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$4L^2$-APSK Constellation Method and Its Error Probability Analysis  

Nam, Young-Woo (강원대학교 전자통신공학과 휴먼인터페이스연구실)
Kim, Yong-Hwan ((주)텔레칩스)
Jang, Tae-Jeong (강원대학교 전자통신공학과 휴먼인터페이스연구실)
Abstract
In order to improve the efficiency of frequency bandwidth, various modulation methods such as QAM and PSK have been widely used, and their variation APSK(Amplitude Phase Shift Keying) type modulation methods were proposed and are being used in some satellite communication systems. In this paper, a new constellation method named as $4L^2$-APSK is proposed, which places symbol points circularly as the existing APSK constellations do, but has different number of points and different distance between adjacent points on each layer. An equation for error probability in AWGN channel is also induced for $4L^2$-APSK. In addition, a new Gaussian noise channel is proposed in which noise variances are in the amplitude and in the phase and the two are not equal, and a method of obtaining error probabilities in this channel is also suggested. The equations for error probabilities are verified by computer simulations, and error probabilities of $4L^2$-APSK and QAM are analyzed and compared in the AWGN channel and the proposed noise channel, respectively.
Keywords
constellation methods; error probability; APSK; QAM;
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