Implementation of Interpolator The process of interpolation consists of an up-sampler followed by an anti-imaging (low pass) filter. We repeat below the block diagram developed earlier.

Taking the filter H(z) to be an FIR filter, the interpolator is implemented as shown below, using a direct form structure for H(z). Note that the coefficients {bi, i = 0 to (N-1)}, used in earlier formulations, are the same as {h(i), i = 0 to (N-1)} used in this diagram. Further, the FIR filter here is implemented with N coefficients rather than (N+1) coefficients. We shall find it more convenient to use the transposed form of the FIR filter rather than the structure actually shown here, so here follows a digression on the transposed structure.

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