New Concepts in Digital Signal Processing

数字信号处理的新概念

• 批准号: 9200581
• 负责人: John Adams
• 金额: $ 23.84万
• 依托单位: The University Corporation, Northridge
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-09-01 至 1996-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9200581&HistoricalAwards=false
• 关键词: New; Concepts; Digital; Signal; Processing

Adams Recent research has revealed that the minimax and least- squares optimality criteria are inappropriate for many digital signal processing applications. Minimax and least-squares optimization problems are subsets of a more general (and much more important) class of problems which are referred to as peak- constrained least-squares (PCLS) optimization problems. PCLS solutions are needed for many digital signal processing applications, but PCLS research is still in its infancy. The objective of this research is to develop new concepts in digital signal processing that are based on PCLS optimization. Techniques from the theory of mathematical programming are being used as the basis for this research. Three categories of design algorithms are being developed: 1. new multiple exchange algorithms; 2. extensions of conventional quadratic programming algorithms; and 3. extensions of Lawson's algorithm.

Adams 最近的研究表明，极小极大和最小二乘最优标准不适用于许多数字信号处理应用。 极小极大和最小二乘优化问题是更一般（也更重要）的一类问题的子集，这些问题被称为峰值约束最小二乘 (PCLS) 优化问题。 许多数字信号处理应用都需要 PCLS 解决方案，但 PCLS 研究仍处于起步阶段。 本研究的目的是开发基于 PCLS 优化的数字信号处理新概念。 数学规划理论的技术被用作这项研究的基础。 正在开发三类设计算法： 1. 新的多重交换算法； 2.传统二次规划算法的扩展； 3.Lawson算法的扩展。