Signals and Systems Z Transform Z Transform From Difference Equation

The R = 1/3 convolution encoder defined by transfer functions:

H1(z) = 1+z-1

H2(z) = 1+z-2

H3(z) = 1 + z-1 + z-2 is:

1
recursive and K = 3
2
systematic and K = 2
3
non-recursive and K = 3
4
non-recursive and K = 2

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