Ralf R. Muller and Wolfgang H. Gerstacker. On the capacity loss due to separation of detection and decoding. Submitted to IEEE Transactions on Information Theory, April 2002.  Home/Search   Document Details and Download   Summary   Related Articles

....binary entropy function and denoting the uncoded error probability. The goal of this paper is to extend such relationship to channels where the connection between uncoded error probability and channel capacity is less obvious. A first step into that direction is the following lemma proven in [1]: Lemma 1: Consider a memoryless weakly symmetric 1 channel with binary input and output , Let 01 denote the minimum uncoded probability of detection error of this channel conditioned on the observation of the output symbol 0 . Then, the capacity of that channel is given ....

....simplicity of the capacity difference while the capacities are very complicated expressions in terms of two channel parameters load and signal to noise ratio. It was tempting to believe that the simplicity of (5) occurs just by chance or due to the Gaussian assumption until Muller and Gerstacker [1] have recently shown the following result: rq sut c vxw Wyf W c g q sut c vxw k zl G q sut c vyw 4 # G q sut c vyw o # o (6) This complete analogy between (5) and (6) is even more surprising, if one considers that the multiuser detector for the binary input ....

Ralf R. Muller and Wolfgang H. Gerstacker. On the capacity loss due to separation of detection and decoding. Submitted to IEEE Transactions on Information Theory, April 2002.

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