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Noise Reduction in Multidimensional Digital filters Using High-Order Error Feedback

使用高阶误差反馈降低多维数字滤波器中的噪声

基本信息

批准号：
07650497
负责人：
HINAMOTO Takao
金额：
$ 1.41万
依托单位：
HIROSHIMA UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1995
资助国家：
日本
起止时间：
1995 至 1996
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07650497/
关键词：
error spectrum shaping error feedback roundoff noise reduction of output noise two-dimensional digital filter two-dimensional rational transfer function state-space model M次元ディジタルフィルタ 3次元有理伝達関数

项目摘要

Stusies on "Noise Reduction in Multidimensional Digital filters Using High-Order Error Feedback" have been carried out as follows.1) For two-dimensional (2-D) recursive digital filters described by 2-D rational transfer functions, an algorithm has been developed for designing the optimal error-feedback. Moreover, algorithm have been presented for designing the suboptimal error-feedback, whose coefficients are symmetric or antisymmetric, in order to reduce the implementation cost and make the processing rate high.2) For 2-D state-space digital filters represented by the Roesser local state-space (LSS) model, an algorithm has been proposed for the design of the optimal high-order error-feedback. Also, algorithms have been explored to design the suboptimal high-order error-feedback with symmetric or antisymmetric coefficients.3) For 2-D state-space digital filters expressed by the Fornasini-Marchesini second LSS model, the optimal algorithm for designing high-order error-feedbacks has been investigated together with the suboptimal design algorithms of high-order error-feedbacks whose coefficient matrices are diagonal.4) A part of the algorithms mentioned above have been successfully extended to three-dimensional (3-D) recursive digital filters described by 3-D rational transfer functions.5) Some of the above algorithms have also been extended to multidimensional state-space digital filters successfully.Judging from these results, we consider that the objective of our study has been achieved sufficiently.

关于“使用高阶误差反馈的多维数字滤波器的降噪”的研究已进行如下。1）对于由2-D有理传递函数描述的二维（2-D）递归数字滤波器，开发了一种用于设计最佳误差反馈的算法。此外,还提出了设计系数对称或反对称的次优误差反馈的算法,以降低实现成本并提高处理速度。2)针对以Roesser局部状态空间(LSS)模型为代表的二维状态空间数字滤波器,提出了最优高阶误差反馈的设计算法。此外，还探索了具有对称或反对称系数的次优高阶误差反馈设计算法。 3)对于Fornasini-Marchesini第二LSS模型表示的二维状态空间数字滤波器，研究了设计高阶误差反馈的最优算法和高阶误差反馈的次优设计算法。其系数矩阵是对角的。4）上述部分算法已成功扩展到由3-D有理传递函数描述的三维（3-D）递归数字滤波器。5）上述一些算法也已成功扩展到多维状态空间数字滤波器。从这些结果来看，我们认为我们的研究目标已经充分实现。