Abstract
A sequence is said to be spectrally-constrained if it has to satisfy a spectral map consisting of several non-contiguous nulled frequency-slots. Such sequences play a key role in emerging spectrally-constrained systems such as cognitive radio and cognitive radar. In this paper, we study two types of spectrally-constrained sequences (SCSs), one with low periodic auto-correlation function (PACF) sidelobe, the other with zero auto-correlation zone (ZACZ). By deriving a correlation lower bound, we show that Type-I SCSs are optimal with minimum total PACF sidelobe energy provided that uniform power allocation is applied to all active (non-nulled) frequency-slots. We also propose optimal Type-II SCSs, each having maximum ZACZ width, for certain spectral map patterns.
| Original language | English |
|---|---|
| Title of host publication | Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 2692-2696 |
| Number of pages | 5 |
| ISBN (Electronic) | 9781467377041 |
| DOIs | |
| Publication status | Published - Sept 28 2015 |
| Externally published | Yes |
| Event | IEEE International Symposium on Information Theory, ISIT 2015 - Hong Kong, Hong Kong Duration: Jun 14 2015 → Jun 19 2015 |
Publication series
| Name | IEEE International Symposium on Information Theory - Proceedings |
|---|---|
| Volume | 2015-June |
| ISSN (Print) | 2157-8095 |
Conference
| Conference | IEEE International Symposium on Information Theory, ISIT 2015 |
|---|---|
| Country/Territory | Hong Kong |
| City | Hong Kong |
| Period | 6/14/15 → 6/19/15 |
Bibliographical note
Publisher Copyright:© 2015 IEEE.
ASJC Scopus Subject Areas
- Theoretical Computer Science
- Information Systems
- Modelling and Simulation
- Applied Mathematics
Keywords
- Cognitive Radar
- Cognitive Radio
- Periodic auto-correlation function (PACF)
- Spectrally-Constrained Sequences (SCS)
- Zero Auto-Correlation Zone (ZACZ)