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Multidimensional Retiming is one of the most important optimizationtechniques to improve timing parameters of nested loops. It consists inexploring the iterative and recursive structures of loops to redistributecomputation nodes on cycle periods, and thus to achieve full parallelism.However, this technique introduces a large overhead in a loop generation due tothe loop transformation. The provided solutions are generally characterized byan important cycle number and a great code size. It represents the mostlimiting factors while implementing them in embedded systems. In this paper, wepresent a new Multidimensional Retiming technique, called "OptimalMultidimensional Retiming" (OMDR). It reveals the timing and data dependencycharacteristics of nodes, to minimize the overhead. The experimental resultsshow that the average improvement on the execution time of the nested loops byour technique is 19.31% compared to the experiments provided by an existentMultidimensional Retiming Technique. The average code size is reduced by 43.53%compared to previous experiments.

Timing and Code Size Optimization on Achieving Full Parallelism in Uniform Nested Loops