# The plot thickens

The probability density function of the normal or Gaussian distribution, is:

y(t)=(1/(sigma*(2*pi)^0.5))*e^(-0.5*((t-mu)/sigma)^2)

where mu is the mean and sigma the standard deviation. Have a look at the amplitude spectrum of y(t) with mu=0 and three separate values of sigma=0.05, 0.1 and 0.5 and with -2<=t<2.

What do you notice about the spread of frequencies as the spread of the original function is increased?

#frequencyanalysis #gaussian #normaldistribution #mathematicsforelectricalengineeringandcomputing21.10 #mathematicsforelectricalengineeringandcomputing16.5

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