Spinal codes, a family of rateless codes introduced in 2011, have been proved to achieve Shannon capacity over both the additive white Gaussian noise (AWGN) channel and the binary symmetric channel (BSC). In this paper, we derive explicit tight upper bounds on the error probability of Spinal codes under maximum-likelihood (ML) decoding and perfect channel state information (CSI) over three typical fading channels, including the Rayleigh channel, the Nakagami-m channel and the Rician channel. Simulation results verify the tightness of the derived upper bounds.

翻译：脊髓码（Spinal codes）是2011年提出的一类无速率码，已被证明在加性高斯白噪声（AWGN）信道和二进制对称信道（BSC）上能够达到香农容量。本文推导了在最大似然（ML）解码和完美信道状态信息（CSI）条件下，脊髓码在三种典型衰落信道——包括瑞利信道、Nakagami-m信道和莱斯信道——上的显式严格错误概率上界。仿真结果验证了所推导上界的紧致性。