Closed-Form Word Error Rate Analysis for Successive Interference Cancellation Decoders
Jinming Wen, Keyu Wu, Chintha Tellambura, Pingzhi Fan · IEEE Transactions on Wireless Communications · 2018
We consider the detection of an integer vector x̂ ∈ ℤnfrom the linear observation y = Ax̂ + v, where A ∈ ℝm×nis a random matrix with independent and identically distributed (i.i.d.) standard Gaussian N (0, 1) entries, and ν ∈ ℝmis a noise vector with i.i.d. N (0, σ2) entries with given σ. In digital communications, x̂ is typically uniformly distributed over an n-dimensional box B. For this detection problem, successive interference cancellation decoders are popular due to their low complexity, and a detailed analysis of their word error rates (WERs) is highly useful. In this paper, we derive closed-form WER expressions for two cases: (1) x̂ ∈ℤnis fixed and (2) x̂ is uniformly distributed over B. We also investigate some of their properties in detail and show that they agree closely with simulated word error probabilities.