Start of Digression

Transposed Structure According to the transposition theorem the transposed form of a filter has the same transfer function as the filter. The transposed form of a given filter structure is found as follows:

1. Construct the signal flow graph of the filter.

2. Reverse the direction of arrow on every branch.

3. Interchange the inputs and outputs.

4. Reverse the roles of all nodes: an adder becomes a pick-off point and a pick-off point becomes an adder.

If we apply this procedure to the FIR structure in the above interpolator the result is the transpose shown below. The intermediate steps are omitted.

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