A Flexible Waveform Based on PSWFs Signal for Next-Generation Communication

The next generation of mobile communication puts forward higher requirements on signal waveform flexibility, and the key to improving signal waveform flexibility is to improve the energy concentration degree and the flexibility and controllability of the time-bandwidth product of signal waveform. Based on this, a novel waveform design scheme based on Prolate Spheroidal Wave Functions (PSWFs) was proposed by introducing the PSWFs with complete orthogonality, optimal band-limited characteristics, and flexible and controllable time-bandwidth product. The scheme allocates the available time-frequency resources according to the system requirements, directly generates PSWFs signals corresponding to the time-frequency resources, and then uses the PSWFs signals as carrier signals for information transmission, which effectively improves the flexibility of time-frequency resource allocation and utilization rate. Numerical analysis results indicate that the proposed scheme has higher time-frequency resource utilization compared to OFDM and FBMC, and can better balance the system bandwidth utilization with out-of-band energy leakage. Moreover, the proposed scheme has higher system bandwidth utilization in short-packet communication scenarios. Meanwhile, thanks to the high energy concentration of PSWFs signals, the proposed scheme can be applied to asynchronous communication.