iii) (8%) Provide an example of H(f) satisfying the condition in part ii). Show in time domain that it indeed will not result in any inter-symbol interference.

6. (10%) A matrix $ H $ for a linear block code is defined such that each vector $ v $ is a valid codeword if and only if $ Hv^T = 0 $. Assume that $$H = \begin{bmatrix} 1 & 1 & 0 & 1 & 0 & 0 \\ 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 0 & 0 & 0 & 1 & 1 \\ 0 & 0 & 1 & 1 & 0 & 1 \end{bmatrix}$$ i) Is the vector $ v_{1} = [1\ 0\ 0\ 1\ 0\ 1] $ a valid codeword vector? Why or why not? ii) How many valid codewords can you find?

(iii) (8%) Provide an example of \( H(f) \) satisfying the condition in part ii). Show in time domain that it indeed will not result in any inter-symbol interference.

相關申論題

相關試卷