The $$R = \frac{1}{3}$$ convolution encoder defined by transfer functions
$$H_{1}(Z) =1+Z^{-1}$$
$$H_{2}(Z) =1+Z^{-2}$$
$$H_{3}(Z) =1+Z^{-1}+Z^{-2}$$

A

recursive and K = 3

B

systematic and K = 2

C

non-recursive and K = 3

D

non-recursive and K = 2