%0 Journal Article %A HUANG Ni %A ZENG Yi-cheng %T Design of optimal UWB pulse shapes based on modified Hermite functions %D 2008 %R 10.3778/j.issn.1002-8331.2008.22.026 %J Computer Engineering and Applications %P 87-88 %V 44 %N 22 %X Considering the various combinations of derivative for modified Hermite functions to get the optimal waveform,the relation between the normalized energy of the n-th derivative of the modified Hermite functions and the pulse shape parameter α as well as the order n of differentiation is studied.A novel method to design ultra-wideband(UWB) pulse is proposed in terms of the spectral mask standard that is set up by Federal Communications Commission(FCC).The optimal waveform is gotten by the linear combination of the N modified Hermite functions.The simulation results indicate that the pulse obtained from this method can approach the spectral mask standard accurately,which makes the transmission power bigger under the condition of FCC. %U http://cea.ceaj.org/EN/10.3778/j.issn.1002-8331.2008.22.026