Proper scalings in recursive lattice digital filters for minimum round-off noises

A systolizable digital filter is considered which is capable of achieving a high-performance with respect to good finite-word-length effects as well as high-throughput and is also suitable for VLSI implementation. A simple method to compute the average power at each internal node and a method to compute the output roundoff noise in the proposed digital filter are presented. Based on this approach, for a given transfer function, the authors consider the design of a minimum roundoff noise filter with the proposed systolizable structure under the constraints that the signal powers of internal nodes are well scaled. Some results for this problem are obtained by using a local optimization technique. Specific numerical examples show this approach yields less roundoff noise as compared to the Rao-Kailath´s orthogonal digital filters