Error probability bounds for Gaussian channels under maximal and average power constraints Articles uri icon

publication date

  • June 2021

start page

  • 3965

end page

  • 3985

issue

  • 6

volume

  • 67

International Standard Serial Number (ISSN)

  • 0018-9448

Electronic International Standard Serial Number (EISSN)

  • 1557-9654

abstract

  • This paper studies the performance of block coding on an additive white Gaussian noise channel under different power limitations at the transmitter. New lower bounds are presented for the minimum error probability of codes satisfying maximal and average power constraints. These bounds are tighter than previous results in the finite blocklength regime, and yield a better understanding on the structure of good codes under an average power limitation. Evaluation of these bounds for short and moderate blocklengths is also discussed.

keywords

  • average power constraint; channel coding; constellation design; finite blocklength analysis; gaussian channel; hypothesis testing; maximal power constraint; meta-converse