Further results on the bit error probabilities of MDPSK over the nonselective Rayleigh fading channel with diversity reception

1995 ◽  
Vol 43 (11) ◽  
pp. 2732-2741 ◽  
Author(s):  
Pooi Yuen Kam ◽  
Thian Ping Soh ◽  
Chun Sum Ng
Keyword(s):  
Fading Channel ◽  
Rayleigh Fading ◽  
Rayleigh Fading Channel ◽  
Diversity Reception ◽  
Error Probabilities

scholarly journals New 3D 16-Ary Signal Constellations and Their Symbol Error Probabilities in AWGN and Rayleigh Fading Channels

2018 ◽  
Vol 2018 ◽  
pp. 1-6
Author(s):  
Zhenxing Chen ◽  
Jiaheng Liu ◽  
Shuang Li ◽  
Seog Geun Kang
Keyword(s):  
Fading Channels ◽  
Fading Channel ◽  
Euclidean Distance ◽  
Rayleigh Fading ◽  
Additive White Gaussian Noise ◽  
Three Dimensional ◽  
Rayleigh Fading Channel ◽  
Error Performance ◽  
Signal Constellations ◽  
Error Probabilities

Two three-dimensional (3D) 16-ary signal constellations having extended lattice structures are presented in this paper. The theoretical symbol error probabilities (SEPs) of the new constellations in additive white Gaussian noise (AWGN) and Rayleigh fading channel are derived. Computer simulation confirms that the closed-form expressions for average SEPs of the constellations in the AWGN channel are very accurate. The theoretical SEP upper bounds in the Rayleigh fading channel are very tight. Since the presented constellations have larger minimum Euclidean distance (MED) than the conventional one, error performance can be improved up to 0.9 dB in an AWGN environment. Hence, the proposed constellations and their theoretical analysis can be used as a reference for the development of a wireless communication system with 3D signal constellations.

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