Binary multilevel coset codes based on Reed-Muller codes

Binary multilevel convolutional codes with unequal error protection capabilities

“…A Two-Stage Decoding Procedure: For practical applications, in order to reduce the complexity of Viterbi decoding (at the expense of an increased error coefficient or degradation in coding gain [3], [6]), suboptimal two-stage decoding (TSD) may be adopted. Coded bits are Binary phase-shift keying (BPSK)-modulated and transmitted over an additive white Gaussian noise (AWGN) channel.…”

“…Convolutional UEP codes based on the GC code construction are generalizations of the two-level convolutional codes (CC's) introduced independently by Pellizzoni and Spalvieri [3] and by Hattori and Saitoh [4], and then studied in [5] and [6]. Moreover, multistage decoding procedures can be devised for convolutional UEP codes as a natural generalization of the two-stage decoding of CC's [3]- [6].…”

“…Moreover, multistage decoding procedures can be devised for convolutional UEP codes as a natural generalization of the two-stage decoding of CC's [3]- [6]. In [3] and [4] multilevel coset (or "superimposed") codes with outer CC's are presented.…”

“…Moreover, multistage decoding procedures can be devised for convolutional UEP codes as a natural generalization of the two-stage decoding of CC's [3]- [6]. In [3] and [4] multilevel coset (or "superimposed") codes with outer CC's are presented. In [3] two-level CC's were constructed and shown to offer improved error performance, with reduced decoding complexity, compared to previously known codes with the same number of states.…”

“…In [3] and [4] multilevel coset (or "superimposed") codes with outer CC's are presented. In [3] two-level CC's were constructed and shown to offer improved error performance, with reduced decoding complexity, compared to previously known codes with the same number of states. A construction using punctured convolutional (PC) codes as component codes in the construction was proposed in [4].…”