Compressive　sensing　has　been　successfully　applied　in　digital　holography　(DH),　which　formulated　holography　as　a　compressive　sensing　problem,　thus　the　reconstruction　of　hologram　is　inverted　as　the　decompress　and　solving　the　minimization　problem.　The　original　information　can　be　reconstructed　accurately　when　the　reconstruction　conditions　are　guaranteed　in　different　physical　scheme　and　optical　recording　set-up.　In　this　paper,　the　reconstruction　conditions　are　investigated　both　theoretically　and　experimentally　in　near-field　Fresnel　propagation　regime.　The　effect　of　recording　distance　on　the　physical　properties　of　Fresnel　wave　propagation　is　demonstrated,　and　then　show　their　effect　on　reconstructed　image　quality.