1. Waveform Design for Active Sensing Systems Chapters 1-2 Uppsala University Department of Information Technology Uppsala University Department of Information Technology Mojtaba Soltanalian May 2012 1

2. Introduction>Applications CDMA Communications Active sensing (Radar, Sonar, etc.) Images are taken from [http://www.pangolinsms.com/tech03-types-of-mobile-phones.htm]- visited 2011-09-18, and [http://tech-software.net/radar]-visited 2011-09-18, respectively. 2

3. Introduction>Applications Channel estimation Synchronization Data hiding, ultra-wideband (UWB) communications, synthesis of orthogonal matrices for source coding and complementary coding,... Images are taken from [http://www.microwave-eetimes.com/en/solving-qos-headaches-in-fixed-broadband-wireless.html]- visited 2011-09-18, and [http://www.electronicspecifier.com/Industry-News/Semtech-and-Rakon-to--Develop-IEEE-1588-V2-Timing-Solutions-for-High-Speed-Wireless-Wired- Networks.asp]-visited 2011-09-19, respectively. 3

4. Introduction Periodic/Aperiodic Autocorrleation Relationship: 4

5. Introduction Why computational design? Metrics: 5

6. Introduction>Existing waveforms Chirp signal: 6

7. Introduction>Existing waveforms Root-of-unity codes: 7

8. Introduction>Existing waveforms Root-of-unity codes: are rare! Mow’s Conjecture: the only possible lengths for root-of-unity codes with M-ary alphabet are M and M. 2 8

9. Introduction>Existing waveforms Barker codes 9

10. Introduction Unimodular sequences have optimal (i.e. unity) peak-to-average ratio (PAR): 10

11. Sing. Ape. Seq. Des. 11

12. Sing. Ape. Seq. Des. 12

13. Sing. Ape. Seq. Des. Important step: Discussion. 13

14. Sing. Ape. Seq. Des. 14

15. Sing. Ape. Seq. Des. Cyclic minimization: 15

16. Sing. Ape. Seq. Des. 16

17. Sing. Ape. Seq. Des. 17

18. Sing. Ape. Seq. Des. 18

19. Sing. Ape. Seq. Des. 19

20. Sing. Ape. Seq. Des. 20

21. Numerical Examples 21

22. Numerical Examples 22

23. Numerical Examples Quantized CAN: 23

24. Discussions. 24