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Article

Hybrid Code Index Modulation Based on Multi-Carrier Differential Chaos Shift Keying

College of Computer and Control Engineering, Northeast Forestry University, Harbin 150040, China
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Author to whom correspondence should be addressed.
Entropy 2026, 28(6), 579; https://doi.org/10.3390/e28060579
Submission received: 2 April 2026 / Revised: 10 May 2026 / Accepted: 15 May 2026 / Published: 22 May 2026
(This article belongs to the Section Complexity)

Abstract

A hybrid code index modulation based on multi-carrier differential chaos shift keying (DCSK), referred to as HCIM MC-DCSK, is proposed in this paper. In the proposed system, multiple data-bearing information signals are transmitted simultaneously with one reference signal. The number of separate physical channels required for data transmission is M + 1, where M is the number of subcarriers. These data-bearing information signals are separated by different Walsh codes. The chaotic signal and its Hilbert transform are utilized to complete the hybrid index modulation. In addition, analytical bit-error-rate expressions are derived for the proposed HCIM MC-DCSK system operating over AWGN and multipath Rayleigh fading channels. The spectral efficiency and data rate of the proposed system are analyzed. The validity of the analytical results and the superiority of the proposed system are confirmed through relevant simulations.
Keywords: differential chaos shift keying; hybrid code index modulation; multi-carrier modulation; bit error rate; Walsh codes differential chaos shift keying; hybrid code index modulation; multi-carrier modulation; bit error rate; Walsh codes

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MDPI and ACS Style

Yu, X.; Song, C. Hybrid Code Index Modulation Based on Multi-Carrier Differential Chaos Shift Keying. Entropy 2026, 28, 579. https://doi.org/10.3390/e28060579

AMA Style

Yu X, Song C. Hybrid Code Index Modulation Based on Multi-Carrier Differential Chaos Shift Keying. Entropy. 2026; 28(6):579. https://doi.org/10.3390/e28060579

Chicago/Turabian Style

Yu, Xibei, and Chunyan Song. 2026. "Hybrid Code Index Modulation Based on Multi-Carrier Differential Chaos Shift Keying" Entropy 28, no. 6: 579. https://doi.org/10.3390/e28060579

APA Style

Yu, X., & Song, C. (2026). Hybrid Code Index Modulation Based on Multi-Carrier Differential Chaos Shift Keying. Entropy, 28(6), 579. https://doi.org/10.3390/e28060579

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