An approach to eliminate roundoff errors in digital filters
AHMAD I. ABU-EL-HAIJA, A. M. Peterson · IEEE Transactions on Acoustics Speech and Signal Processing · 1979
"Second-order quantizers" are introduced which can be used for implementing recursive digital filters with practically no roundoff errors or limit-cycle oscillations. Based on the idea of changing the transfer function used to compute roundoff errors, these quantizers save the low-order bits to correct the product at future iterations. For several pole locations, this can be done with a minimal amount of extra hardware.