Research Initiation: A Time-Sharing Estimation, Algorithm for Adaptive Signal Processing Using a Convex Set- Theoretic Approach

这项研究的目的是开发一种信息估计方案，并将排队引入自适应信号处理，从而设计出分时类型的估计器。凸集理论用于确定每个数据点包含多少创新信息。这项研究的意义来自于它在许多通信问题中的直接应用，如数字语音内插和统计多路传输；它对观测数据的有效利用，可以产生计算高效、成本有效和数值稳定的算法；以及它与VLSI技术、排队论和自适应信号处理之间的交互作用。

The objectives of this research are to develop an information estimation scheme and to introduce queueing to adaptive signal processing so that a time-sharing type estimator can be devised. Convex set theory is used to determine how much innovative information is contained at each data point. The significance of the proposed research stems from its immediate application in many communication problems such as digital speech interpolation and statistical multiplexing; its efficient use of observation data that can yield computationally efficient, cost effective, and numerically stable algorithms; and its interaction among VLSI technologies, queueing theory, and adaptive signal processing.