Abstract
Finite impulse response (FIR) graph filters play a crucial role in the field of signal processing on graphs. However, when the graph signal is time-varying, the state of the art FIR graph filters do not capture the time variations of the input signal. In this work, we propose an extension of FIR graph filters to capture also the signal variations over time. By considering also the past values of the graph signal, the proposed FIR graph filter extends naturally to a 2-dimensional filter, capturing jointly the signal variations over the graph and time. As a particular case of interest we focus on 2-dimensional separable graph-temporal filters, which can be implemented in a distributed fashion at the price of higher communication costs. This allows us to give filter specifications and perform the design independently in the graph and temporal domain. The work is concluded by analyzing the proposed approach for stochastic graph signals, where the first and second order moments of the output signal are characterized.
| Original language | English |
|---|---|
| Title of host publication | 2016 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2016 - Proceedings |
| Place of Publication | Piscataway, NJ |
| Publisher | IEEE |
| Pages | 405-409 |
| Number of pages | 5 |
| ISBN (Electronic) | 978-1-5090-4545-7 |
| DOIs | |
| Publication status | Published - Dec 2016 |
| Event | GlobalSIP 2016: 2016 IEEE Global Conference on Signal and Information Processing - Washington, DC, United States Duration: 7 Dec 2016 → 9 Dec 2016 http://2016.ieeeglobalsip.org/ |
Conference
| Conference | GlobalSIP 2016 |
|---|---|
| Abbreviated title | GlobalSIP |
| Country/Territory | United States |
| City | Washington, DC |
| Period | 7/12/16 → 9/12/16 |
| Internet address |
Keywords
- Finite impulse response filters
- Two dimensional displays
- Frequency response
- Transfer functions
- Frequency-domain analysis
- Laplace equations