Analysis of the ambiguity function for an FM signal derived from the Lorenz chaotic flow

Pappu, Chandra S.; Flores, Benjamin C.; Debroux, Patrick S.

doi:10.1117/12.920721

Cited by 6 publications

(8 citation statements)

References 14 publications

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“…They also operate at low frequencies (below 3 MHz), and therefore they suffer from diffraction due to the surface of the earth. Longwave bands in HF band MHz employ Skywave (shortwave), where the short wave depends on the ionosphere [2,[4][5][6][7][8][9]14].…”

Section: Radar Systems and Stealth Counter: Overviewmentioning

confidence: 99%

“…Notably, during the Kosovo war in 1999, for example, the old VHF (also known as low frequency) radar was utilized to shoot down an F-117 Nighthawk by Serb forces [8,9]. Since 2013, several new radars for military and secure communications have been developed, including multitoned harmonic non-linear radar, US Navy Re-Locatable Over-the-Horizon Radar (ROTH), and OTH radar.…”

Section: Radar Systems and Stealth Counter: Overviewmentioning

confidence: 99%

“…However, most conventional radars are basically designed to operate on the microwave frequency band between 300 MHz (1 m) and 300 GHz (1 mm). On the other hand, several chaos radar systems have been designed and implemented for various secure communications [7][8][9][10]; they may employ coherent signal processing schemes either by matched filter or correlation to reduce the noise and eventually obtain the highest improvement in Signal-to-Noise Ratio (SNR) [7,11]. Another issue in chaotic based radar systems (CBRS) is choosing the type of chaos synchronization between the transmitter and the receiver nodes.…”

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confidence: 99%

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Synchronization of Monostatic Radar Using a Time-Delayed Chaos-Based FM Waveform

Mariam¹,

Al–Suhail

Tahir

et al. 2022

Remote Sensing

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There is no doubt that chaotic systems are still attractive issues in various radar applications and communication systems. In this paper, we present a new 0.3 GHz mono-static microwave chaotic radar. It includes a chaotic system based on a time-delay to generate and process frequency modulated (FM) waveforms. Such a radar is designed to extract high-resolution information from the targets. To generate a continuous FM signal, the chaotic signal is first modulated using the voltage control oscillator (VCO). Next, the correct value for the loop gain (G) is carefully set when utilizing the phase-locked loop (PLL) at the receiver, so that the instantaneous frequency that reflects a chaotic state variable can be reliably recovered. In this system, the PLL synchronization and radar correlation are enough to recover the echo signal and detect the target. The finding indicates that the system can be implemented with no need to use the complete self-synchronization or complex projective synchronization schemes as compared to the existing chaotic radar systems. The simulation results show that the short-time cross-correlation of the transmitted and reconstructed waveforms is good and satisfactory to detect the target under various signal-to-noise ratio (SNR) levels and with less complexity in the design.

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Section: Radar Systems and Stealth Counter: Overviewmentioning

confidence: 99%

Section: Radar Systems and Stealth Counter: Overviewmentioning

confidence: 99%

mentioning

confidence: 99%

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Synchronization of Monostatic Radar Using a Time-Delayed Chaos-Based FM Waveform

Mariam¹,

Al–Suhail

Tahir

et al. 2022

Remote Sensing

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“…Therefore, the SNR at the receiver is estimated with the aid of the density function p(s) which is determined through simulations. The average power of the transmitted signal is (15) and the SNR is calculated as where σ n is the noise standard deviation. Thus the noise corrupted received signal r(t) is…”

Section: Noise Analysismentioning

confidence: 99%

Analysis of chaotic FM system synchronization for bistatic radar

Pappu

Verdin

Flores

et al. 2015

Radar Sensor Technology XIX; And Active and Passive Signatures VI

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We propose a scheme for bistatic radar that uses a chaotic system to generate a wideband FM signal that is reconstructed at the receiver via a conventional phase lock loop. The setup for the bistatic radar includes a 3 state variable drive oscillator at the transmitter and a response oscillator at the receiver. The challenge is in synchronizing the response oscillator of the radar receiver utilizing a scaled version of the transmitted signal s r (t, x) = αs t (t, x) where x is one of three driver oscillator state variables and α is the scaling factor that accounts for antenna gain, system losses, and space propagation. For FM, we also assume that the instantaneous frequency of the received signal, x s , is a scaled version of the Lorenz variable x. Since this additional scaling factor may not be known a priori, the response oscillator must be able to accept the scaled version of x as an input. Thus, to achieve synchronization we utilize a generalized projective synchronization technique that introduces a controller term -μe where μ is a control factor and e is the difference between the response state variable x s and a scaled x. Since demodulation of s r (t) is required to reconstruct the chaotic state variable x, the phase lock loop imposes a limit on the minimum error e. We verify through simulations that, once synchronization is achieved, the short-time correlation of x and x s is high and that the self-noise in the correlation is negligible over long periods of time.

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“…These include papers by Jariani, et al, 21 Haghshenas & Nayebi, 22 and Wu, et al 23 Chaotic functions applied as phase/frequency modulation has also been reported by a number of researchers. These include papers by Xu & Feng, 24 Hall, et al, 25 and Chandra, et al 26 More recently, a tie has been made between noise radar and compressive sensing by Shastry, et al 27 Most papers ignore processing sidelobe suppression entirely. Several treat sidelobe suppression by operating on received data only.…”

Section: Introductionmentioning

confidence: 99%

Shaping the spectrum of random-phase radar waveforms.

Marquette

Doerry²

2012

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Noise and noise-like waveforms may be generated by random modulation of only the phase of a sequence of samples. Furthermore, the spectral characteristics of resulting waveform may be shaped by suitably constraining the statistics of the random phase modulations. This maximizes the Signal-to-Noise ratio of the output of a matched filter by shaping the autocorrelation of the resulting sequence.-4 - Acknowledgements

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Analysis of the ambiguity function for an FM signal derived from the Lorenz chaotic flow

Cited by 6 publications

References 14 publications

Synchronization of Monostatic Radar Using a Time-Delayed Chaos-Based FM Waveform

Synchronization of Monostatic Radar Using a Time-Delayed Chaos-Based FM Waveform

Analysis of chaotic FM system synchronization for bistatic radar

Shaping the spectrum of random-phase radar waveforms.

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