(a) $A(2,1,3)$ convolutional code has generator matrix defined by $g^{(1)}=\left(\begin{array}{lll}1 & 1 & 1\end{array}\right)$ and $g^{(2)}=(101)$. Write down its generator matrix. Find the output using both time-domain approach and polynomial-domain approach for an input sequence 10101.

Explanation

The generator matrix is obtained from the generator polynomials. The output using time-domain approach is obtained by multiplying the input sequence with the generator matrix. The output using polynomial-domain approach is obtained by multiplying the input sequence with the generator polynomials.

(a) $A(2,1,3)$ convolutional code has generator matrix defined by $g^{(1)}=\left(\begin{array}{lll}1 & 1 & 1\end{array}\right)$ and $g^{(2)}=(101)$. Write down its generator matrix. Find the output using both time-domain approach and polynomial-domain approach for an input sequence 10101.

Explanation

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