Compressive sensing is new era and emerging platform for data acquisition and signal processing. Magical statement of Compressive sensing tells that one can recover certain signal or images from far fewer samples than traditionally required. Compressive Sensing finds application in signal processing field like Image fusion,image restoration, image representation, DCT images ,image surveillance , super resolution etc. On encoding side it require two property of a signal that are sparsity and incoherence.First, any signal is converted into particular transform i.e wavelet or DCT , with help of sensing matrix it extracts required coefficients which has less dimensional than image dimensions and hence we can get resultant matrix. which is also called measurements which are non-adaptive. On decoding side due to low dimension of transmitted vector matrix it require convex optimization to solve this problem apart from this greedy algorithms and basis persuit are also helpful. Magic or surprise is that convex optimization (L1 minimization) provide solution to undetermined linear systems without knowing nature of undergoing parameters through the systems.