Harmonic analysis

nounStandard termTides

Breaking an observed water level or current record into its tidal constituents to find each one's amplitude and phase.

A least-squares fit of cosine waves at the known constituent speeds to an observed record, yielding an amplitude and phase lag for each. Record length decides what can be separated: a month resolves the main constituents, while about six months is needed to split S2 from K2 and a year or more to resolve the full set cleanly. The resulting harmonic constants drive predictions and reveal the character of the local tide.

Heard on the job

Run a harmonic analysis on the 29 days we have, then predict ahead for the dredge schedule.

Insider tip

With less than a month of data, minor constituents must be inferred from major ones, so short-record predictions are rough guides at best.

Also heard as

  • tidal analysis
  • harmonic reduction