The directional-modulation vulnerability conjecture

Let cA(s,n)c_{\mathcal{A}}(s,n) denote the relevant coefficient for symbol sSs\in\mathcal{S} and index nn. For a fixed nn, compare the values cA(s,n)c_{\mathcal{A}}(s,n) as ss ranges over S\mathcal{S}. Directional-modulation vulnerability conjecture. The closer the values of cA(s,n)c_{\mathcal{A}}(s,n) for all sSs\in\mathcal{S} at the same nn are, the less vulnerable the wireless system becomes. This proposed statement summarizes the preceding numerical case studies relating the coefficients to information leakage and system vulnerability; the supplied text does not establish it analytically or indicate whether it has been resolved.

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Primary source

Pedro E. Gória Silva, Adam Narbudowicz, Nicola Marchetti, Pedro H. J. Nardelli, Rausley A. A. de Souza and Jules M. Moualeu, “Low-Complexity Dynamic Directional Modulation: Vulnerability and Information Leakage”, arXiv:2305.19719 (2023).

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