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

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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https://hal.archives-ouvertes.fr/hal-03702139
Contributor : Michèle Wigger Connect in order to contact the contributor
Submitted on : Wednesday, June 22, 2022 - 6:08:48 PM
Last modification on : Sunday, June 26, 2022 - 12:02:39 PM

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  • HAL Id : hal-03702139, version 1

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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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