1. Simulate data sets in MATLAB and compute the crest factor and kurtosis values corresponding to the sin functions, uniformly distributed data, and normally distributed data. Change the data length to re-examine your results.

The reference kurtosis m-file:

x = my_signal;

x0 = x - mean(x); % x-mu(x)

s2 = mean(x0.^2); % biased variance estimator

m4 = mean(x0.^4); % the 4th moment

kurtosis = m4 ./ s2.^2; % kurtosis

crest_factor = max(x0)/sqrt(s2); % crest factor