1. A method for decoding video data by a video decoder, the method including: receiving, by the video decoder, at least one measurement of a set of measurements that was generated at an encoder by applying compressive sampling, the set of measurements representing encoded video data; determining, by the video decoder, a display resolution, the display resolution being same or different than an original display resolution; determining, by the video decoder, an expansion matrix based on at least a number of pixels for the determined display resolution; reconstructing, by the video decoder, the video data using the at least one received measurement and the determined expansion matrix such that a display resolution is resized from the original display resolution to the determined display resolution if the determined display resolution is different than the original display resolution; and obtaining, by the video decoder, a measurement matrix that was applied to the video data at the encoder, the measurement matrix including an assigned pattern of pixel values.