  Generalized Orthogonal Matching Pursuit (gOMP) is a natural extension of OMP
algorithm where unlike OMP, it may select $N (\geq1)$ atoms in each iteration.
In this paper, we demonstrate that gOMP can successfully reconstruct a
$K$-sparse signal from a compressed measurement $ {\bf y}={\bf \Phi x}$ by
$K^{th}$ iteration if the sensing matrix ${\bf \Phi}$ satisfies restricted
isometry property (RIP) of order $NK$ where $\delta_{NK} < \frac
{\sqrt{N}}{\sqrt{K}+2\sqrt{N}}$. Our bound offers an improvement over the very
recent result shown in \cite{wang_2012b}. Moreover, we present another bound
for gOMP of order $NK+1$ with $\delta_{NK+1} < \frac
{\sqrt{N}}{\sqrt{K}+\sqrt{N}}$ which exactly relates to the near optimal bound
of $\delta_{K+1} < \frac {1}{\sqrt{K}+1}$ for OMP (N=1) as shown in
\cite{wang_2012a}.
