Question: Consider the eight-point decimation-in-time (DTI) flow graph in figure. (a) What is the gain of the ?signal path? that goes from x(7) to X(2)? (b)

Consider the eight-point decimation-in-time (DTI) flow graph in figure.

(a) What is the gain of the ?signal path? that goes from x(7) to X(2)?

(b) How many paths leads from the input to a given output sample? Is this true for every output sample?

(c) Compute X(3) using the operations dictated by this flow graph.

Stage i Stage 2 Stage 3 X(0) 1(0) x(4) ) w: x(2)

Stage i Stage 2 Stage 3 X(0) 1(0) x(4) ) w: x(2) 2) X(3) x(6) -1- X(4) x5) . X(5) -1 X:6) X(7) *(7)

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