Abstract: This paper introduces a method for the design of wideband signal sampling system based on fractional delay filters. The induced error caused by multichannel sampling can be treated as a hybrid system, which can be converted to a finitedimensional linear timeinvariant digital system using H∞ optimization. The equivalent digital system enables the design of digital synthesis filters using linear matrix inequalities. Experimental results show that the proposed approach minimizes induced errors, and yields better performance compared to existing techniques without band limiting assumption.

Key words: wideband signal sampling, fractional delay, linear matrix inequalities, filter design

摘要： 介绍一种基于分数延迟滤波器的宽带信号采样系统设计方法。该方法将并行采样引入误差看作一个混合系统，在H∞最优化框架下，将此误差系统等效为一个有限维线性时不变数字系统。利用线性矩阵不等式组设计系统中的数字合成滤波器。实验结果证明，该系统能有效控制引入误差，在输入非理想带限信号时同样具有良好的性能。

关键词: 宽带信号采样, 分数延迟, 线性矩阵不等式, 滤波器设计

CLC Number: 

• TP393