Super-Resolution Harmonic Retrieval of Non-Circular Signals

Conference paper (2023)

Authors

Yu Zhang Nanjing University of Aeronautics and Astronautics
Yue Wang George Mason University
Zhi Tian George Mason University
G.J.T. Leus Signal Processing Systems - EEMCS
Gong Zhang Nanjing University of Aeronautics and Astronautics
Research Group
Signal Processing Systems (EEMCS) (TU Delft)
Copyright: © 2023 Yu Zhang, Yue Wang, Zhi Tian, G.J.T. Leus, Gong Zhang
DOI
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https://doi.org/10.1109/ICASSP49357.2023.10095946
Low-rank Toeplitz-Hankel covariance reconstruction Harmonic retrieval Non-circularity Augmented covariance
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Published Date

2023

Language

English

Reuse Rights

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Microelectronics

Research Group

Signal Processing Systems

Abstract

This paper proposes a super-resolution harmonic retrieval method for uncorrelated strictly non-circular signals, whose covariance and pseudo-covariance present Toeplitz and Hankel structures, respectively. Accordingly, the augmented covariance matrix constructed by the covariance and pseudo-covariance matrices is not only low rank but also jointly Toeplitz-Hankel structured. To efficiently exploit such a desired structure for high estimation accuracy, we develop a low-rank Toeplitz-Hankel covariance reconstruction (LRTHCR) solution employed over the augmented covariance matrix. Further, we design a fitting error constraint to flexibly implement the LRTHCR algorithm without knowing the noise statistics. In addition, performance analysis is provided for the proposed LRTHCR in practical settings. Simulation results reveal that the LRTHCR outperforms the benchmark methods in terms of lower estimation errors.