To address the shortcomings of existing distributed LT DLT codes, we introduce buffer-based DLT codes for a multi-source and multi-relay network to virtually convert lossy source-relay links to corresponding lossless links. An encoding scheme is proposed, which is subsequently used to reduce the error floor. By using this site, you agree to the Terms of Use and Privacy Policy. For example, if the relative reception overhead is 0. An algorithm is developed based on the extrinsic information transfer EXIT chart to obtain optimized degree distributions of LT coded differential modulator systems in terms of convergence performance. The invention of turbo codes and the re-discovery of sparse graph codes constitute a milestone in error-correction codes designed for communication and storage systems. When a single encoded symbol is lost, it should not require too much communication and computation among other encoded symbols in order to resurrect the lost symbol.

Liquid Cloud Storage is based on using a large erasure code such as the RaptorQ code specified in IETF RFC which provides significantly better data protection than other systems , using a background repair process which significantly reduces the repair bandwidth requirements compared to other systems , and using a stream data organization which allows fast access to data even when not all encoded symbols are available. This code is able to recover a source block from any set of encoded symbols equal to the number of source symbols in the source block with high probability, and in rare cases from slightly more than the number of source symbols in the source block. In addition, since the bandwidth and communication load between storage nodes can be a bottleneck, codes that allow minimum communication are very beneficial particularly when a node fails and a system reconstruction is needed to achieve the initial level of redundancy. A fountain code is optimal if the original k source symbols can be recovered from any k encoding symbols. In that respect, fountain codes are expected to allow efficient repair process in case of a failure:

The results presented rate,ess this thesis aim at providing insight into the fundamental design of rateless codes, which could serve as a guideline for the optimal design of rateless codes in real-world applications.

The second part of the thesis deals with the analysis and design of rateless codes for multi-point communication. The first part considers the analysis and design of rateless codes for point-to-point communication.

In fact, repair latency might rateleess be more important than storage space savings. A different approach to distributed storage using fountain codes has been proposed in Liquid Cloud Storage [7] [8]. For complexity-constrained applications, we construct low-complexity LT codes and devise a reduced-complexity LT decoder for transmission over noisy channels.

An algorithm is developed based on the extrinsic information transfer EXIT chart to obtain optimized degree distributions of LT coded differential modulator systems in terms of convergence performance. Thesis kB downloads.

Using a fountain code, it suffices for a receiver to retrieve any subset of encoding symbols of size slightly larger than the set of source symbols. To this end, we commence by considering the concatenation of Luby transform LT codes, which were the first practical realization of rateless codes, with differential modulators to exploit the inherent coding gain of differential modulations.

# Fountain code – Wikipedia

Fountain thedis are flexibly applicable at a fixed code rateor where a fixed code rate cannot be determined a priori, and where efficient encoding and decoding of large amounts of data is required. Raptor codes and online codes were subsequently introduced, and achieve linear time encoding and decoding complexity through a pre-coding stage of the input symbols.

In addition, since the bandwidth and communication load between storage nodes can be a bottleneck, codes that allow minimum communication coeds very beneficial particularly when a node fails and a system reconstruction is needed to achieve the initial level of redundancy. One of the ocdes of coding for data storage systems is the systematic form, i. A detailed survey about fountain codes and their applications can be found at.

In that respect, fountain codes are expected to allow efficient repair process in case of a failure: It may include eg previous versions that are now no longer available. To address the shortcomings of existing distributed LT DLT codes, we introduce buffer-based DLT codes for a multi-source and multi-relay network to virtually convert lossy source-relay links to corresponding lossless links.

This code can be used with up to 8, source symbols in a source block, and a total of up to 65, encoded symbols generated for a source block.

The idea is then extended to a multi-way relay network where a linear-programming design framework is outlined for optimizing degree distributions in terms of transmission efficiency. Retrieved from ” https: To address the shortcomings of existing distributed LT DLT codes, we introduce buffer-based DLT codes for a multi-source and multi-relay network to virtually convert lossy source-relay links to corresponding lossless links. Ccodes complexity-constrained applications, we rateelss low-complexity LT codes and devise a reduced-complexity LT decoder for transmission over noisy channels.

The thesis is divided into two parts.

## Fountain code

The number of downloads is the sum of all downloads of full texts. Handbook of Mobile Broadcasting: In coding theoryfountain codes also known as rateless erasure codes are a class of erasure codes with the property that a potentially limitless sequence of encoding symbols can be generated from a given set of source symbols such that the original source symbols can ideally be recovered from any subset of the encoding symbols of size equal to or only slightly larger than the number of source symbols.

This idea is then extended to LT codes for transmission over erasure channels and a design framework is developed to jointly improve the transmission efficiency and erasure floor performance.

Thesis kB downloads. Systematic form enables reading off the message symbols without decoding from a storage unit. Thus due to the rateless property, these codes are suitable for transmission over time varying channels. Coding theory Capacity-approaching codes. An algorithm is developed based on the extrinsic information transfer EXIT chart to obtain optimized degree distributions of LT coded differential modulator systems in terms of convergence performance.

Sparse graph codes such as low-density parity-check codes can offer a performance that approaches the previously elusive Shannon capacity with reasonable practical computational complexity.

By using this site, you agree to the Terms of Use and Privacy Policy. Sparse graph codes such as low-density parity-check codes can offer a performance that approaches the previously elusive Shannon capacity with reasonable practical computational complexity.