A fast iterative algorithm of frequency estimation for multisectionsignals with the same length and known frequencydifference
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Abstract:
We proposed a fast iterative algorithm for the multisection signals with the same length and known frequencydifference to increase precision and realtime performance of frequency estimation for multisection stationary signals while extending the applicable ranges of the existing methods. The algorithm includes the following technical features: The parameter matrix for frequencydomain analysis was generated to treat the unequal frequencies of different sections; The phasedifference compensation factor matrix was designed to obtain the frequency spectrum as well as the phasecontinuous signals; The search frequency sequence was generated to amend the unknown parameters in the phasedifference compensation factor matrix while obtaining the frequency spectrum amplitude matrix in a specific form; and, indirect iterative computation was adopted to improve the realtime performance of the algorithm. In addition, five important properties were given and proven to demonstrate the correctness of the algorithm. Simulated experiments were carried out under various complicated application environments. The results show good universality, noise immunity, realtime performance and better frequency estimation precision compared with the existing methods.
