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Jointly optimized high-order error feedback and realization for roundoff noise minimizaion in state-space digital filters

机译:在状态空间数字滤波器中的圆形噪声最小值的联合优化的高阶误差反馈和实现

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The joint optimization problem of high-order error feedback and realization for state-space digital filters to minimize the effects of roundoff noise at the filter output subject to l2-scaling constraints is investigated. The problem is converted into an unconstrained optimization problem by using linear-algebraic techniques. The unconstrained optimization problem at hand is then solved iteratively by applying an efficient quasi-Newton algorithm with closed-form formulas for key gradient evaluation. Finally, a numerical example is presented to illustrate the utility of the proposed technique.
机译:研究了高阶误差反馈和现实空间数字滤波器的联合优化问题,以最大限度地减少对电滤波器输出的距离滤波器输出的效果为L 2 -Scaling约束。通过使用线性代数技术将问题转换为无约束的优化问题。然后通过应用具有闭合式公式的高效准牛顿算法来迭代地解决了手中的无约束优化问题,用于关键梯度评估。最后,提出了一个数值示例以说明所提出的技术的效用。

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