From 44eecb1d49493417cf7537b5ec08c1f48b54fa3d Mon Sep 17 00:00:00 2001 From: Andreas Tsouchlos Date: Tue, 20 Dec 2022 14:58:14 +0100 Subject: [PATCH] formatting --- .../midterm/sections/theoretical_background.tex | 9 ++++++--- 1 file changed, 6 insertions(+), 3 deletions(-) diff --git a/latex/presentations/midterm/sections/theoretical_background.tex b/latex/presentations/midterm/sections/theoretical_background.tex index 03679f5..3af6cb1 100644 --- a/latex/presentations/midterm/sections/theoretical_background.tex +++ b/latex/presentations/midterm/sections/theoretical_background.tex @@ -46,7 +46,8 @@ \item All simulations are performed with BPSK Modulation: \begin{align*} x\left[ k \right] = \left( -1 \right)^{c\left[ k \right] }, - \hspace{5mm} \boldsymbol{c} \in \mathbb{F}_2^n, \hspace{2mm} k\in \left\{ 1, \ldots, n \right\} + \hspace{5mm} \boldsymbol{c} \in \mathbb{F}_2^n, + \hspace{2mm} k\in \left\{ 1, \ldots, n \right\} \end{align*} \item The used channel model is AWGN: \begin{align*} @@ -176,9 +177,11 @@ \end{align*} \item Relaxed polytope representation: \begin{align*} - \sum_{i\in \left( N\left( j \right) \setminus S\right) }f_i + \sum_{i\in S} \left( 1 - f_i \right) \ge 1 + \sum_{i\in \left( N\left( j \right) \setminus S\right) } f_i + + \sum_{i\in S} \left( 1 - f_i \right) \ge 1 \end{align*} - ``$\boldsymbol{f}$ is separated by at least one bitflip from all illegal configurations'' + ``$\boldsymbol{f}$ is separated by at least one bitflip + from all illegal configurations'' \end{itemize} \end{minipage}% \hfill%