An Approach of Weak Frequency Determined Signal Extracting Based on Null Space Pursuit

In order to realize the effective extraction of determined frequency signal under the strong noise environment, we propose a weak signal extraction method based on null space pursuit(NSP) and determined frequency signal constraint. The proposed approach inherits the excellent properties of NSP algorithm, by incorporating the determined frequency as prior information constraint, can extract the amplitude and phase of the weak signal effectively. The simulated experimental results show that, for the weak signal extraction, the proposed approach can improve signal to noise ratio (SNR) up to 30dB and especially suitable for low SNR environment extraction (i.e. SNR below -5dB). In addition to the traditional methods, this approach provides an alternative way for the weak signal extraction or detection. © 2021, Chinese Institute of Electronics. All right reserved.