. Saramäki, Olli Vainio · 2006
Two computationally efficient structures to design and implement linear-phase narrowband FIR filters with a symmetrical piecewise-polynomial impulse response have been proposed by Saramaki and Mitra. The efficiency of these structures is based on implementing the overall transfer function as a parallel connection of a few branches of the form Gl(zL)Fl(z), where each Fl(z) requires no real multipliers. These structures have been generated in an ad-hoc manner. This paper introduces straightforward approaches to generate such Fl(z)s for both structures