SYMBOLS AND DEFINITIONS—Continued 



M total number of points in zero-padded time series 



m siimmation index 



m constant used to specify frequency of a sinusoidal wave 



N number of data points in time series 



n index to sequence of data points 



p number of functions used to estimate time series in MRS analysis 



R.(t) autocorrelation between wave amplitudes 



Rti(T) autocorrelation between wave heights 



R™(t) autocorrelation between wave periods 



R^ correlation between the function x^ and the time series 



R XV multiple correlation between the functions x^_ and x . and 



2i~l 2i the time series 



T( j ) difference between j ' th wave period and mean period for record 



"""tvts time between high wave groups estimated from peaks in local 

 variance time series (LVTS) 



T J time between high wave groups estimated from wave steepness 



TwT.Q time between high wave groups estimated from MRS constituents 



T wave period corresponding to highest spectral peak 



tj time associated with a data point in time series 



w(nAt) cosine bell data window 



Xj selected function of time 



^i 



selected function of time with mean removed 

 y, y(nAt) finite time series with zero mean 



y(nAt) time series after application of cosine bell data window 



o 



y(nAt) squared time series 



y(nAt) time series padded syimnetrically with zeros 



