Extending ESPRIT algorithm by using virtual array and Moore-Penrose general inverse techniques

High-resolution signal parameter estimation is frequently studied in many signal processing applications. In this paper, we present a new high-resolution direction and frequency simultaneous estimation algorithm, which extends the ESPRIT algorithm by using the Moore-Penrose general inverse and virtual array techniques. By using this new algorithm, the parameter pair (θ_i,f_i) of each source can be easily obtained and automatically combined from the eigenvectors and eigenvalues. The proposed approach is simple and direct, and does not require a search procedure. It can even work well with only two sensors, no matter how many sources it is detecting. Computer simulation results are also presented to demonstrate the performance of the proposed approach