Error-control Coding and Applications |
Common terms and phrases
A₁ a₂ addition BCH codes binary digits block codes branch burst of length burst-correcting channel symbol Chapter check digits code word coefficients column components computation constraint length convolutional codes correct corresponding cyclic code data bit decision decoding algorithm defined demodulator denote dfree discussion dmin EB/No elements equation error vector error-control encoder Example Fano algorithm field finite free distance G₁ GF(q Hamming distance i-th row information digits input integers inverse linear code linear combinations matrix memoryless channel minimal polynomial minimum distance modulation multiplication n-tuple node non-zero operation orthogonal parity parity-check parity-check matrix polynomial probability properties quantization R-S codes Rcomp received sequence received vector Reed-Solomon result scalar sent sequential decoding shift register shown in Figure signal stack algorithm storage systematic code techniques threshold decoding tion transmitted trellis trial sequence U₁ V₁ V₂ vector space Viterbi decoding x₁ αι