Correct abstract

letter.tex

@@ -32,8 +32,8 @@
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+	\usetikzlibrary{external}
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@@ -91,20 +91,19 @@ Hertzstr. 16, 76187 Karlsruhe, Germany, Email: \texttt{\{first.last\}@kit.edu}}
 \begin{abstract}
 In this paper, the proximal decoding algorithm is considered within the
 context of \textit{additive white Gaussian noise} (AWGN) channels.
-An analysis of the convergence behavior of the algorithm shows that it is an
-inherent property of proximal decoding to enter an
-oscillating behavior of the estimate after a number of iterations.
+An analysis of the convergence behavior of the algorithm shows that
+proximal decoding inherently enters an oscillating behavior of the estimate
+after a certain number of iterations.
 Due to this oscillation, frame errors arising during decoding can often
-be attributed to only a few remaining wrongly decoded components.
-
-In this paper, an improvement of the algorithm is proposed by appending an
-additional step, in which these erroneous components are attempted to be
-corrected.
-An empirical rule is suggested, with which the components most likely needing
+be attributed to only a few remaining wrongly decoded bits.
+In this letter, an improvement of the proximal decoding algorithm is proposed
+by appending an additional step, in which these erroneous components are
+attempted to be corrected.
+We suggesst an empirical rule with which the components most likely needing
 correction can be determined.
 Using this insight and performing a subsequent ``ML-in-the-list'' decoding,
-a gain of up to approximately 1 dB is achieved compared to proximal decoding,
-depending on the parameters chosen and the code considered.
+a gain of up to approximately 1 dB is achieved compared to conventional
+proximal decoding, depending on the decoder parameters and the code.
 \end{abstract}
 
 \begin{IEEEkeywords}