Weak harmonic signal detection method from strong chaotic interference based on convex optimization
Autor: | Jun Li, Yaxuan Zhang, Jinfeng Hu, Wei Xia, Huiyong Li, Miao Yang |
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Rok vydání: | 2016 |
Předmět: |
Applied Mathematics
Mechanical Engineering Aerospace Engineering Ocean Engineering Filter (signal processing) Topology 01 natural sciences Signal symbols.namesake Additive white Gaussian noise Interference (communication) Control and Systems Engineering Control theory Frequency domain 0103 physical sciences Convex optimization Harmonic symbols Detection theory Electrical and Electronic Engineering 010306 general physics 010301 acoustics Computer Science::Information Theory Mathematics |
Zdroj: | Nonlinear Dynamics. 84:1469-1477 |
ISSN: | 1573-269X 0924-090X |
Popis: | Noticing that the second-order matrix of chaotic signal is stationary, we propose a method for detecting weak harmonic signal from strong chaotic interference based on convex optimization. After a data matrix in frequency domain is composed by combining reference cells and the detection cell, we detect weak harmonic signals by searching each frequency channel based on an optimization filter. Then, the signal detection problem is boiled down to an optimization problem. Further, we design an optimization filter based on second-order cone programs. The filter can maintain the gain of signal from current frequency channel and suppress signals from other frequency channels. The harmonic signal can be detected by the output signal-to-interference-plus-noise ratio (SINR) of each frequency channel. Compared with the neural network methods, the proposed method has following advantages: (1) It can detect weak harmonic signal under lower SINR and (2) it is robust against white Gaussian noise. |
Databáze: | OpenAIRE |
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