2025年9月17日（星期三）10:30通訊所演講訊息如下，歡迎踴躍參加!!

Title: Extending Wiener Filtering to Multichannel Systems: Tensor Wiener Filters and Their Applications

Speaker: Shih Yu Chang (San Jose State University)

Date & Time: 10:30 ~ 12:00, 2025/9/17 (Wednesday)

Location: 清華大學台達館304室 (R304, Delta Building, NTHU)

ABSTRACT

In classical signals and systems theory, the Wiener filter is a cornerstone technique for designing optimal linear time-invariant (LTI) filters that transform input signals to match desired outputs. However, modern real-world systems increasingly involve multi-channel and multi-dimensional data, rendering the traditional one-dimensional Wiener-Hopf framework insufficient.

In this talk, we introduce a novel extension—Tensor Wiener Filter (TWF)—which generalizes Wiener filtering to multi-input multi-output (MIMO) systems. Unlike conventional approaches that rely on correlation matrices, TWF leverages correlation tensors and requires a new class of mathematical tools for solving what we term the MIMO Wiener-Hopf equation.

We present a new parallel block-Jacobi tensor inversion algorithm, enabling efficient computation of these optimal filters. Applications across seismic signal processing, image filtering, and economic forecasting will be discussed.

Benefits to Signals and Systems students:

•    Gain deeper insight into the limitations of classical linear systems theory in multidimensional settings.

•    Explore how core principles—like convolution, correlation, and LTI systems—can be extended using modern tensor-based methods.

•    Learn about emerging applications of signal processing in multi-sensor and data-rich environments.

This talk bridges foundational concepts from the course with advanced, real-world extensions critical for today’s complex systems.

BIOGRAPHY

Shih Yu Chang received a B. S. E. E. degree from National Taiwan University, Taiwan, in 1998, and Ph. D. degrees in electrical engineering and computer engineering from University of Michigan, Ann Arbor, in 2006. From August 2006 to February 2016, he was the faculty in the Department of Computer Engineering, National Tsing Hua University, Hsinchu, Taiwan. From July to August 2007, Dr. Chang had been a visiting assistant professor at Television and Networks Transmission Group, Communications Research Centre, Ottawa, Canada. From June 2018, he began to provide lectures about machine learning, data science, and AI in San Jose State University, San Jose, CA, USA.  Besides academic positions, Dr. Chang also provides consulting work as an AI technical lead focusing on applying machine learning techniques to automate office work.

Dr. Chang has published more than 110 peer-refereed technical journals and conference articles in electrical and computer engineering. His research interests include the areas of wireless networks, wireless communications and signal processing. He currently serves as the technical committee, symposium chair, track chair, or the reviewer in networking, signal processing, communications, and computers.

Host: Prof. Scott CH Huang