Title :
The modified Gaussian: a novel wavelet with low sidelobes with applications to digital communications
Author :
Dovis, F. ; Mondin, M. ; Daneshgaran, F.
Author_Institution :
Dipt. di Elettronica, Politecnico di Torino, Italy
Abstract :
We present a wavelet with very low sidelobes whose spectral occupancy in the frequency domain is controlled by a parameter that can assume any positive real value. The associated scaling function is derived from the Gaussian waveform. Due to its good spectral characteristics, this function is well suited as an elementary shaping pulse for digital modulation.
Keywords :
Gaussian processes; digital communication; frequency-domain analysis; modulation; signal resolution; spectral analysis; wavelet transforms; Gaussian waveform; digital communications; digital modulation; dyadic scaling functions; frequency domain; low sidelobes; modified Gaussian; multiresolution analysis; positive real value; scaling function; shaping pulse; spectral characteristics; spectral occupancy; wavelet; Bandwidth; Communication system control; Digital communication; Equations; Frequency domain analysis; Multiresolution analysis; Pulse modulation; Pulse shaping methods; Wavelet analysis; Wavelet domain;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/4234.709433
