Abstract

In this new edition, we have highlighted the importance of digital filtering by separating the filter section from the preceding time series chapter. This new chapter begins with a discussion of general filtering techniques, which leads into the concept of “ideal filters”. The shape of filters leads into a discussion of the “Gibbs phenomenon” and its effect on the time series. The design of oceanographic filters is discussed. The use of running-mean filters is presented. For tides the use of “Godin”-type filters is discussed and standard Lanczos-window cosine filters are explained. Practical filter design is introduced with the resultant Hanning and Hamming windows. Butterworth filters are discussed in detail. Kaiser–Bessel filters are introduced and their applications are discussed at length. Frequency-domain filters are also presented and discussed.

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