Worst-case power-constrained noise for binary-input channels

  • Authors:
  • S. Shamai;S. Verdu

  • Affiliations:
  • Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 1992

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Abstract

Additive noise channels with binary-valued inputs and real-valued outputs are considered. The maximum error probability and the minimum channel capacity achieved by any power-constrained noise distribution are obtained. A general framework which applies to a variety of performance measures shows that the least-favorable noise distribution is, in general, a mixture of two lattice probability mass functions. The framework holds for m-ary input constellations on finite-dimensional lattices.