The Signal Science Lab
Dream, Innovate, Deliver
The Story of New Ideas
It will never work
It will work, but only for short time
The guys are really lucky
They are right
Welcome Incoming PhD Students
Onboarding
The two must watch movies for graduate students
About Us
What We Do?
A modern innovation lab with multidisciplinary research focus on the problems that need urgent solutions from disease dignosis to data compression to anything under the sun. The lab pursues a synergistic interface among the disciplines of Computer Science, Electrical Engineering, Economics, Physical Sciences and Life Sciences. The fundamental and applied research carried out in the lab is aimed at technology development and commercialization, following the “lab-to-market” approach to address unmet societal needs.
Why We Do It?
The lab works on the philosophy of “using science to serve community”. Our motto is to “Invent Future”. The Lab members pursue high risk projects and believe that if “one is not failing, one is not trying hard enough”. The success of the projects is measured on practical outcomes, such as the number of start-ups and licensing agreements originated from the research projects.
How We Do It?
In the lab, the post-docs, graduate students and undergraduate students design research projects based on their own ideas. While common for post-docs and graduate students, undergraduate students also serve as first authors in publications as they independently work on their research projects. The lab environment is extremely collaborative where technical skills and experiences are constantly shared by the lab members.
Research Areas
1Electron Spin Resonance
2Nuclear Magnetic Resonance
3Energy Systems
4Materials Design
5Video Processing
6Signal Processing
7Molecular Biophysics
8Magnetic Resonance Imaging
9Clinical Diagnosis
10Quantitative Finance
New Ideas
Unsolved Problems
Improving the Rate of Noise Reduction to N/2
Signal averaging is widely used method to reduce noise. However, it reduces the noise via sqrt of the number of scans (N), which is slow by many standards. Can there be a method that can reduce it by a linear rate, say N/2. There needs to be a mathematical framework that accomplished the goal for various types of random noises. The method can be first tested on integers before applied on the real numbers.
Solving Sudoku via Mathematical Equations
Sudoku is a popular game with the ability to improve brain efficiency. While everyone has there own strategy, it is possible for to solve Sudoku problems via mathemational equations. The rules for the game is well defined and hence can be converted into a set of equations. The question is how to solve it via linear algebra.
Prime Numbers and Number Systems
It is well known that the prime numbers are only divisible by themselves and one. The questions that is known to us (the lab members) if it is also true is the number system is changed. For example, a prime number will function as it is in a number system (base 3 to 10), but if we convert a prime number from base 10 (say 7) to base 4, will it retain as a prime number. More importantly, if possible, is this property universal, i.e. for all prime number at all number systems.
Simultaneous Image Compression of Multiple Images
Digital images are now pervasive and the most important activtity involved with is sharing via app, such as WhatsApp and WeChat. One may have noticed the poor quality or the reduced image size. Sharing images cost bandwidth and so does storing them. Can one have an compression allgorithm that compress all the image at once, without compressing them individually, in a lossless manner. For that, one would need a entropy conserving binarization algorithm which can convert decimal number system into binary format without reauiring additional storage space. The mathematical proof of such algorithm needs to be carried out first.