Is this project an undergraduate, graduate, or faculty project?
Faculty
group
What campus are you from?
Daytona Beach
Authors' Class Standing
Levi Lingsch, Senior
Lead Presenter's Name
Levi Lingsch
Faculty Mentor Name
Sirani M. Perera
Abstract
The process of digitization - the conversion of analog information into a discrete signal - is essential to the function of millions of devices, from cell phones to particle accelerators. This is what allows computers to understand and process the physical world. While short signals are easily processed, longer signals can require an exponentially growing amount of computational operations. For this reason, it is necessary to develop fast algorithms which can efficiently digitize large signals. Such algorithms will allow for the production of less expensive yet more powerful computer circuitry that will open up stronger channels for communication and scientific discovery.
In this presentation, we will observe a hybrid of discrete transform matrices and its sparse factorization to derive a fast algorithm. Next, the language of signal flow graphs will be utilized to connect the algebraic operations associated with the proposed algorithm to realize the system as an integrated circuit. Moving forward, the proposed algorithm will be utilized to reduce the chip area and power consumption of analog to digital converter channels.
Did this research project receive funding support from the Office of Undergraduate Research.
Yes, Spark Grant
A Fast Hybrid Transform Algorithm for Beam Digitization
The process of digitization - the conversion of analog information into a discrete signal - is essential to the function of millions of devices, from cell phones to particle accelerators. This is what allows computers to understand and process the physical world. While short signals are easily processed, longer signals can require an exponentially growing amount of computational operations. For this reason, it is necessary to develop fast algorithms which can efficiently digitize large signals. Such algorithms will allow for the production of less expensive yet more powerful computer circuitry that will open up stronger channels for communication and scientific discovery.
In this presentation, we will observe a hybrid of discrete transform matrices and its sparse factorization to derive a fast algorithm. Next, the language of signal flow graphs will be utilized to connect the algebraic operations associated with the proposed algorithm to realize the system as an integrated circuit. Moving forward, the proposed algorithm will be utilized to reduce the chip area and power consumption of analog to digital converter channels.