A closed-form symbol error rate analysis for successive interference cancellation decoders
Jinming Wen, Keyu Wu, Chintha Tellambura · 2017
Wireless and digital communications applications require the detection of an integer vector x̂ from y = Ax̂ + v, where A ϵ ℝm×nis a random matrix whose entries are independent and identically distributed (i.i.d.) standard Gaussian N(0,1) entries, and v ϵ ℝmis a noise vector following the Gaussian distribution N(0,σ2) with given σ. The successive interference cancellation (SIC) decoders are frequently used to detect x̂ due to their high accuracy and low implementation complexity. However, to accurately characterize their performance, we need to analyze their symbol error rates (SER). In this paper, we derive a closed-form expression for the SER of the SIC decoders and investigate its properties. Simulated error probabilities of the SIC decoders agree closely with our theoretical expressions.