diff --git a/letter.tex b/letter.tex
index 3e71c60..afe0a81 100644
--- a/letter.tex
+++ b/letter.tex
@@ -1,28 +1,19 @@
 \documentclass[journal]{IEEEtran}
 
+
 \usepackage{amsmath,amsfonts}
+\usepackage{float}
 \usepackage{algorithmic}
 \usepackage{algorithm}
-\usepackage{array}
-\usepackage[caption=false,font=normalsize,labelfont=sf,textfont=sf]{subfig}
-\usepackage{textcomp}
-\usepackage{stfloats}
-\usepackage{url}
-\usepackage{verbatim}
-\usepackage{graphicx}
-\usepackage{cite}
-\usepackage[dvipsnames]{xcolor}
-\usepackage{float}
-\usepackage{tikz}
-\usepackage{pgfplots}
-\usetikzlibrary{spy, arrows.meta,arrows}
-\pgfplotsset{compat=newest}
-\usepgfplotslibrary{colormaps}
-\usepackage{listings}
-\usepackage{lipsum}
-\usepackage{dsfont}
-\usepackage{ulem}
 \usepackage{siunitx}
+\usepackage{dsfont}
+
+\usepackage{tikz}
+\usetikzlibrary{spy, arrows.meta,arrows}
+
+\usepackage{pgfplots}
+\pgfplotsset{compat=newest}
+
 
 \hyphenation{op-tical net-works semi-conduc-tor IEEE-Xplore}