We will also detail how the framework can lead to closed form analytical solutions, such as in the case of binary erasure channel with no repeated ones, the trapdoor/chemical channel, the Ising channel and the Dicode channel.
In [31], Kraidy et al. used a progressive edge growth-based interleaver for irregular TCs to lower the floor in the case of binary erasure channels.
Regarding the DR behavior of binary polymer solutions, very limited work is reported in the literature.
Recently, it has been shown that regular spatially coupled low-density parity-check (SC-LDPC) achieve capacity of the binary erasure channel (BEC) [13] and of general binary-input memoryless output-symmetric channel [14] under sliding-window message-passing decoding.
In order to model the data corruption/loss process, we adapt the concept of the binary erasure channel.
The channel model is illustrated in Figure 2. In some parts of the paper, a block binary erasure channel (block BEC) [19, 20] will be assumed, which is a special case of block fading.
After IBP iterations are performed and decoding is not successful, instead of declaring a decoding failure, the resulting N-tuple ξ ̂ of reliability values is used by an artificially created binary erasure channel (BEC) [7] to produce an N-tuple z of 0's, 1's, and erasures.
In [17], SC-LDPC codes were used in a decode-and-forward scheme for a network consisting of two sources, one relay and one destination, connected by binary erasure channels.
Since packet transmission at higher layers behaves similarly to a binary erasure channel (BEC), this offers a perfect opportunity for implementation of raptor codes.
Based on noise and fading effects of satellite channels, the LT packets received from an LDPC decoder either have no error or are marked as erased, which can be modeled as a binary erasure channels (BECs).
