SIGNAL (programming language)

Control (management)

Chaotic

Chaotic systems

Waveform

Telecommunications

Computer science

Acoustics

Statistical physics

Sonar

Physics

Radar systems

Image (mathematics)

Lyapunov exponent

Synchronization (alternating current)

Artificial intelligence

Programming language

Channel (broadcasting)

Control theory (sociology)

Radar

Noise (video)

Communications in Nonlinear Science and Numerical Simulation

Although the Very Low-Frequency (VLF) waveforms have limited practical applications in acoustics (sonar) and secure military communications with radars and submarines; to this end; this paper presents a new and simple analytical model of VLF monostatic direct chaotic radar system. The model hypothetically depends on the two identical coupled time-delayed feedback chaotic systems which can generate and recover a long-wave chaotic signal. To resist the influence of positive Lyapunov exponents of the time-delay chaotic systems, the complete replacement of Pecaro and Carroll (PC) synchronization is employed. It can faithfully recover the chaotic signal from the back-scattered (echo) signal from the target over a noisy channel. The system performance is characterized in terms of the time series of synchronization in addition to the peak of the cross-correlation. Simulation results are conducted for substantial sensitivities of the chaotic signal to the system parameters and initial conditions. As a result, it is found that an effective and robust chaotic radar (CRADAR) model can be obtained when the signal-to-noise ratio (SNR) highly degrades to 0 dB, but with clear peak in correlation performance for detecting the target. Then, the model can be considered as a state of the art towards counter stealth technology and might be developed for other acoustic secure applications.

Modelling of long-wave chaotic radar system for anti-stealth applications