Abstract
In this paper, a new radar signal modulated with a hybrid of the frequency shift keying (FSK) and the phase shift keying (PSK) signal—i.e., the FSK-PSK signal—is studied. Different phase encoding sequences are used to modulate the sub-pulses to obtain lower sidelobe levels and ensure signal orthogonality. In addition, to counter intra-pulse slice repeater jamming of specific length generated by the enemy jammer, an orthogonal waveform made of sub-pulses of equal length based on the FSK-PSK modulation scheme is designed. The simulation results show that the optimized discrete phase encoding sequence can significantly enhance the orthogonality of the sub-pulse in the FSK-PSK signal and effectively suppress the slice repeater jamming. Two algorithms are proposed: (1) the low sidelobe waveform optimization algorithm based on ADMM (LSW-ADMM); and (2) the anti-slice-repeater-jamming algorithm based on ADMM (ASRJ-ADMM). Both algorithms exhibit fast convergence speed and low computational complexity.
Highlights
In modern radar systems, the characteristics of radar waveform contributes greatly to various radar performance metrics, such as the detection probability, the resolution, the measurement accuracy, the probability of intercept, and anti-jamming capabilities
The frequency shift keying (FSK)-phase shift keying (PSK) signal optimized with the low sidelobe waveform (LSW)-ADMM algorithm exhibits lower autocorrelation function (AF) sidelobes, which in turn contributes to better detection performance
The second example shows that, compared with the conventional FSK-PSK signal modulated with the classic coding sequence, the FSK-PSK signal optimized with the ASRJ-ADMM algorithm possesses better anti-jamming capability due to a higher-order of randomness of the radar signal
Summary
The characteristics of radar waveform contributes greatly to various radar performance metrics, such as the detection probability, the resolution, the measurement accuracy, the probability of intercept, and anti-jamming capabilities. The phased coded sequences set could be optimized for high peak-to-sidelobe level (PSL) and good quadrature performance [2,3] Both phase shift keying (PSK) and frequency shift keying (FSK) are commonly used radar modulation schemes. S. Zhong [25] et al designed an intra-pulse quadrature phase-encoded signal, and proposed a genetic algorithm based on the DNA coding to achieve low autocorrelation sidelobes and cross-correlations. To achieve low sidelobes and near-orthogonality, we propose a new FSK-PSK signal, which uses different phase-coding sequences to modulate each sub-pulse. Each sub-pulse of the FSK-PSK signal, which is coded with a distinctive set of phases, performs frequency hopping according to the optimized sequence. By ensuring the orthogonality of the sub-pulses of the FSK-PSK signal, the intra-pulse slice repeater jamming is effectively suppressed Both optimization algorithms demonstrate fast convergence speed and low computational load.
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