A Schur-form based efficient structure for finite precision implementation of digital filters
Xu Hong · Journal of Circuits and Systems · 2010
In this paper,an efficient structure based on a Schur-form normal realizations is derived for digital filters.For an Nth order filter,the number of multiplies in such a structure is of an order about 3.5N.It is shown that the proposed structure is free of self-sustained oscillations.The corresponding expression of roundoff noise gain is obtained.Two design examples are presented to demonstrate the superior performance of the proposed sparse structure to several well-known realizations in terms of minimizing the finite precision effects that ultimately can not be avoided in real-time applications and reducing filter implementation complexity.