A Model Matching Approach to Multirate System Design

多速率数字系统在通信和信号处理中有重要的应用，包括重采样、插值、窄带滤波、传真系统、子带编码、多路复用、多分辨率分析和小波。本研究正在开发基于模型匹配方法的多速率信号处理系统系统设计算法，其中理想系统（模型）由实际的多速率系统近似，该系统由数字滤波器，调制器和上采样器/下采样器等组件组成。问题是如何选择实际系统的参数，使系统的性能尽可能接近理想系统。本研究中使用的系统之间差异的测量是基于两个系统对所有可能输入的输出差异。系统参数的选择是使所有有界能量输入信号的输出信号之差的最大能量最小。这种误差测量给出的系统，其近似质量对系统的特定输入类型不敏感。在直观设计方法有限的复杂系统中，例如在级联多速率系统的设计中，期望对传统设计的最显著改进。

Multirate digital systems have important applications in communication and signal processing including resampling, interpolation, narrow band filtering, fax systems, subband coding, transmultiplexing, multiresolution analysis, and waveletts. This research is developing algorithms for the systematic design of multirate signal processing systems based on a model-matching approach where an ideal system (model) is approximated by a practical multirate system consisting of components such as digital filters, modulators, and upsamplers/downsamplers. The problem is to choose the parameters of the practical system so that the performance of the system is as close as possible to the ideal system. The measurement of the difference between systems used in this research is based on the difference in outputs of the two systems for all possible inputs. System parameters are chosen to minimize the maximum energy of the difference between output signals for all bounded energy input signals. This error measure gives systems where the quality of the approximation is insensitive to the particular type of input to the system. The most significant improvements over conventional designs are expected in complicated systems where intuitive design methods are limited, such as in the design of cascaded multirate systems.