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In this paper, we propose a new Distributed Video Coding (DVC) algorithm based on compressive sampling principles. Our encoding algorithm transmits a set of measurements of every frame block. Using these measurements, the decoder finds an approximation of each block as a linear combination of a small number of blocks in previously transmitted frames. Thanks to the simplicity of the encoding, our algorithm can be useful in those video applications that require very low complex encoders. However, our algorithm is less efficient than another state-of-the-art DVC technique.