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提出了一个对任何连续信号，利用双尺度方程的近似解的近似采样定理．采样函数是一个双尺度方程的近似解，是一个逐段线性函数，有明确的计算公式，且精度可以控制．采样函数由双尺度方程的系数唯一决定，可以通过选择双尺度方程的系数而使采样函数具有良好的性质．
An approximate sampling theorem for approximating any continuous signal using a two-scale equation is proposed. The sampling function is an approximate solution to a two-scale equation and is a piecewise linear function with well-defined formulas that can be controlled with accuracy. The sampling function is uniquely determined by the coefficients of the two-scale equation, and the sampling function can have good properties by selecting the coefficients of the two-scale equation.