Wavelet Packet Modulation (WPM) was proposed as one of the multicarrier transmission methods like OFDM. Since it is a multicarrier transmission method, however, it has a high peak to averaged power ratio (PAPR). For improving PAPR of OFDM, the Single Carrier OFDM (SC-OFDM) method was proposed and it is expected that the principle of SC-OFDM can be used in WPM. In this paper, we consider applying the WPM to satellite communications. The BER performance of WPM and OFDM in a fading channel is compared, and it is shown that the performance of WPM is better than OFDM. Then, we propose the Single Carrier WPM (SC-WPM) method that applies the principle of SC-OFDM to WPM to remedy the PAPR, and show that the performance is improved substantially.