Examples of 'parity check matrix' in a sentence
Meaning of "parity check matrix"
Parity check matrix: A parity check matrix is a mathematical matrix used in coding theory to check for errors in transmitted data. It helps to detect errors by ensuring that the number of bits with a value of 1 in each transmitted word is either even or odd
How to use "parity check matrix" in a sentence
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parity check matrix
Its parity check matrix is.
The connection matrices of said parity check matrix can be identical.
Parity check matrix.
Decoding is therefore effected iteratively on the basis of the parity check matrix.
It uses a parity check matrix to define the decoding graph on which the algorithm applies.
Memory storing information representing the structured parity check matrix is accessed.
In the parity check matrix initial value table illustrated in Fig.
It is to be noted that the conversion parity check matrix of FIG.
Note that the parity check matrix initial value table illustrated in Fig.
An LDPC coded signal based on the stored information representing the parity check matrix.
Note that the transformed parity check matrix illustrated in Fig.
Is a parity check matrix of a code comprising the parity code and the interleaving function ; and.
Is why H is called the parity check matrix.
This parity check matrix H can therefore be defined as follows, EPMATHMARKEREP.
Thus H is called the parity check matrix of the code.
See also
Encoding of low-density parity check ( ldpc ) codes using a structured parity check matrix.
The first row of the parity check matrix initial value table of FIG.
Fig . 27 illustrates a transformed parity check matrix.
The construction of such a parity check matrix is described more fully below in FIG.
Fig . 17 illustrates an example expanded parity check matrix.
Figure 11 illustrates the parity check matrix representation of the LDPC graph illustrated in Fig.
It can be regarded that the conversion parity check matrix H ' of FIG.
Let H = [ h ji ] be the parity check matrix that defines the code used.
Fig . 23 illustrates another example expanded parity check matrix.
The transformed parity check matrix H ' illustrated in Fig.
Fig . 1 illustrates an example low-density parity check matrix.
In other words, each “ 1 ” of the parity check matrix is replaced by a permutated identity matrix.
LDPC codes are long, linear block codes with sparse parity check matrix H ( n-k ) xn.
In fact, in this example, the parity check matrix H has the following structure, EPMATHMARKEREP.
Fig . 18 illustrates a Tanner graph corresponding to the parity check matrix shown in Fig . 17.
The parity check matrix generation unit 613 Fig.
Meanwhile, the second row of the parity check matrix initial value table of FIG.
The parity check matrix H is stored in the storage unit 602.
Multiplying the transformed parity check matrix H' illustrated in Fig.
Fig . 3 shows a parity check matrix of an exemplary QC-LDPC code with cyclic factor Q = 8.
From the foregoing, the conversion parity check matrix H ' of FIG.
Is the internal code parity check matrix associated with the internal coder 34 ( see FIG . 6 ).
FIG . 21 shows a conversion parity check matrix.
Fig . 3 shows the parity check matrix of an exemplary QC-LDPC code with cyclic factor Q=8.
Fig . 4 illustrates a Tanner graph of the parity check matrix H illustrated in Fig . 3.
LDPC codes are long, linear block codes with sparse parity check matrix H ( n - k ) xn.
FIG . 1 shows an example of a parity check matrix H of an LDPC code.
FIG . 18 shows ( part of ) a Tanner graph of the parity check matrix of the LDPC code.
Fig . 15 illustrates an example parity check matrix of a BCH code.
Further, Fig . 6 shows the Tanner graph of the parity check matrix shown in Fig . 5.
FIG . 4 shows a Tanner graph of the parity check matrix H of FIG . 3.
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