On the Optimality of Uniform Pulse Amplitude Modulation

  • Authors:
  • A. M. Makowski

  • Affiliations:
  • Dept. of Electr. & Comput. Eng., Maryland Univ., College Park, MD

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

We characterize the optimal M-ary pulse amplitude modulation (PAM) constellation under a general energy constraint. It is shown that uniform M-ary PAM may not always yield the best signal design, e.g., under the average energy constraint. We also identify situations where uniform PAM is optimal, e.g., the peak energy constraint