Valuable property when used in a feedback loop

The amplitude response of Lagrange interpolation is always less than 1 when the desired delay lies within the middle half of the coefficient span [515, p. 92]:

Note that even-order interpolators have a two-sample ``passive'' range, while odd-order interpolators have only a one-sample passive range.

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Order a Hardcopy of Physical Audio Signal Processing

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written by Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.