A note on random ocean wave characterisation

The paper provides a brief description of the governing equations for linear water waves in a framework which connects key concepts for the wave characterisation such as the Pierson-Moskowitz spectrum with associated spreading functions, power spectral density functions, wave elevation and envelope, dispersion equation, intrinsic frequencies. Post-processing of real ocean wave observations via stereo imaging is elaborated. The paper clarifies the role of the modified nonlinear Schrödinger equation in evolving and predicting the formation of the rogue waves.