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Robust H ∞ $H_{\infty }$ deconvolution filtering of 2-D digital systems of orthogonal local descriptor
Multimedia Tools and Applications ( IF 3.6 ) Pub Date : 2021-04-26 , DOI: 10.1007/s11042-021-10845-9
Mostafa El Mallahi , Bensalem Boukili , Amal Zouhri , Abdelaziz Hmamed , Hassan Qjidaa

In this work, we propose a new set of \(H_{\infty }\) deconvolution filtering of 2-D color image using feature extraction of local descriptor and Fornasini-Machesini II (FM-II) model. The principal goal is to design 2-D deconvolution filter to reconstruct the noisy color image with the minimal information extracted from local Krawtchouk moment, Moreover, the filtering error system is asymptotically stable and satisfy the \(H_{\infty }\) performance index. the sufficient condition is given to ensure the \(H_{\infty }\) performance of the filtering error system through the Lyapunov theory, and the local Krawtckouk moment to give the feature extraction according to the order defined in advance instead of the global color image. Moreover, the 2-D deconvolution filter is designed to achieve the \(H_{\infty }\) performance index which the filter parameters are determined with certain optimization resolution. Finally, simulation example is provided to demonstrate the usefulness of the proposed design methods.



中文翻译:

正交局部描述符的二维数字系统的鲁棒H∞$ H _ {\ infty} $反卷积滤波

在这项工作中,我们提出了一套使用局部描述符的特征提取和Fornasini-Machesini II(FM-II)模型对二维彩色图像进行\(H _ {\ infty} \)去卷积滤波的新方法。主要目标是设计二维反卷积滤波器,以利用从局部Krawtchouk矩中提取的最少信息重建噪声彩色图像,而且,滤波误差系统是渐近稳定的,并满足\(H _ {\ infty} \)性能指标。给出足够的条件以确保\(H _ {\ infty} \)利用李雅普诺夫(Lyapunov)理论,通过滤波误差系统的性能和局部Krawtckouk矩,根据预先定义的顺序而不是全局彩色图像进行特征提取。此外,将二维反卷积滤波器设计为达到\(H _ {\ infty} \)性能指标,该指标以一定的优化分辨率确定滤波器参数。最后,提供了仿真实例来说明所提出的设计方法的实用性。

更新日期:2021-04-26
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