APPENDIX A: NOTATION 



Ajjj^ Fourier cosine coefficient at k'*^ frequency for time series x 



A 1^ Fourier cosine coefficient at k"^*^ frequency for time series y 



Bj;!^ Fourier sine coefficient at k'^'^ frequency for time series x 



B 1^ Fourier sine coefficient at k*^*^ frequency for time series y 



C^^ Modulus of sinusoidal component k of time series x 



df Infinitesimal increment of frequency 



dH Infinitesimal increment of wave height 



dt Time step 



dx Infinitesimal increment of x 



f Frequency 



f^ Center frequency of a spectrum 



fj^ , f2 Specific frequencies 



H Wave height 



H^Q Spectrum-based characteristic wave height 



Hjj The n"^^ wave height in a set 



H^^^ Average of highest fraction r of all wave heights 



H Root-mean-quad wave height 



Hj.^5 Root-mean- square wave height 



H*^''^' Average of highest one-third of all wave heights 



Hj^/3 Alternate notation for H'^'^' 



fl Randomly chosen wave height 



i Summing index 



j Index of an observed wave height; index of an element of a 

 discrete function 



J^ Number of wave heights in accumulation bin u 



Al 



