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Notes on Digital Signal Processing: Practical Recipes for Design, Analysis and Implementation by C. Britton Rorabaugh

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Note 56. Multistage Interpolation

When the desired interpolation factor, L, can be expressed as a product of I positive integer factors, as

L = L1L1 ... LI

the desired interpolation can be realized as a cascade of I interpolators, each interpolating by one of the factors, Li. Compared to a single-stage interpolator design, a design that adopts a multistage approach usually results in a reduced total computational burden, reduced memory usage, simpler filter designs, and reduced sensitivity to finite word-length effects in the implementation of the filters.

In lowpass FIR filter designs, the number of required taps, N, is approximately inversely proportional to the normalized transition bandwidth:

56.1

where fp is the passband edge fequency ...

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