Compressive sensing is a mathematical framework, whichseeks to capture the information of an object using as fewmeasurements as possible. Recently, it has been applied toholography, where the most frequently used reconstructionmethod is l1-norm minimization with the Haar wavelet asthe sparsifying operator. In this work, we promote the CDF9/7 wavelet as the sparsifying operator. We demonstrate thatthe CDF 9/7 wavelet performs better than the Haar wavelet.