Separate/joint optimization of error feedback and realization for roundoff noise minimization in a class of 2-D state-space digital filters

Takao Hinamoto; Toru Oumi; Wu-Sheng Lu

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Separate/joint optimization of error feedback and realization for roundoff noise minimization in a class of 2-D state-space digital filters

机译：一类二维状态空间数字滤波器中误差反馈的分离/联合优化和舍入噪声最小化的实现

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摘要

Techniques for the separate/joint optimization of error-feedback and realization are developed to minimize the roundoff noise subject to l{sub}2-norm dynamic-range scaling constraints for a class of 2-D state-space digital filters. In the joint optimization, the problem at hand is converted into an unconstrained optimization problem by using linear-algebraic techniques. The unconstrained problem obtained is then solved by applying an efficient quasi-Newton algorithm. A numerical example is presented to illustrate the utility of the proposed techniques.

机译：开发了用于误差反馈和实现的分离/联合优化的技术，以使针对一类2-D状态空间数字滤波器的舍入噪声最小化，该噪声受l {sub} 2-范数动态范围缩放约束的影响。在联合优化中，使用线性代数技术将手头的问题转换为无约束的优化问题。然后通过应用有效的拟牛顿算法解决获得的无约束问题。给出了一个数值示例来说明所提出技术的实用性。

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《Multidimensional systems and signal processing》 |2007年第4期|共13页
作者
Takao Hinamoto; Toru Oumi; Wu-Sheng Lu;
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正文语种 eng
中图分类通信理论;
关键词
2-DIIR digital filters; Fornasini-Marchesini's second local state-space model; Roundoff noise minimization; Error feedback; Coordinate transformation; Separate/joint optimization; L{sub}2-scaling constraints; No overflow oscillations;

机译：2-DIIR数字滤波器;Fornasini-Marchesini的第二个局部状态空间模型;舍入噪声最小化;误差反馈;坐标变换;分离/联合优化;L {sub} 2-缩放约束;无溢出振荡;

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1. Separate/joint optimization of error feedback and realization for roundoff noise minimization in a class of 2-D state-space digital filters [J] . Takao Hinamoto, Toru Oumi, Wu-Sheng Lu Multidimensional systems and signal processing . 2007,第4期

机译：一类二维状态空间数字滤波器中误差反馈的分离/联合优化和舍入噪声最小化的实现
2. Roundoff Noise Minimization for 2-D State-Space Digital Filters Using Joint Optimization of Error Feedback and Realization [J] . Hinamoto T., Ohnishi H., Lu W.-S. IEEE Transactions on Signal Processing . 2006,第期

机译：利用误差反馈的联合优化实现二维状态空间数字滤波器的舍入噪声最小化
3. Jointly Optimized Error-Feedback and Realization for Roundoff Noise Minimization in State-Space Digital Filters [J] . Wu-Sheng Lu, Takao Hinamoto IEEE Transactions on Signal Processing . 2005,第6期

机译：联合优化的错误反馈和状态空间数字滤波器中舍入噪声最小化的实现
4. Roundoff Noise Minimization for a Class of 2-D State-Space Digital Filters Using Separate/Joint Optimization of Error Feedback and Realization [C] . Hinamoto, Takao, Oumi, . 2006

机译：利用误差反馈的分离/联合优化实现一类二维状态空间数字滤波器的舍入噪声最小化
5. STATE-SPACE STRUCTURES FOR THE REALIZATION OF LOW ROUNDOFF NOISE DIGITAL FILTERS. [D] . BOMAR, BRUCE WILLIAM. 1983

机译：用于实现低辐射噪声数字滤波器的状态空间结构。
6. Digital RNA sequencing minimizes sequence-dependent bias and amplification noise with optimized single-molecule barcodes [O] . Katsuyuki Shiroguchi, Tony Z. Jia, Peter A. Sims, 2012

机译：数字RNA测序通过优化的单分子条形码最大程度地降低了序列依赖性偏倚和扩增噪声
7. Roundoff Noise Minimization for a Class of 2-D State-Space Digital Filters Using Separate/Joint Optimization of Error Feedback and Realization [O] . Takao Hinamoto, Toru Oumi, Wu-sheng Lu 2013

机译：利用误差反馈的分离/联合优化实现一类二维状态空间数字滤波器的舍入噪声最小化

Separate/joint optimization of error feedback and realization for roundoff noise minimization in a class of 2-D state-space digital filters

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