Algorithms and Parallel Computing

14.13 INTERPOLATOR DAG FOR s₂ = [1 −1]

The DAG corresponding to s₂ is shown in Fig. 14.15. The equitemporal planes are indicated by the gray lines and the time index values are indicated by the grayed numbers associated with the equitemporal planes. We note from the figure that a maximum of four nodes is active at any time step. It should also be noted that the time values are associated with the high data rate of the interpolator input. We have three possible valid projection vectors:

(14.44)

(14.45)

(14.46)

Figure 14.15 1-to-L interpolator DAG for the case when L = 3, N = 12, and s₂ = [1 −1].

These projection directions correspond to the projection matrices

(14.47)

(14.48)

(14.49)

We consider only the design corresponding to d_2a since the other two designs will ...