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Make a page about interpolating FIR filters. Take care to note how many multiply/add operations.

An interpolting filter is when you create "in-between" samples from the original sample resulting as if you had sampled the signal at a higher rate. Interpolation only works with integers.

The are under the rth impulse function of the interpolated signal is

 y(t)= \sum_{r=-\infty}^\infty y(r)\delta (t- \left(\frac{\left(rt\right) }{2} \right))

For every T seconds, the number of add/multiply operations is