학술논문

Spectrally Efficient UWB Pulse Shaping Based on Polynomially Weighted Gaussian Pulses With Maximally Flat Amplitude Spectra
Document Type
Periodical
Source
IEEE Communications Letters IEEE Commun. Lett. Communications Letters, IEEE. 27(7):1869-1873 Jul, 2023
Subject
Communication, Networking and Broadcast Technologies
Pulse shaping methods
Spectral efficiency
Transforms
Finite impulse response filters
Bandwidth
Electronic mail
Differential equations
Gaussian
maximally flat
optimum waveforms
pulse shaping
spectral efficiency
ultra-wideband (UWB)
Language
ISSN
1089-7798
1558-2558
2373-7891
Abstract
This letter presents a new class of symmetric waveforms that is suitable for spectrally efficient ultra-wideband (UWB) pulse shaping. The waveforms are based on polynomially weighted Gaussian, where polynomials are constructed by imposing maximum flatness at the peak of the pulse’s amplitude spectrum. To perform pulse shaping, frequency shift and bandwidth scaling are applied. The proposed approach is illustrated with the design of UWB pulses that fill the FCC masks and provide high spectral efficiency. Compared to other Gaussian-based UWB waveforms, the proposed pulses have significantly higher spectral efficiency and slightly lower energy concentration.