New Concepts in Digital Signal Processing

最近的研究表明，极大极小和最小二乘最优准则不适用于许多数字信号处理应用。极大极小和最小二乘优化问题是一类更一般（也更重要）的问题的子集，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。来自数学规划理论的技术被用作这项研究的基础。目前正在开发的设计算法有三类：新的多重交换算法；2. 传统二次规划算法的扩展和3。劳森算法的扩展。

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.