Consider the decimation filter structure shown in Figure P4.37-1: where y0[n] a...

Consider the decimation filter structure shown in Figure P4.37-1:

where y₀[n] and y₁[n] are generated according to the following difference equations:

(a) How many multiplies per output sample does the implementation of the filter structure require? Consider a divide to be equivalent to a multiply.

The decimation filter can also be implemented as shown in Figure P4.37-2,

where v[n] = av[n − 1] + bx[n] + cx[n − 1].

(b) Determine a, b, and c.

(c) How many multiplies per output sample does this second implementation require?