- #1
mad mathematician
- 4
- 0
- Homework Statement
- For ##R=1/2## convolutional encoder with a generator matrix ##G(x)=[1+x^2+x^3 1+x+x^3]##
1.draw the hardware realization of the encoder.
2. determine the convolutional matrix generator, G.
3. For the input sequence ##m=[1011011]## determine the coded output sequence.
- Relevant Equations
- In the attachment, there's the drawing where G2 is the output of G(x) second entry above and G1 is the first output in the first output entry above. D is the shift register.
Is my drawing correct?
As for item 2. I don't see how to get the convolutional matrix G from G(X) above, section 3 is just ##mG##, i.e multiplication of the message vector by ##G## (multiplication of a vector with a matrix from left to the matrix.)
Thanks in advance!
My attempt at solution says it all.
