Abstract
To realize the blind estimation of binary phase shift keying (BPSK) signal, this paper describe a new relational expression among the state of Duffing oscillator excited by BPSK signal, the pseudo-random code of BPSK signal, and the difference frequency between the to-be-detect signal and internal drive force signal of Duffing oscillator. Two output characteristics of Duffing oscillators excited by BPSK signals named implied periodicity and pilot frequency array synchronization are presented according to the different chaotic states of Duffing oscillator. Then two blind estimation methods for the carrier frequency and pseudo-random sequence of the BPSK signal are proposed based on these two characteristics, respectively. These methods are shown to have a significant effect on the parameter estimation of BPSK signals with no prior knowledge, even at very low signal-to-noise ratios (SNRs).
Highlights
In modern radar electronic warfare, reconnaissance and anti-reconnaissance efforts, as well as the evaluations of the reconnaissance effect, are of great importance
Output time domain waveform of the Duffing oscillator excited by binary phase shift keying (BPSK)
The dynamic all dynamic amplitudes of Duffing oscillators are set to be close to the critical value, that is, γ amplitudes of all dynamic amplitudes of Duffing oscillators are set to be close to ther critical
Summary
In modern radar electronic warfare, reconnaissance and anti-reconnaissance efforts, as well as the evaluations of the reconnaissance effect, are of great importance. The pseudo-random sequence estimation using the output characteristics of the Duffing oscillator excited by a known carrier frequency signal are studied in [21,22]. These methods are more to be calculated than the usual, but the carrier frequency of the BPSK signal at low SNR is not generally known under non-cooperative conditions. These methods based on Duffing oscillator are limited in some way, but there have been few attempts to estimate both the carrier frequency and pseudo-random code of BPSK signals without prior knowledge using the Duffing oscillator.
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