非正弦波通信时域正交椭圆球面波脉冲设计方法

Designing Method of Orthogonal Pulse in Time Domain Based on Prolate Spheroidal Wave Functions for Nonsinusoidal Wave Communication

针对非正弦波信号的频带传输问题,同时为了有效提高非正弦波通信系统的频带利用率及功率利用率,提出了时域正交椭圆球面波脉冲集设计方法。通过参数设置、频段划分、求解方程、Schmidt正交化等步骤设计时域正交椭圆球面波脉冲集,调整脉冲参数实现脉冲集信号的频谱搬移与频谱控制,脉冲集信号为频谱特性可控的带限信号。仿真结果表明:时域正交椭圆球面波脉冲集具有较好的能量聚集性,利用该脉冲集实现多路信息并行传输时,在保证系统具有较好的功率利用率前提下,系统的频带利用率可快速接近奈奎斯特速率。

For the issue of transmitting nonsinusoidal signal in radio frequency and improving the energy efficiency and bandwidth efficiency in nonsinusoidal communication systems, designing method of orthogonal pulse set in time domain based on Prolate Spheroidal Wave Functions （PSWF） is proposed. The pulse set is constructed by parameters setting, frequency dividing, equation solving and Schmidt orthogonalization. The frequency spectra shifting and characteristics of the pulses set are controlled by changing pulses parameters. The pulses set is bandlimited signal with controllable frequency spectra. Simulation results show that the pulses set is with good energy concentration which is important for improving the energy efficiency of nonsinusoidal communication system, and the bandwidth efficiency can be rapidly closed to the Nyquist rate.