A Novel Approach to Improve the Frequency Resolution Based on Sparse Representation

How to improve the frequency resolution, especially in the low frequency bands, is an important problem for many applications. A novel approach based on sparse representation was proposed for this problem. In this work, we first discussed the design of the over-completed dictionary with the high frequency resolution, and then Matching Pursuit was advised to perform sparse decomposition using Matching Pursuit Tool Kit. Next, the frequency information was extracted from the code book of the results of Matching Pursuit. Finally, the experiments demonstrated the improvement of the frequency resolution for the proposed approach.