Generate MATLAB code that shows a decaying exponential function for the

time axis: t $=0$:$0\mathrm{.}001$:$1$;

Set the amplitude to $255$ and the exponent to a $=-6.$ Digitize by converting to

unsigned $8$bit integer $($uint$8).$ Calculate the entropy of this signal. Also,

calculate the entropy of the differential signal $($use Matlab diff$).$ The following code can be obtained to determine the probabilities of symbols $($the symbols

are integers between $0$ and $255)$:

h $=$ histogram$($x$,256,$ 'Normalization', 'Probability'$)$;

p $=$ h$.$Values;

Be careful because some of these probabilities may be zero, so if we just apply

the formula $-$sum$($p$.*$log$2($p$))$ to this vector, we might get an error. You

need to select the non$-$zero elements of p and then apply the formula. The calculated entropy was $6\mathrm{.}26.$ The entropy of the differential signal was

around $0\mathrm{.}88.$ Thank you