A solution to residual noise in speech denoising with sparse representation

As a promising technique, sparse representation has been extensively investigated in signal processing community. Recently, sparse representation is widely used for speech processing in noisy environments; however, many problems need to be solved because of the particularity of speech. One assumption for speech denoising with sparse representation is that the representation of speech over the dictionary is sparse, while that of the noise is dense. Unfortunately, this assumption is not sustained in speech denoising scenario. We find that many noises, e.g., the babble and white noises, are also sparse over the dictionary trained with clean speech, resulting in severe residual noise in sparse enhancement. To solve this problem, we propose a novel residual noise reduction (RNR) method which first finds out the atoms which represents the noise sparely, and then ignores them in the reconstruction of speech. Experimental results show that the proposed method can reduce residual noise substantially.