We investigate the design of an interpolation filter of a multi-frequency time division multiple access (MF-TDMA) demodulator which is applied to digital video broadcasting-return channel system via satellite (DVB-RCS). We propose two interpolation filters for symbol timing recovery in a digital receiver where the input analog to digital conversion sampling clock is not synchronized to the transmitter symbol clock. The two proposed interpolation filters are designed by the least mean-square-error at the output of the receiver. Simulation results show that a performance improvement is achieved by employing the proposed interpolation filter.