Two and Multidimensional Digital Filters and Related Problems

当前一个重要的研究领域是二维和多维信号的感知、传输和处理。在涉及图像和图像信息以及语音和数字数据的传输、接收和处理的通信中，在石油等资源新领域的地球物理勘探中，以及在存在多种信息来源或渠道的任何环境中，都会出现重要问题。这项研究是基础性的，将为在多维系统中日益增长的应用提供基础。二维和多维数字滤波器将被研究，重点是稳定性，合成和设计方法。在非必要的奇点存在的稳定性，量化误差的评估，稳定性的余量，模型减少，和图像处理的最佳数字化相关的问题将被检查。

A major research area of present importance is the sensing, transmission, and processing of two dimensional and multi-dimensional signals. Problems of significance arise in communications involving the transmission, reception, and processing of image and picture information along with voice and numerical data, ingeophysical exploration for new fields of resources such as oil, and in any environment where there are multiple sources or channels of information. This research is fundamental in nature and will provide the foundation for the growing applications in multi-dimensional systems. Two- and multi-dimensional digital filters will be investigated, with emphasis on stability, synthesis, and design methods. Problems related to stability in the presence of nonessential singularities, evaluation of quantization error, margin of stability, model reduction, and optimal digitization of image processing will be examined.