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The series representation of ocean wave surface elevation profile using an existing spectral energy density can be achieved by linear superposition of terms in an expansion. This study demonstrates that the use of Karhunen-Loeve (K-L) expansion in which the eigenfunctions of Prolate Spheroidal Wave Functions (PSWFs) are used can be correlated with Fourier and constrained new wave approach in terms of computer cost required (3.225x10 3 s, 3.0615x10 3 s and 1.3221x10 4 s respectively) in the wavedoi:10.17485/ijst/2017/v10i4/110894 fatcat:teeg2ey4sfgvfmhgi5fwffnyqe