On the Pulse Shaping for Delay-Doppler Communications

Li, Shuangyang1; Yuan, Weijie2; Wei, Zhiqiang3; Yuan, Jinhong4; Bai, Baoming5; Caire, Giuseppe1

10.1109/GLOBECOM54140.2023.10437976

2023

IEEE Conference on Global Communications (IEEE GLOBECOM) - Intelligent Communications for Shared Prosperity

2334-0983

2576-6813

IEEE CONFERENCE ON GLOBAL COMMUNICATIONS, GLOBECOM

DEC 04-08, 2023

null,Kuala Lumpur,MALAYSIA

345 E 47TH ST, NEW YORK, NY 10017 USA

IEEE

In this paper, we study the pulse shaping for delay-Doppler (DD) communications. We start with constructing a basis function in the DD domain following the properties of the Zak transform. Particularly, we show that the constructed basis functions are globally quasi-periodic while locally twisted-shifted, and their significance in time and frequency domains are then revealed. We further analyze the ambiguity function of the basis function, and show that fully localized ambiguity function can be achieved by constructing the basis function using periodic signals. More importantly, we prove that time and frequency truncating such basis functions naturally leads to approximate delay and Doppler orthogonalities, if the truncating windows are periodic within the support. Motivated by this, we propose a DD Nyquist pulse shaping scheme considering signals with periodicity. Finally, our conclusions are verified by using various strictly or approximately periodic pulses.

其他

英语

CPCI-S

Engineering ; Telecommunications

Engineering, Electrical & Electronic ; Telecommunications

WOS:001178562005077

Web of Science

1.Tech Univ Berlin, Berlin, Germany
2.Southern Univ Sci & Technol, Shenzhen, Peoples R China
3.Xi An Jiao Tong Univ, Xian, Peoples R China
4.Univ New South Wales, Sydney, NSW, Australia
5.Xidian Univ, Xian, Peoples R China

Li, Shuangyang,Yuan, Weijie,Wei, Zhiqiang,et al. On the Pulse Shaping for Delay-Doppler Communications[C]. 345 E 47TH ST, NEW YORK, NY 10017 USA:IEEE,2023.