Application of Discrete Haar Wavelet Decomposition in Identification of PN Codes in PN Phase Modulated Signal

摘要

Known PN codes bring convince to PN phase modulated signal processing. In order to identify PN codes in PN phase modulated signal, the paper introduces a PN codes identification method based on discrete Haar wavelet decomposition. Firstly mathematical model and Haar wavelet representation of PN phase modulated signal are analyzed. Then the principles of identifying PN codes by discrete Haar wavelet decomposition are deduced and proved by mathematical induction. In the process of reasoning, the paper gives out the effective condition of this method. In the end, computer simulation in severe SNR conditions is carried out, and the results which can be illustrated by some figures snapped in the process of computer simulation testifies the judgment to be right and the method to be effective.