Full-text (PDF) To encode a sequence of information using cyclic encoder of specifi- cation[7,4] and also implement its decoder at the receiver side using hardware. Cyclic Codes Yunghsiang S. Han Graduate Institute of Communication Engineering, National Taipei University Taiwan E-mail: yshan@mail.ntpu.edu.tw.

For Specific Syntaxes code = encode(msg,n,k,' linear/ fmt',genmat) encodes msg using genmat as the generator matrix for the linear block encoding method. Genmat, a k-by- n matrix, is required as input. Code = encode(msg,n,k,' cyclic/ fmt',genpoly) encodes msg and creates a systematic cyclic code.

Genpoly is a or a row vector that gives the coefficients, in order of ascending powers, of the binary generator polynomial. The default value of genpoly is (n,k). By definition, the generator polynomial for an [n,k] cyclic code must have degree n-k and must divide x n-1. Code = encode(msg,n,k,' hamming/ fmt',prim_poly) encodes msg using the Hamming encoding method. Elvenstar 5.8. For this syntax, n must have the form 2 m-1 for some integer m greater than or equal to 3, and k must equal n-m. Prim_poly is a or a row vector that gives the binary coefficients, in order of ascending powers, of the primitive polynomial for GF(2 m) that is used in the encoding process. The default value of prim_poly is the default primitive polynomial (m). Earth 2 Special Low Frequency Version Zip.

Code = encode(msg,n,k) is the same as code = encode(msg,n,k,'hamming/binary'). [code,added] = encode(.) returns the additional variable added. Added is the number of zeros that were placed at the end of the message matrix before encoding in order for the matrix to have the appropriate shape. “Appropriate” depends on n, k, the shape of msg, and the encoding method.