The Impact Mechanism of Fractal Noise on PN Code Detection System

• Published in: Fluctuation and noise letters Vol. 13; no. 2; pp. 1450017 - 1-1450017-17
• Main Authors: Xiong, Gang, Zhang, Shu-Ning, Zhao, Hui-Chang
• Format: Journal Article
• Language: English
• Published: Singapore World Scientific Publishing Company 01.06.2014; World Scientific Publishing Co. Pte., Ltd
• Subjects: Cascades; Clutter; Computer simulation; Correlation analysis; Correlation detection; Cross correlation; Filtering; Filtration; Fractal analysis; Fractal models; Fractals; Impact analysis; Mathematical models; Multiscale analysis; Noise; Signal mixing; Wavelet analysis; White noise; radar; Pseudo-random phase modulation; fractal noise; sea clutter; correlation detection
• ISSN: 0219-4775; 1793-6780
• DOI: 10.1142/S0219477514500175

Taking the pseudo-random phase modulated CW radar for example, this paper studies the impact mechanism of a class of non-stationary fractal noise on PN code detection system, especially signal mixing and matching filter. The cross correlation function, power spectrum function and average power of pseudo-random signal and fractal noise are deduced, compared with the impact of white noise on the pseudo code detection system. We analyze the impact mechanism of three kinds of sea clutter model, namely fractal Brownian model (FBM), the multifractal (MF) model and the non-stationary random fractal model (e.g., infinitely divisible cascades, IDC), on the pseudo-random code detection system, and demonstrate the reason why the multi-scale filtering method in wavelet domain and the MF methods fail to eliminate the effect of sea clutter. Based on the natural sea clutter data, we simulate and analyze the influence of white noise and fractal noise comparatively on detection system, which indicates that the effect of fractal noise cannot be inhibited effectively by the traditional correlation detection and MF analysis, and finally we put forward possible solutions.