Convolutional

Free distance of convolutional code

Free distance of convolutional code

Specifically, the free distance of a convolutional code is the difference in path metrics between the all-zeroes output and the path with the smallest non-zero path metric going from the initial 00 state to some future 00 state.

  1. What is free distance?
  2. What is the meaning of 2 1 3 convolutional code?
  3. What is constraint length of convolution code?
  4. What is the code rate of convolutional codes?

What is free distance?

The free distance (d) is the minimal Hamming distance between different encoded sequences. The correcting capability (t) of a convolutional code is the number of errors that can be corrected by the code.

What is the meaning of 2 1 3 convolutional code?

The (2, 1, 3) convolutional encoder is used in the proposed method and is shown in Figure 1(a). The initial value of the blocks, U n , U n-1 and U n-2 are set to zero. ... Context 2. ... process is repeated until all the states are processed.

What is constraint length of convolution code?

Constraint Length of Convolutional Code

Constraint length, k, is the size of the shift register in the memory encoder without feedback. It means how many stages are needed for the combinational logic that produces the output bits. The shift register of size k, stores the present bit and the past (k -1) bits.

What is the code rate of convolutional codes?

In this case, the code rate R = k/n is 2/3, and the constraint length K, which is defined as the number of k bits that affect formation of each n bits, is 2. Since the minimum (Hamming) distance between codewords is 3, this convolutional coding can correct up to one bit error.

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