Abstract
The assumption of independent and identically distributed noise is often used in basic research, but the correlation between two additive noises cannot be ignored. Based on the characteristic of noncircular signal, the conjugate ambiguity function effectively suppresses correlated Gaussian noise, making it widely applied in signal processing scenarios involving correlated Gaussian noise. However, its performance is severely reduced when non-Gaussian impulsive noise contaminates signal sources. To handle this issue, inspired by the recently developed nonlinear preprocessing method, a new concept called inverse tangent conjugate ambiguity function, which can retain the key information of the signal from being damaged and effectively inhibit the influence of correlated impulsive noise, is defined. Then, the inverse tangent cyclic conjugate ambiguity function is further defined using the cyclostationary property, which can resist both the influence of correlated impulsive noise and co-channel interference. Employing these defined functions, we develop two novel joint time delay of arrival and frequency delay of arrival estimation algorithms. The results of Monte Carlo experiments using different impulsive noise models demonstrate that the performance of the proposed algorithms is better than their competitors, especially under the environment of correlated strong impulsive noise.
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This work was supported in part by the National Natural Science Foundation of China under Grant (61971083), and in part by the fundamental research funds for the central university under Grants (3132019341). This work was supported in part by the National Natural Science Foundation of China under Grant,and in part by the fundamental research funds for the central university under Grants,61971083 and 3132019341,61971083 and 3132019341,61971083 and 3132019341,61971083 and 3132019341
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S.L. and Y.D. contributed to the research idea, methods, and simulations and drafted the manuscript. O.M. and Y.D. further examined the manuscript. All authors reviewed the final manuscript.
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Dou, Y., Abdelrhman, O.M., Ding, Y. et al. Robust conjugate ambiguity functions and application for strictly noncircular signals in correlated impulsive noise. SIViP 18, 2355–2365 (2024). https://doi.org/10.1007/s11760-023-02912-5
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DOI: https://doi.org/10.1007/s11760-023-02912-5