Abstract

In this letter, a new amplitude phase shift keying (APSK) based ${M}$ -ary differential chaos shift keying (A- ${M}$ -DCSK) system is proposed. The theoretical symbol error rate (SER) and bit error rate (BER) expressions of A- ${M}$ -DCSK system for two constellations are derived and verified for both AWGN and multipath Rayleigh fading channels. Numerical results reveal that A- ${M}$ -DCSK system provides near or better BER with much lower peak-to-average power ratio (PAPR) as compared to quadrature amplitude modulation (QAM) based ${M}$ -DCSK (Q- ${M}$ -DCSK) system. Furthermore, A- ${M}$ -DCSK system shows better robustness against channel estimation error than Q- ${M}$ -DCSK system. At last, with APSK constellation rotation, the BER of A- ${M}$ -DCSK system is enhanced with a slightly increased PAPR.

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