Computationally Efficient Linear Transforms for Next-Generation Remote Sensing Systems

本研究的目的是开发一种新的技术，有限位表示，使高性能的遥感系统的信号处理。 有限位表示的技术是基于多维连分数加上不使用乘法器的架构设计策略。 多维连分数在数学界已经知道了一段时间，但直到最近才被工程界广泛探索。 同时有理表示是多维分数族的一员，用于创建具有计算最优表示的固定整数变换。本研究旨在提供一种方法，可以减少传感器系统的尺寸，重量和成本，并提高其空间和时间分辨率。 在项目期间将探索各种硬件平台。 其中，现场可编程门阵列和数字信号处理器可能是最有吸引力的快速，低功耗设备。首席研究员目前担任美国印第安人在科学和工程社会章在俄克拉荷马州大学的教师顾问和共同首席研究员目前担任导师的两个高中机器人团队附近的俄克拉荷马州市。 再加上女工程师协会的学生，还有大学里的436名学生？鼓励中国的多元文化工程项目参与该项目。 遥感系统包括卫星、光探测和测距（LIDAR）、红外线和雷达。 因此，该项目帮助学生和研究人员更多地了解他们生活的环境。 实验利用位于俄克拉荷马州的国家气象雷达试验台。

The objective of this research is to develop a new technique for finite bit representation to enable high-performance signal processing for remote sensing systems. The technique for finite bit representation is based on multidimensional continued fractions coupled with an architectural design strategy that does not use multipliers. Multidimensional continued fractions have been known within the mathematical community for some time, but have largely been unexplored by the engineering community until recently. Simultaneous rational representations are a member of the multidimensional fraction family and are employed to create fixed integer transforms with computationally optimal representations.This research seeks to provide an approach that can decrease the size, weight, and cost of sensor systems and increase their spatial and temporal resolution. Various hardware platforms are to be explored during the project. Of these, field programmable gate arrays and digital signal processors are likely the most compelling for fast, low-power devices.The principal investigator is currently serving as the faculty advisor for the American Indians in Science and Engineering Society chapter at the University of Oklahoma and the co-principal investigator is currently serving as a mentor for two high-school robotics teams near Oklahoma City. In addition, the students from the Society of Women Engineers, and the 436 students in the university?s Multicultural Engineering Program are encouraged to participate in this project. Remote sensing systems include satellite, light detection and ranging (LIDAR), infra-red, and radar. As such, this project helps students and researchers learn more about the environment in which they live. Experiments utilize the National Weather Radar Testbed that is located in Oklahoma.