Modular Algorithms for Multidimensional Signal Processing

在模块化算法的标题下正在研究四个主题 用于多维信号处理。 第一个主题是 研究了有理传递函数的子类， 以级联点阵形式表示。 第二，多渠道 本文对所有正交格的特征进行了探讨 用于二维（2-D）信号的配置。 最大值的研究 熵（ME）方法与模型约束的关系构成了 第三个研究课题。 这项工作是基于调查人员最近 结果关于递归自回归模型的最优性， 最小化与ME的一定信息理论距离的术语 溶液 最后，将研究层剥离算法， 二维散射阵列 本研究是对格构模型方法的扩展 多维信号处理。 这种网格方法已经被 在一维信号的情况下 这是因为它对于VLSI以及对于自适应处理的优点。 研究人员正在努力解决一些难题， 将这些优点扩展到二维情况， 视频和计算机视觉。

Four topics are being studied under the heading of modular algorithms for multidimensional signal processing. The first topic is an investigation of the subclass of rational transfer functions which can be represented in cascade lattice form. Second, a multichannel approach is made to the characterization of all orthogonal lattice configurations for two-dimensional (2-D) signals. A study of maximum entropy (ME) methods in relation to model constraints constitutes the third topic of study. This work is based on the investigators recent results regarding the optimality of recursive autoregressive models in terms minimizing a certain information theoretic distance from the ME solution. Finally, layer-pealing algorithms will be investigated for 2-D scattering arrays. This research concerns the extension of the lattice modeling approach to multidimensional signal processing. This lattice approach has been very influential in the case of one-dimensional signals such as audio because of its advantages for VLSI and also for adaptive processing. The researchers are working on the difficult problems of trying to extend these advantages to the two-dimensional case for application to video and computer vision.