Performance analysis of a low implementation complexity digital filter structure

It is well known that lattice filters have excellent finite word length properties and that there are five elementary lattice building blocks. A lattice structure may yield very different figures of performance when different elementary lattice blocks are used. This allows us to optimize the structure w.r.t. these elementary blocks. In this paper, a new lattice configuration is proposed, in which the traditional tapped/injected numerator structure with each stage realized using an optimally chosen one-multiplier elementary lattice block in the sense that the signal power ratio of the structure is minimized. For an Nth order filter, such a structure possesses only 2N + 1 multipliers. Simulation results show that the optimized structure outperforms the classical tapped and injected numerator lattice structures, in which two-multiplier elementary lattice blocks are utilized, in terms of reducing implementation complexity and minimizing the signal power ratio.