The storage requirements of the array-dominated and loop-organized algorithmic specifications running on embedded systems can be significant. Employing a data memory space much larger than needed has negative consequences on the energy consumption, latency, and chip area. Finding an optimized storage of the usually large arrays from these algorithmic specifications is an important step during memory allocation. This paper proposes an efficient algorithm for mapping multi-dimensional arrays to the data memory. It computes bounding windows for live elements in the index space of arrays, but this algorithm is several times faster.