Maximizing the Output Energy of a Linear Channel with a Time- and Amplitude-Limited Input

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10 Scopus citations

Abstract

The following problem is considered: Maximize the output energy of a linear time-invariant channel, given that the input signal is time and amplitude limited. It is shown that a necessary condition for an input u to be optimal, assuming a unity amplitude constraint, is that it satisfy the fixed-point equation u ~ sgn [F(u)], where the functional F is the convolution of u with the autocorrelation function of the channel impulse response. It is also shown that all solutions to this equation for which

Original languageEnglish (US)
Pages (from-to)1041-1052
Number of pages12
JournalIEEE Transactions on Information Theory
Volume38
Issue number3
DOIs
StatePublished - May 1992

Keywords

  • Amplitude-constraint
  • design
  • fixed-point condition
  • maximum energy
  • signal

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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