Estimation of communication-delays through adaptive synchronization of chaos

Abstract

This paper deals with adaptive synchronization of chaos in the presence of time-varying communication-delays. We consider two bidirectionally coupled systems that seek to synchronize through a signal that each system sends to the other one and is transmitted with an unknown time-varying delay. We show that an appropriate adaptive strategy can be devised that is successful in dynamically identifying the time-varying delay and in synchronizing the two systems. The performance of our strategy with respect to the choice of the initial conditions and the presence of noise in the communication channels is tested by using numerical simulations. Another advantage of our approach is that in addition to estimating the communication-delay, the adaptive strategy could be used to simultaneously identify other parameters, such as, e.g., the unknown time-varying amplitude of the received signal

Chaos Based Frequency Modulation for Joint Monostatic and Bistatic Radar-Communication Systems

“…Furthermore, due to the geometry limitations of bistatic radars, unique signal processing methods are required to obtain high-resolution imagery of targets. Instead, chaotic oscillators offer a cost-effective way of synchronizing bistatic radar receivers [57,58], as well as generating high-resolution radar imagery [59]. To synchronize and detect the target, we consider two antennas at the receiver.…”

Steady-State Sine Cosine Genetic Algorithm Based Chaotic Search for Nonlinear Programming and Engineering Applications

“…Recently, the mathematics of chaos theory has been used to improve various optimization methods. So, most researchers incorporate chaotic maps with the optimization techniques in order to get the global solutions of complex problems [53][54][55] and accelerate the convergence to the optimal solution such as adaptive firefly algorithm with chaos [56], Chaosenhanced cuckoo search optimization algorithm [57], chaos game optimization [58], chaos grasshopper optimization algorithm [59], chaotic fruit fly optimization algorithm [60] and chaos-enhanced bat algorithm [61].…”

Synchronisation of bistatic radar using chaotic AM and chaos‐based FM waveforms

“…The self‐synchronisation capability of chaos was further used for secure communications [16, 17]. Sorrentino and DeLellis [18] mentioned about chaotic system synchronisation for a bistatic radar system, thereby avoiding the use of crystal oscillators. Carroll [19] used an inexpensive chaotic circuit for self‐synchronisation of the bistatic radar transmitter and receiver to obtain Doppler information of the targets.…”

“…However, in the above‐mentioned works [12–19], the researchers performed synchronisation assuming the exact replica of the transmitted waveform. In the case of amplitude modulated (AM) bistatic radar, the driving variable is a scaled version of the transmitted waveform where a scaling factor ( α ) is incorporated to account for space propagation and system losses.…”