Chaotic waveform for optimal joint radar communication systems. (April 2023)

• Record Type: Journal Article
• Authors: Pappu, Chandra S.; Carroll, Thomas L.
• Is Part Of: Chaos, solitons and fractals. Volume 169(2023)
• Publication Date: 2023-04
• Subjects: Amplitude-chaos shift keying -- Joint radar-communication -- Thumbtack ambiguity function -- Chaotic MIMO joint radar-communications; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2023.113261
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: Due to the increased spectrum congestion, there has been a tremendous interest in radar and communication devices operating on a shared platform. Therefore, the waveform design for joint radar communication (JRC) systems has recently gained significant attention. Despite several efforts, most state-of-the-art waveforms are far from achieving ideal radar and communication performance. To address this issue, we design a family of chaotic maps whose output yields waveforms with optimal JRC features. We adopt the antipodal chaos shift keying (ACSK) scheme, where the segments of the chaotic signal are multiplied by ± 1 to encode the binary information. This ACSK waveform is further used for the JRC system transmission. Once the synchronization between the receiver and transmitter is established, the information is recovered by cross-correlating the received and the synchronized waveforms. This technique yields bit error rates (BER) similar to the theoretical values of the BPSK waveform. The same transmitted waveform results in a thumb-tack ambiguity function which is essential for high-resolution radar imaging. The variance analysis of the ambiguity function shows that the proposed waveform is comparable to the noise-modulated waveforms. We also show that the multiplexed ACSK waveforms yield similar optimal behavior. Furthermore, we demonstrate the potential of the family of chaotic maps for multiple-input, multiple-output (MIMO) JRC systems. Highlights: Design a rule for a chaotic map using control parameters to produce a broad spectrum. The autocorrelation of a chaotic map is of high quality with extremely low sidelobes. The information is encoded using antipodal chaos shift keying. Transmit the encoded chaotic signal in the JCR setting. Achieved optimal performance both for radar and communications simultaneously.