$2\mathrm{.}30$ Represent the function

$e(t)=5sin31\mathrm{.}4t+2sin44t$

as a discrete set of $N=128$ numbers separated by a

time increment of $(\frac{1}{N}).$ Use an appropriate algo$-$

rithm to construct an amplitude spectrum from this

data set. $($Hint: A spreadsheet program or the pro$-$

gram file DataSpect will handle this task.$)$

$2\mathrm{.}31$ Repeat Problem $2\mathrm{.}30$ using a data set of $256$ num$-$

bers at $t=(\frac{1}{N})$ and $t=(\frac{1}{2}N)$ seconds. Com$-$

pare and discuss the results.

Please use MATLAB code: