In this paper, we consider the joint decoding of Raptor codes on a binary input additive white Gaussian noise channel. Raptor codes are rateless fountain codes that have the attractive property of being universal on the binary erasure channel: they can approach arbitrarily close the capacity, independently of the channel parameter. It has been recently shown that Raptor codes are not universal ...

The design of efficient rateless coding schemes for multicast applications in wireless environments is investigated. First, the digital fountain paradigm for non-ergodic channels is introduced by making use of the dynamic-decoding nature of rateless codes that allows them to adapt opportunistically the code rate to the channel realization (assumed unknown at the transmitter). The information th...

We consider the problem of designing codes with flexible rate (referred to as rateless codes), for private distributed matrix-matrix multiplication. A master server owns two matrices $\mathbf {A}$ ...

We present a novel autoencoder-based approach for designing codes that provide unequal error protection (UEP) capabilities. The proposed approach, based on generalization of an autoencoder loss function, provides versatile framework the design message-wise and bit-wise UEP codes. Using associated weight vector, generalized function can be used to trade off probabilities corresponding different ...

Compressed sensing methods using sparse measurement matrices and iterative message-passing recovery procedures are recently investigated due to their low computational complexity and excellent performance. The design and analysis of this class of methods is inspired by a large volume of work on sparsegraph codes such as Low-Density Parity-Check (LDPC) codes and the iterative Belief-Propagation ...

In this paper, we presents the performance measure of the wireless Orthogonal Frequency Division Multiplexing (OFDM) system based on Raptor codes. Different coding techniques are used for the performance evaluation such as convolution code; turbo codes, RS codes and Low density parity check (LDPC) codes. We are using the Raptor codes to evaluate the performance of the wireless OFDM system. Rapt...

Fountain codes have demonstrated great results for the binary erasure channel and have already been incorporated into several international standards to recover lost packets at the application layer. These include multimedia broadcast/multicast sessions and digital video broadcasting on global internet-protocol. The rateless property of Fountain codes holds great promise for noisy channels. The...