# Upper Bounds On the ML Decoding Error Probability of General Codes over AWGN Channels

@article{Zhuang2013UpperBO, title={Upper Bounds On the ML Decoding Error Probability of General Codes over AWGN Channels}, author={Qiutao Zhuang and Jia Liu and Xiao Ma}, journal={ArXiv}, year={2013}, volume={abs/1308.3303} }

In this paper, parameterized Gallager's first bounding technique (GFBT) is presented by introducing nested Gallager regions, to derive upper bounds on the ML decoding error probability of general codes over AWGN channels. The three well-known bounds, namely, the sphere bound (SB) of Herzberg and Poltyrev, the tangential bound (TB) of Berlekamp, and the tangential-sphere bound (TSB) of Poltyrev, are generalized to general codes without the properties of geometrical uniformity and equal energy… Expand

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