Single Channel Source Number Estimation Algorithm Under Colored Gaussian Noise

At present, most source number estimation algorithms are based on multi-channels receive model and have weak performance to restrain colored Gaussian noise. However, single channel model and color noise are common in real life application. So it is of great importance to research single channel source number estimation algorithm under colored Gaussian noise. In view of limitation of algorithm existed, a novel single channel source number estimation algorithm based on construction of time snapshots and fourth-order cumulant matrix is presented. Firstly, time snapshots theory is applied to increase signal dimensions of single channel received signal and vectorization spaces are obtained. Then these sets of spaces are adopted to construct fourth-order cumulant matrix. It is validated theoretically that the proposed fourth-order cumulant matrix can effectively restrain white and colored Gaussian noise. Finally, singular value decomposition (SVD) is applied on this matrix and source number can be estimated by information theoretic criteria. Simulation and real-life experiment results both indicate that the proposed algorithm can be applied to single channel source number estimation and has well performance to restrain colored Gaussian noise.