Fast state-space decimator with very low round-off noise

Abstract

A method for the efficient realization of high-order Infinite Impulse Response (IIR) output-decimating State-Space Digital Filters (SSDF) is presented. By applying the state decimation and block processing to the nth-order narrow-band SSDFs, computational efficiency as well as low round-off noise levels are achieved. Further, the favorable behavior of certain SSDF forms with respect to the overflow limit cycles is retained. Such Fast State-Space IIR Decimators (FSSD) are simple to design, have multiplication rates comparable to Finite Impulse Response (FIR) decimators, have a highly parallel processing algorithm, and are very easy to implement on programmable signal processors. In the digital filter applications which do not require the linear-phase response, the FSSD may be considered as an alternative to a single-stage FIR decimator for moderate decimation factors.