In this paper we present the different modelling problems which a Digital Signal Processing (DSP) application designer has to tackle while refining an abstract specification relying on coarse grain data (e.g. matrices) toward a hardware implementation model relying on fine grain data (e.g. scalar). To address this problematic, we propose a modelling framework which can be used to refine an algorithm specified with coarse grain interfaces to a form which allow, from the functionnality point of view, to model all its fine grain hardware implmentation
