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Conference Papers Year : 2022

Signaling for MISO Channels Under First-and Second-Moment Constraints

Shuai Ma
  • Function : Author
  • PersonId : 1110701
Stefan M Moser
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  • PersonId : 1144326
Ligong Wang
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  • PersonId : 739457
  • IdHAL : wangligong

Abstract

Consider a multiple-input single-output system, where the nonnegative, peak-limited inputs X1,. .. , Xn T ∈ [0, A] are subject to first-and second-moment sum-constraints on all antennas. The paper characterizes all probability distributions that can be induced for the "channel image," which is given by the inner product of the input vector with a given channel vector. Key to this result is the description of input vectors that achieve a given deterministic channel image with the smallest energy, where "energy" of an input vector refers to a weighted sum of its one-and two-norms. Minimum-energy input vectors have an interesting structure: depending on the desired channel image, some of the weakest antennas are silenced, and the remaining antennas are chosen according to a shifted and amplitudeconstrained beamforming rule.
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Dates and versions

hal-03702139 , version 1 (22-06-2022)

Identifiers

  • HAL Id : hal-03702139 , version 1

Cite

Shuai Ma, Stefan M Moser, Ligong Wang, Michèle M Wigger. Signaling for MISO Channels Under First-and Second-Moment Constraints. IEEE International Symposium on Information Theory, Jun 2022, Espoo, Finland. ⟨hal-03702139⟩
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