time series normalization and standardization

hey, I have a time series of wind speed data (V) and I am trying to normalize the dataset to make all of them have zero mean and one variance. I first began transforming the dataset to make it more gaussian shaped by raising the power of each input by k/3.6, where k is the form factor of a weibull distribution. I have separated my data into separate months to remove seasonality and I am now trying to standardize and the equation is (V transformed -mu)/sigma. I would like to know how to determine mu and sigma? is it the mean and standard dev of the entire transformed time series or is it the mean & std dev of the wind speeds for the same time? I have attached the review that I am following.