A generalization of raised cosine signals

A new family of generalized raised cosine (RC) pulses with good spectral properties defined on the time interval [-T/2, T/2] is proposed and a thorough analysis of its spectral properties is performed. The expressions of Fourier transforms of the component signals are deduced in a closed form. So, exact analytical formulae for the power spectral densities (p.s.d.) of these signals can be derived. Also the normalizing constants, the bandwidth of the transmission and the out-of-band power are calculated for an imposed attenuation. These pulses are of interest in digital communications and in particular in wireless transmissions, as the intercarrier interference is diminished.