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MSB-First Interval-Bounded Variable-Precision Real-Time Arithmetic Unit

机译:MSB-First区间有界的可变精度实时算术单元

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This paper presents a paradigm of real-time processing on the lowest level of computing systems: the arithmetic unit. The arithmetic unit based on this principle containing addition, subtraction, multiplication and division operations is described. The development of the computation model is based on the Soft Computing and the Imprecise Computation paradigms, combined with the MSB-First and the Interval Arithmetic techniques. Those paradigms and techniques give the arithmetic unit design the ability to compute with precisions as a function of time available or accuracy needed. The predictability of processing time and result?s accuracy are obtained by means of processing granularity of k-bits and by using look-up tables. We present an evaluation of the operation in time delay and computation accuracy that shows significant performance improvement over conventional arithmetic unit architecture, that is, the ability to produce intermediate-result during execution time, to give certainty in computation accuracy even before the process finish time by providing two intermediate-results, which act as the lower and upper bound of the real and complete computation result, and finally, gain high computation accuracy from the early time of the execution process.
机译:本文提出了一种在最低级别的计算系统上实时处理的范例:算术单元。描述了基于该原理的算术单元,包括加,减,乘和除运算。计算模型的开发基于“软计算”和“不精确计算”范例,并结合了MSB-First和“区间算术”技术。这些范例和技术使算术单元设计能够根据可用时间或所需精度来进行精确计算。处理时间和结果准确性的可预测性是通过处理k位的粒度以及使用查找表获得的。我们提出了对时间延迟和计算精度的评估,与常规算术单元体系结构相比,该算法显示出显着的性能改进,即在执行时间内产生中间结果的能力,甚至可以在处理完成之前确定计算精度通过提供两个中间结果,它们充当真实和完整计算结果的下限和上限,并最终从执行过程的早期开始获得较高的计算精度。

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