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In this paper, a two-stage dual tree complex wavelet packet transform(DTCWPT) based speech enhancement algorithm has been proposed, in which aspeech presence probability (SPP) estimator and a generalized minimum meansquared error (MMSE) estimator are developed. To overcome the drawback ofsignal distortions caused by down sampling of WPT, a two-stage analyticdecomposition concatenating undecimated WPT (UWPT) and decimated WPT isemployed. An SPP estimator in the DTCWPT domain is derived based on ageneralized Gamma distribution of speech, and Gaussian noise assumption. Thevalidation results show that the proposed algorithm can obtain enhancedperceptual evaluation of speech quality (PESQ), and segmental signal-to-noiseratio (SegSNR) at low SNR nonstationary noise, compared with other fourstate-of-the-art speech enhancement algorithms, including optimally modifiedLSA (OM-LSA), soft masking using a posteriori SNR uncertainty (SMPO), aposteriori SPP based MMSE estimation (MMSE-SPP), and adaptive Bayesian waveletthresholding (BWT).

Speech Enhancement via Two-Stage Dual Tree Complex Wavelet Packet Transform with a Speech Presence Probability Estimator