According to the structure of 1/f noise,our work is based on compressed sensing and we take the wavelet tree structure as its factor of sparse decomposition to extract white noise and make estimation of 1/f noise parameter.We use the matching pursuit denoising(MPDN) method,set the wavelet base as the sparse base of compressed sensing and use Gaussian matrix as the reconstruction matrix.Our scheme can successfully estimate 1/f noise mixed with white noise and is more precise than the wavelet denoising method.The key parameter γ and the position of inflection point which we estimate can make preparations for the research of LDs reliability.