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首先阐明误差比率函数的三大数学特性。随后推出误差比率单位增量函数ΔERRdn和ΔERRdj。利用这两类连续函数对非线性离散本质的误差比率函数进行线性等价 :确定误差比率分布域的边界、推出边界函数。最后论证ΔERRdn和ΔERRdj两者同时为零的条件 ,从而揭示建立分时段并行A/D转换精度理想量化数学模型的根源。
First of all elucidation of the error rate function of the three mathematical characteristics. Then the error rate unit increment functions ΔERRdn and ΔERRdj are introduced. The two kinds of continuous functions are used to linearly equalize the error ratio functions of nonlinear discrete nature: the boundary of the error rate distribution field is determined, and the boundary function is introduced. Finally, the conditions that both ΔERRdn and ΔERRdj are zero at the same time are demonstrated, so as to reveal the origin of the ideal quantitative mathematical model for establishing parallel A / D conversion accuracy in sub-time periods.