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作为一种优化算法,利用伪布尔函数特别适用于解决其变量可以表示成0,1二个数字的优化问题。本文首次提出将“解线性伪布尔不等式系统”的算法应用于IIR数字滤波器系数字长的优化问题。文章介绍了算法的基本原理并用一个6阶低通滤波器及一个8阶带通滤波器对本算法的有效性进行了验证。
As an optimization algorithm, the use of pseudo-Boolean function is particularly suitable for solving the optimization problem whose variables can be expressed as 0, 1 and 2 numbers. This paper proposes for the first time an optimization problem of “linear Pseudo-Boolean Inequality System” applied to word length of IIR digital filter coefficients. This paper introduces the basic principle of the algorithm and validates the effectiveness of the algorithm with a 6th order low pass filter and an 8th order passband filter.