A set of parametric operators, algebraically defined for real time data processing

The computational complexity of a wide variety of applications, makes useful the development of new design strategies both in the direction of correctness (fault detection and avoidance) and reduction of computational time and physical device size. Since large part of numerical algorithms involves the computation of polynomial expansions in terms of sum and products of floating point numbers, one possible way to reduce both dimension and execution time of the designed devices, is to adapt the elementary operators to the very computational needs. In this paper a set of elementary floating point operators parametrically defined is presented. Multiplier, adder and numeric format conversion operators, are defined in a custom way with variable mantissa and exponent word length. Further, an application is shown in which reduction of floating point mantissa length is particularly useful for the computational time and hardware size improvement