PFF: Signal Reconstruction and Applications to Communications, Ultrasound Image Processing, and Earthquake Engineering

该项目的目标是双重的：信号重建领域的研究和信号处理的教学，这两个组成部分都强调信号处理的跨学科方面。该研究的主要重点是重建具有未知统计描述的信号，该信号仅从系统输出（盲反卷积）中通过具有未知特征的系统传播。在这个问题中，高阶统计量是强大的数学工具，能够揭示信号/过程的丰富信息（例如，相位，非线性的存在），同时抑制噪声。这项工作的理论发展将应用于数字通信、医学诊断和地震工程等领域，并有望为这些领域带来新的知识。在教学方面，目标是开发和维护一个新的系统课程，强调统一不同工程学科的原则。为了实现这一目标，将建立一个最先进的多媒体信号处理实验室，并设计新的课程。

The goal of the project is twofold: research in the area of signal reconstruction, and teaching in signal processing, both components emphasizing on the interdisciplinary aspect of signal processing. The main thrust of the research is the reconstruction of a signal with unknown statistical description that propagates through a system with unknown characteristics, solely from the system's output (blind deconvolution). Higher Order Statistics are powerful mathematical tools to be employed in this problem, capable of revealing a wealth of information about the signal/process (e.g., phase, presence of nonlinearities), and at the same time suppressing noise. The theoretical developments of this work will be applied in the areas of digital communications, medical diagnostics and earthquake engineering, and are expected to bring new knowledge to these fields. In the area of teaching the goal is to develop and maintain a new systems curriculum, highlighting principles that unite different engineering disciplines. Towards this goal, a state-of-the-art multimedia signal processing laboratory will be developed, and new courses will be designed.