Implementation options for block floating point digital filters

Different options for block floating point filter implementation are introduced and their efficiency determined. The efficiency is quantified by the additional number of operations over those required for fixed point operation. Some of the implementations are new. It is shown that they are more efficient than the existing ones. Examples are given in which the processing time per recursion of a block floating point implementation on a fixed point processor is approximately the same as the recursion time of the corresponding fixed point implementation. Application of block floating point arithmetic to block implementations is also considered.