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Using the generator matrix G, information bits are encoded.
Binary codewords c ∈ Z 2 N where Z 2 = { 0, 1 } are generated from the vector of information bits u ∈ Z 2 K using the generator matrix G ∈ Z 2 K × N, i.e., c=u G, and all binary operations are considered over a Galois field GF(2).
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For simulation results, we use the generator matrix shown in (40), which can be calculated from [4].
The generator matrix used for the 4-ary hashes used (note: no relationship with here).
Figure 14 Simulation results of a convolutional decoder, using the iterative method with the generator matrix, after 30 CG iterations (see[72]); SNR versus the relative rate of erasures (w.r.t. full capacity) in an erasure channel.
Using the state balance equations under the equilibrium conditions the generator matrix G for the above Markov chain is derived as shown in (1).
The parity-check matrix H of GLD code is rearranged using Gaussian elimination method to get the systematic form, and then the generator matrix G is achieved.
The submatrix is obtained from the generator matrix by knocking off the rows of corresponding to packets not used or lost during transmission.
where Q is the generator matrix.
where the information vector is, the generator matrix is (2).
where Q w is the generator matrix of the WLAN.
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