Iterative Estimator of Instantaneous Frequency of Multiple Linear Frequency Modulation Signals
Pengpeng Yu, Xiangyang Huang, Mingshun Ai
Abstract
Pengpeng Yu, Xiangyang Huang, Mingshun Ai
Abstract
An iterative algorithm is proposed aiming at the problem of instantaneous frequency estimation of multiple linear frequency modulation signals. The algorithm is based on subspace tracking, and the matrix linear transformations as well as polynomial rooting are adopted to gain the parameter estimation. The advantages of the proposed algorithm are as following: lower computational complexity, higher frequency resolution, without cross terms problem in the multiple signals environment. However, since the matrix inverse is adopted, the performance of the novel algorithm will be lost in a low signal-noise-ratio (SNR) environment. Simulation verified that the proposed algorithm possesses obvious superiority when the SNR is not lower than 6dB.
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An iterative algorithm is proposed aiming at the problem of instantaneous frequency estimation of multiple linear frequency modulation signals. The algorithm is based on subspace tracking, and the matrix linear transformations as well as polynomial rooting are adopted to gain the parameter estimation. The advantages of the proposed algorithm are as following: lower computational complexity, higher frequency resolution, without cross terms problem in the multiple signals environment. However, since the matrix inverse is adopted, the performance of the novel algorithm will be lost in a low signal-noise-ratio (SNR) environment. Simulation verified that the proposed algorithm possesses obvious superiority when the SNR is not lower than 6dB.
Key concepts: Algorithm, Estimator, Mathematics, Computational complexity theory, Frequency modulation, Instantaneous phase, Polynomial, Subspace topology