Compressive sensing is a mathematical framework, which seeks to capture the information of an object using as few measurements as possible. Recently, it has been applied to holography, where the most frequently used reconstruction method is l1-norm minimization with the Haar wavelet as the sparsifying operator. In this work, we promote the CDF 9/7 wavelet as the sparsifying operator. We demonstrate that the CDF 9/7 wavelet performs better than the Haar wavelet.