Improved HISS technique for multidimensional harmonic retrieval problems

This paper presents an accurate and efficient algorithm for multidimensional harmonic retrieval (MHR) problems. The new algorithm improves the previously addressed hierarchical signal separation (HISS) technique by using more robust constrained filtering instead of the projection matrices in the signal separation process. Thereby, the new algorithm not only requires lower complexity, but it can provide even superior performance, especially in low signal-to-noise ratio (SNR) scenarios. Moreover, the pairing of the estimated parameters is automatically achieved without extra overhead. While the new algorithm, as HISS, calls for low complexity as only one-dimensional (1-D) parameters are estimated in each stage, it, as shown in the simulations, provides competing performance compared with the main state-of-the-art works.