Scaling functions and the optimum Nyquist-type signaling waveform in digital communications
Mingyu Liu, Frederick W. Fairman, Christopher J. Zarowski · 2002
In this paper we investigate the relation between the bandwidth and the energy ratio for sampled Daubechies (1992) scaling functions in digital communications. The energy ratio is defined as the energy in a specified band to the total energy. These characteristics are used to compare Daubechies scaling functions with Nyquist-type pulses having maximum energy ratio. It is shown that the sampled Daubechies scaling functions have energy ratio which are very close to optimum Nyquist-type pulses.