Asymptotic error bounds for block floating point digital filters
K. Ralev, Peter H. Bauer · 2002
This paper analyzes the register length requirements for block-floating point digital filters. Both, shift and delta operator systems are considered. In particular the block mantissa length requirements are investigated, if the asymptotic response of the filter is to converge to underflow or to be bounded. Examples which illustrate the conservatism of the result are also provided.