Energy-Based Modulation for Noncoherent Massive SIMO Systems

Alexandros Manolakos, Mainak Chowdhury, Andrea Goldsmith

Research output: Contribution to journalArticlepeer-review

55 Scopus citations


An uplink system with a single antenna transmitter and a single receiver with a large number of antennas is considered. We propose a single-shot noncoherent scheme which does not use the instantaneous channel state information (CSI), but rather only the knowledge of the channel statistics, a transmitter that modulates information only in the amplitude of the symbols, and a receiver which measures only the average received energy across the antennas. This system model is motivated by the simplicity of the circuit design and the energy efficiency it entails for both the transmitter and the receiver. We propose constellation designs which are asymptotically optimal with respect to symbol error rate (SER) with an increasing number of antennas, for any finite signal-To-noise power ratio (SNR), under different assumptions on the availability of CSI statistics. We describe in detail the case when there is a bounded uncertainty on the moments of the fading distribution. We present the numerical results on the SER performance achieved by these designs and find that they outperform the existing amplitude-modulation-based noncoherent scheme of amplitude shift keying (ASK). They also achieve a smaller peak-To-Average power ratio (PAPR) for scenarios with a low SNR or a large line-of-sight (LOS) component.

Original languageEnglish (US)
Pages (from-to)7831-7846
Number of pages16
JournalIEEE Transactions on Wireless Communications
Issue number11
StatePublished - Nov 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics


  • Massive SIMO
  • energy receiver
  • envelope detectors
  • noncoherent communications


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