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Table 1 Overview of used symbols for power allocation

From: Distributed MMSE-based uplink receive combining, downlink transmit precoding and optimal power allocation in cell-free massive MIMO systems

Symbol

Meaning

Place of computation

\(\gamma _{k}\)

\(E\{ {\textbf{v}}^{H}_{k} \hat{{\textbf{h}}}_{k}\}\)

NC

\(\upsilon _{ki}\)

\(E\{ |{\textbf{v}}^{H}_{k} \hat{{\textbf{h}}}_{i}|^{2} \}\)

NC

\(\xi _{ki}\)

\(E\{ {\textbf{v}}^{H}_{k} {\textbf{C}}_{i} {\textbf{v}}_{k}\}\)

NC

\(\nu _{k}\)

\(E\{ {\textbf{v}}^{H}_{k} {\textbf{R}}^{\mathrm{UL}}_{{\textbf{n}} {\textbf{n}}} {\textbf{v}}_{k}\}\)

NC

\(\mu _{k}\)

\(E\{ {\textbf{v}}^{H}_{k} {\textbf{v}}_{k}\}\)

NC

\(\xi ^{l}_{ki}\)

\(E\{ {\textbf{v}}^{H}_{kl} {\textbf{C}}_{il} {\textbf{v}}_{kl}\}\)

AP

\(\nu ^{l}_{k}\)

\(E\{ {\textbf{v}}^{H}_{kl} {\textbf{R}}^{\mathrm{UL}}_{{\textbf{n}}_{l} {\textbf{n}}_{l}} {\textbf{v}}_{kl}\}\)

AP

\(\mu ^{l}_{k}\)

\(E\{ {\textbf{v}}^{H}_{kl} {\textbf{v}}_{kl}\}\)

AP