Two and Multidimensional Digital Filters and Related Problems

二维和多维数字滤波器及相关问题

• 批准号: 8410298
• 负责人: Eliahu Jury
• 金额: $ 14.05万
• 依托单位: University of Miami
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1985
• 资助国家: 美国
• 起止时间: 1985-03-01 至 1988-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8410298&HistoricalAwards=false
• 关键词: Two; Multidimensional; Digital; Filters; Related

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.

目前重要的一个主要研究领域是二维和多维信号的传感、传输和处理。 在涉及图像和图片信息以及语音和数字数据的传输、接收和处理的通信中，在石油等新资源领域的地球物理勘探中，以及在有多种信息源或信息渠道的任何环境中，都会出现一些重要的问题。 这项研究本质上是基础性的，将为多维系统中不断增长的应用奠定基础。 将研究二维和多维数字滤波器，重点是稳定性、综合和设计方法。 将研究与存在非本质奇点时的稳定性、量化误差评估、稳定性裕度、模型简化和图像处理的最佳数字化相关的问题。