Method of determining number of wideband signals based on Bootstrap technique

Traditional methods for determining number of signals usually need a lot of snapshots, or their performance will decrease seriously. In order to solve the problem, a method based on Bootstrap technique is proposed, the Discrete Fourier Transform is applied to divided the wideband signals into several nonoverlapping narrowband components, estimate the direction of an arbitrary signal, carry out eigen-decomposition of the covariance matrix and weight the eigenvectors by corresponding eigenvalues, subsequently employ the Bootstrap technique to determine the number of signals of every frequency, integrate them to get the final result. The method is effective in the background of Gaussian white and non-Gaussian noise. Computer simulations prove the performance of the proposed method is better than the information theory criterion.