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4.5.7 Practical Code Generation—Hardware Implementation

The (7,4) code generator matrix in Equation (4.17) produces systematic codewords of the form [d1,d2,d3,d4,c1,c2,c3], where:

c1=d1d2d3;c2=d1d2d4;c3=d1d3d4
(4.22)

Figure 4.13 illustrates one possible hardware implementation of this encoding process using shift registers and modulo-2 adders. This architecture allows high-speed real-time generation of codewords in both digital logic and programmable devices.

Figure 4.13. Generation of a (7,4) linear block code using shift registers and modulo-2 adders.