This paper analyzes the spectral power properties of various time hopping UWB signals and shows that the power spectral densities of the various signals could have to be determined by the PSD of the pulse used in the signal. The pulse design method by which the FCC emission mask can be utilized fully is proposed. The method combines the arbitrary derivative Gaussian pulse linearly. The coefficients of the linear combination are calculated by the LSE(Least Square Error) method. Various parameters such as the number of coefficients and the types of the basic pulses are considered when calculating the PSD and pulse shapes of the new pulses.