Signaling for MISO Channels Under First- and Second-Moment Constraints
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2022
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Conference Paper
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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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published
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2022 IEEE International Symposium on Information Theory (ISIT)
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2648 - 2653
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IEEE
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IEEE International Symposium on Information Theory (ISIT 2022)
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03529 - Lapidoth, Amos / Lapidoth, Amos