Compare and contrast the two methods used to generate the two MATLAB arrays x$1$ and x$2$ in the following MATLAB code:

$\%$ T$.$ Obuchowicz

$\%$Fri Apr $2716$:$03$:$27$ EDT $2012$

clear

n $=[1$ : $20]$

x$1=$ sin$((2*$pi$/40)*$ n$).*$ cos$((2*$pi$/40)*$ n$)$ for index $=1$ : $20$

$\%$ Note: In MATLAB, no need to pre$-$allocate the array,

$\%$ unlike C$++$ and other high$-$level programming languages. x$2($index$)=$ sin$((2*$pi$/40)*$ index$)*$ cos$((2*$pi$/40)*$ index$)$

end

subplot$(2,1,1)$ stem$($n$,$ x$1)$

title$($Elegant method making full use of MATLABs array capabilities$)$ xlabel$($n$)$

ylabel$($x$[$n$])$

subplot$(2,1,2)$ stem$($n$,$ x$2)$

title$($Gets the job done, but it is a lot of work and we are not in the MATLAB mindset$)$

xlabel$($n$)$ ylabel$($x$[$n$])$