In this Ph. D. thesis is presented the design and implementation of integer-pel and fractional-pel motion estimation VLSI architectures, for the motion-compensation prediction stage of the H.264/AVC video-coding standard. The proposed architectures are pipeline-parallel processing structures with high data-path efficiency and optimal memory management. They make use of the full-search block-matching algorithm to fulfil the standard requirements like variable block size and quarter-pel resolution with maximum quality. The motion estimators blend the state-of-the-art architectures characteristics with new hardware schemes and algorithms for the luma video component coding process. The considered architectures were designed as hardware acceleration co-processors for 32-bit processors. They have been simulated and synthesized for Virtex-4 Xilinx FPGA using VHDL hardware description language.