In this thesis, I describe the modulation schemes which are necessary to implement high-speed digital data transmission. The requirements of the available transmission rate in satellite communications are increasing. In modern Earth observation satellites more than 1 Gbit/s transmission rate is needed. I describe the pulse-shaping and interpolating filters that perform the baseband filtering of the signals. I show the steps of implementing a Square-Root Raised Cosine filter in a FPGA device using special filter structures so the filter can be operated within the present limits of FPGA technology. Then I tested the filter and evaluated the results, comparing the output with a simulation of an ideal implementation. At the end of the thesis, I described a possible realization of a Farrow-interpolator filter, which can be connected to the other parts of the modulator. Together, the Square-Root Raised Cosine and Farrow-interpolator filters are able to implement the baseband filtering needed in Adaptive Coding and Modulation.