Using the mathematical tool of high-order spectra (polyspectra), we consider the synthesis of optimal variants of high-order differential phase-shift keying in the frequency domain. The proposed approach allows all possible variants of the second-order differential phase-shift keying to be reduced to phase modulation of a special form of the fourth-order spectrum (trispectrum) — triphase modulation. The optimal triphase shift keying variants which have the best spectral efficiency and outperform the known variants of the second-order differential phase-shift keying in noise immunity are devised. It is shown that the noise immunity of proposed modulation is higher than that of the first-order differential phase-shift keying in the channels with simultaneous time and frequency offsets.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 53, No. 8, pp. 543–561, August 2010.
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Bochkov, G.N., Gorokhov, K.V. & Kolobkov, A.V. Polyspectral analysis and optimization of the frequency-domain differential phase-shift keying. Radiophys Quantum El 53, 488–504 (2011). https://doi.org/10.1007/s11141-011-9245-0
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DOI: https://doi.org/10.1007/s11141-011-9245-0