Abstract
We consider the problem of choosing a robust input for communicating over an input constrained additive-noise channel where the noise distribution is arbitrary. We show that the mutual information rate achievable using a white Gaussian input never incurs a loss of more than half a bit per sample with respect to the power constrained capacity. For comparison, for the family of colored Gaussian noise channels a white Gaussian input loses at most log (e) / 2e ≈ 0.265 bit per sample with respect to the optimum water-pouring solution. For general input constraints, we derive a formula for choosing the best input in the min-max capacity loss (bound) sense. The bound on the capacity loss is tight for pulse position modulation (PPM) in the presence of a bursty jammer.
Original language | English |
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Pages (from-to) | 1362-1367 |
Number of pages | 6 |
Journal | IEEE Transactions on Information Theory |
Volume | 50 |
Issue number | 6 |
DOIs | |
State | Published - Jun 2004 |
Keywords
- Gaussian codebook
- Min-max rate loss
- Unknown channels
- White versus water-pouring spectrum