Abstract

The problem of jointly estimating time difference of arrival (TDOA) and frequency difference of arrival (FDOA) or Doppler has a variety of practical applications. The conventional cyclic ambiguity function and the fractional lower-order ambiguity function suffer performance degradation in the presence of non-Gaussian α-stable impulsive noise and corruptive interference. To overcome these drawbacks, a new robust signal-selective algorithm for cyclostationary signals based on the fractional lower-order cyclostationarity is proposed. The new method makes use of cyclostationarity features and fractional lower-order statistics, and is highly tolerant to interference and robust to both Gaussian noise and non-Gaussian α-stable impulsive noise. The robustness and effectiveness of the proposed method in the presence of impulsive noise and interference are demonstrated by comparing it with the cyclostationarity-based and fractional lower-order statistics (FLOS)-based methods.

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