Abstract
We investigate spectrally-constrained sequences (SCSs), which are applicable to the communication and radar systems operating over non-contiguous carriers or frequency slots. Typical examples of such systems are overlay cognitive radio or cognitive radar networks. First, we derive the periodic- and aperiodic-correlation lower bounds for single-channel SCSs and multi-channel SCSs by convex optimization in the frequency domain. Each of these bounds reduces to a Welch bound when the number of forbidden carriers is set to zero. We then propose systematic constructions of optimal unimodular single-channel SCSs with the aid of cyclic difference sets and the theory of maximal-length shift register sequences.
| Original language | English |
|---|---|
| Pages (from-to) | 2571-2582 |
| Number of pages | 12 |
| Journal | IEEE Transactions on Information Theory |
| Volume | 64 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Apr 2018 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2018 IEEE.
ASJC Scopus Subject Areas
- Information Systems
- Computer Science Applications
- Library and Information Sciences
Keywords
- carrier aggregation
- cognitive radar
- cognitive radio
- complementary sequence set
- cyclic difference set
- maximal-length shift register sequences
- Spectrally-constrained sequences (SCS)