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In this paper, we study the computational complexity of the intra prediction module for video coding software according to H.264/AVC standard. We analyze separately the complexity of each intra mode for the implementation on TMS320C64 platform. The intra prediction unit consists of predicting the block's pixels from their neighbors according to different directional modes (horizontal, vertical, ...) and others non-directional (DC, planar). For each mode, we compute the number of the executional sub-units (add, shift, load, store...). Together with the number of necessary cycles to execute every instruction and the functional units that can perform these instructions, we can deduce the complexity of every intra mode. To estimate the total complexity of the intra prediction process, we assume that the encoder tests all intra modes. The total cycle's account is estimated by multiplying the number of cycles of each mode by the number of blocks in the picture. Our results indicate that our methodology for the complexity analyses of the intra prediction unit of the H.264/AVC provides a good approximation with respect to the experimental results.