\begin{tikzpicture}
\begin{axis}[
	axis lines*=middle,
	enlargelimits = upper, clip=true,
	scale only axis,
	width=0.8\textwidth,
	height=0.4\textwidth,
	ymin=0, ymax=0.4,
	xmin=-4, xmax=4,
	axis line style={->,>=stealth},
	xlabel={\Large $x$},
	ylabel={\huge $p_{x_Q}(x) = \underbrace{(p_x(x) \ast r(x))}_{\Large p_{\tilde{x}_Q}(x)}\cdot s(x)$},
	every axis x label/.style={
		at={(ticklabel* cs:1)},
		anchor=north,
	},
	every axis y label/.style={
		at={(ticklabel* cs:0.8)},
		anchor=south,
		xshift=2.3cm,
	},
	xtick={-3,...,3},
	xticklabels={$-3\Delta$,$-2\Delta$, $-\Delta$, 0, $\Delta$, $2\Delta$, $3\Delta$},
	ytick=\empty,
	every outer y axis line/.append style={white!15!black},
	every y tick label/.append style={font=\color{white!15!black}},
	legend style={draw=white!15!black,fill=white,legend cell align=left}]
	\addplot [smooth, black!20, line width=1pt, forget plot]
	table[row sep=crcr]{
		-5 3.1178e-06 \\
		-4.8 8.1063e-06 \\
		-4.6 1.9895e-05 \\
		-4.4 4.6364e-05 \\
		-4.2 0.00010396 \\
		-4 0.00022431 \\
		-3.8 0.00046577 \\
		-3.6 0.0009308 \\
		-3.4 0.0017904 \\
		-3.2 0.0033151 \\
		-3 0.0059093 \\
		-2.8 0.010142 \\
		-2.6 0.01676 \\
		-2.4 0.026672 \\
		-2.2 0.040879 \\
		-2 0.060346 \\
		-1.8 0.085813 \\
		-1.6 0.11756 \\
		-1.4 0.15515 \\
		-1.2 0.1973 \\
		-1 0.24176 \\
		-0.8 0.28547 \\
		-0.6 0.32484 \\
		-0.4 0.35623 \\
		-0.2 0.3765 \\
		0 0.38351 \\
		0.2 0.3765 \\
		0.4 0.35623 \\
		0.6 0.32484 \\
		0.8 0.28547 \\
		1 0.24176 \\
		1.2 0.1973 \\
		1.4 0.15515 \\
		1.6 0.11756 \\
		1.8 0.085813 \\
		2 0.060346 \\
		2.2 0.040879 \\
		2.4 0.026672 \\
		2.6 0.01676 \\
		2.8 0.010142 \\
		3 0.0059093 \\
		3.2 0.0033151 \\
		3.4 0.0017904 \\
		3.6 0.0009308 \\
		3.8 0.00046577 \\
		4 0.00022431 \\
		4.2 0.00010396 \\
		4.4 4.6364e-05 \\
		4.6 1.9895e-05 \\
		4.8 8.1063e-06 \\
		5 3.1178e-06 \\
	} node[pos=0.65, black, pin={[pin edge={black, thick}]40:{\color{black} \Large $p_{\tilde{x}_Q}(x)$}}, inner sep=0pt] {};

	
	\addplot [dirac, line width=1pt, forget plot]
	table[row sep=crcr]{
		-2 0.053991 \\
		-1 0.24197 \\
		0 0.39894 \\
		1 0.24197 \\
		2 0.053991 \\
	};
\end{axis}
\end{tikzpicture}