Floating point quasi maximum accuracy arithmetics for digital signal processing

Floating-point arithmetics for digital signal processing are considered. In order to minimize rounding noise, arithmetic operations should be computed possibly exactly. For that reason, maximum accuracy arithmetics are investigated. There are generally two ways to realize such arithmetics: a hardware solution and/or a software solution. The former uses standard floating-point arithmetics but is practically unrealizable because of the need of an extremely long accumulator. For the latter, new algorithms are developed. In order to realize signal processing tasks in real time, a compromise between computation time and accuracy must be found. This leads to the so called quasi-maximum accuracy algorithms which are investigated in this paper.