This chapter focuses on the computational complexity of the front-end of the surface moving-target indication (SMTI) radar application. SMTI radars can require over one trillion operations per second of computation for wideband systems. The adaptive beamforming performed in SMTI radars is one of the major computational complexity drivers. The goal of the SMTI radar is to process the received signals to detect targets while rejecting clutter returns and noise. The radar must also mitigate interference from unintentional sources such as RF systems transmitting in the same band and from jammers that may be intentionally trying to mask targets. The pulse compression stage filters the data to concentrate the signal energy of a relatively long transmitted radar pulse into a short pulse response. The relative range rate between the radar and the ground along the line of sight of the sidelobe may be the same as range rate of the target detected in the mainbeam.