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Fixed-point refinement of signal processing systems is an essential step performed before implementation of any signal processing system. Existing analytical techniques to evaluate performance of fixed-point systems are not applicable to the errors due to quantization in the presence of un-smooth operators. Thus, it is inevitable to use simulation to evaluate performance of fixed-point systems in the presence un-smooth operators. This paper proposes a hybrid technique which can be used in place of pure simulation to accelerate the performance evaluation. The principle idea in the proposed hybrid approach is to selectively simulate parts of the system only when un-smooth errors occur but use analytical results otherwise. The acceleration thus obtained reduces the performance evaluation time which can be used to explore a wider word-length design space or speedup the optimization process. This method has been tried on a complex MIMO sphere decoding algorithm and the results obtained show several orders of magnitude improvement in terms of evaluation time.