A systematic generator matrix for a (2,1) convolutional code is given by
![45_ad58d6d3-4a12-4e26-89d4-4a0bd0e254d8.png](https://secure.tutorsglobe.com/CMSImages/45_ad58d6d3-4a12-4e26-89d4-4a0bd0e254d8.png)
a. What is the free Hamming distance of this convolutional code?
b. Sketch a systematic encoder based on this generator matrix.
c. Sketch a trellis labeled with data bits and codeword bits.