Noise reduction in recursive digital filters using high-order error feedback
Noise reduction in recursive digital filters using high-order error feedback
复制标题
使用高阶误差反馈降低递归数字滤波器的噪声
DOI：
10.1109/78.134473
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
I. Hartimo
中科院分区：
文献类型：
--
作者：
T. Laakso;I. Hartimo
在一般高阶情况下解决了求解递归数字滤波器的最佳（最小噪声）误差反馈系数的问题。结果表明，当滤波器输出端需要最小噪声方差时，优化问题会产生一组熟悉的 Wiener-Hopf 或 Yule-Walker 方程，表明最优误差反馈可以解释为 Wiener 滤波的特殊情况。作为最优解的替代方案，推导了具有对称或反对称系数的次优误差反馈的公式。此外，还讨论了使用二次方系数的误差反馈的设计。高阶误差反馈的效率通过一组标准滤波器的测试实现来检验。结论是，误差反馈是一种非常强大且通用的方法，用于减少任何作为二阶直接形式部分级联实现的经典无限脉冲响应 (IIR) 滤波器中的量化噪声。高阶方案对于与高阶直接形式截面一起使用很有吸引力。 >
The problem of solving the optimal (minimum-noise) error feedback coefficients for recursive digital filters is addressed in the general high-order case. It is shown that when minimum noise variance at the filter output is required, the optimization problem leads to set of familiar Wiener-Hopf or Yule-Walker equations, demonstrating that the optimal error feedback can be interpreted as a special case of Wiener filtering. As an alternative to the optimal solution, the formulas for suboptimal error feedback with symmetric or antisymmetric coefficients are derived. In addition, the design of error feedback using power-of-two coefficients is discussed. The efficiency of high order error feedback is examined by test implementations of the set of standard filters. It is concluded that error feedback is a very powerful and versatile method for cutting down the quantization noise in any classical infinite impulse response (IIR) filter implemented as a cascade of second-order direct form sections. The high-order schemes are attractive for use with high-order direct form sections. >