Sampling using Unsynchronized Time Encoding Machines
Event details
| Date | 28.08.2018 |
| Hour | 09:00 › 11:00 |
| Speaker | Karen Adam |
| Location | |
| Category | Conferences - Seminars |
EDIC candidacy exam
Exam president: Prof. Michael Unser
Thesis advisor: Prof. Martin Vetterli
Co-examiner: Prof. Michael Gastpar
Abstract
Sampling classically involves recording signal amplitudes at specified times, and signal recovery in such sampling schemes, which we call amplitude encoding, has been studied extensively . In this proposal, we investigate an alternate sampling scheme called time encoding, where a signal is only encoded by a sequence of time points which depend on the signal integral over time, and examine the conditions on perfect recovery of the signal given this sequence. We build up the mathematical background required to study this setup, review existing work on time encoding, and then attempt to bridge a relationship with biological neuron behavior to see if time encoding can give insight on topics in biology such as perception. In proposing a direction for future work, we examine the use of multiple unsynchronized time encoding machines and highlight some advantages of this setup over having multiple amplitude encoders in parallel.
Background papers
Theory and Practice of Irregular Sampling (Part I only), by Feichtinger, H.G., Gröchening, K.
Perfect Recovery and Sensitivity Analysis of Time Encoded Bandlimited Signals, by Lazar, A., Tóth, T.
A Review of the Integrate-and-Fire Neuron Model: I. Homogeneous Synaptic Input, by Burkitt, A.N.
Exam president: Prof. Michael Unser
Thesis advisor: Prof. Martin Vetterli
Co-examiner: Prof. Michael Gastpar
Abstract
Sampling classically involves recording signal amplitudes at specified times, and signal recovery in such sampling schemes, which we call amplitude encoding, has been studied extensively . In this proposal, we investigate an alternate sampling scheme called time encoding, where a signal is only encoded by a sequence of time points which depend on the signal integral over time, and examine the conditions on perfect recovery of the signal given this sequence. We build up the mathematical background required to study this setup, review existing work on time encoding, and then attempt to bridge a relationship with biological neuron behavior to see if time encoding can give insight on topics in biology such as perception. In proposing a direction for future work, we examine the use of multiple unsynchronized time encoding machines and highlight some advantages of this setup over having multiple amplitude encoders in parallel.
Background papers
Theory and Practice of Irregular Sampling (Part I only), by Feichtinger, H.G., Gröchening, K.
Perfect Recovery and Sensitivity Analysis of Time Encoded Bandlimited Signals, by Lazar, A., Tóth, T.
A Review of the Integrate-and-Fire Neuron Model: I. Homogeneous Synaptic Input, by Burkitt, A.N.
Practical information
- General public
- Free
Contact
- EDIC - [email protected]