Satellite communication systems constitute a key component of next-generation mobile networks, yet their performance remains constrained by limited bandwidth and power resources. Faster-than-Nyquist (FTN) signaling offers improved spectral efficiency over conventional Nyquist transmission but introduces significant inter-symbol interference (ISI). To address this issue, this paper proposes an ISI cancellation method based on an adaptive filter derived from the Wiener–Hopf equation. System performance is evaluated under different compression factors and roll-off coefficients. Experimental results show that, for BPSK modulation, the BER performance of the FTN system remains within 1 dB of the Nyquist benchmark at a target BER on the order of 10??. These results demonstrate that the proposed technique effectively suppresses FTN-induced ISI and enhances the viability of high-efficiency satellite transmission schemes.