摘要:
In a transport system, data is reliably transported from a sender to a receiver by organizing the data to be transported into data blocks, wherein each data block comprises a plurality of encoding units, transmitting encoding units of a first data block from the sender to the receiver, and detecting, at the sender, acknowledgments of receipt of encoding units by the receiver. At the sender, a probability that the receiver received sufficient encoding units of the first data block to recover the first data block at the receiver is detected and the probability is tested against a threshold probability to determine whether a predetermined test is met. Following the step of testing and prior to the sender receiving confirmation of recovery of the first data block at the receiver, when the predetermined test is met, transmitting encoding units of a second data block from the sender. If an indication of failure to recover the first data block is received at the sender, sending further encoding units for the first data block from the sender to the receiver. In some embodiments, the predetermined test is a comparison of the probability against the threshold probability and the predetermined test is met when the probability is greater than the threshold probability.
摘要:
Efficient methods for encoding and decoding Half-Weight codes are disclosed and similar high density codes are disclosed. The efficient methods require at most 3·(k−1)+h/2+1 XORs of symbols to calculate h Half-Weight symbols from k source symbols, where h is of the order of log(k).
摘要翻译:有效的编码和解码方法公开半重码,并公开类似的高密度码。 有效的方法需要至多3(k-1)+ h / 2 + 1个符号XOR来计算h个k个符号的半重符号,其中h是log(k)的数量级。
摘要:
A method of encoding data for transmission from a source to a destination over a communications channel is provided. A plurality of redundant symbols are generated from an ordered set of input symbols to be transmitted. A plurality of output symbols are generated from a combined set of symbols including the input symbols and the redundant symbols, wherein the number of possible output symbols is much larger than the number of symbols in the combined set of symbols, wherein at least one output symbol is generated from more than one symbol in the combined set of symbols and from less than all of the symbols in the combined set of symbols, and such that the ordered set of input symbols can be regenerated to a desired degree of accuracy from any predetermined number, N, of the output symbols.
摘要:
Transmitters and receivers deal with streams of data, wherein the receiver is expected to begin using received data before receiving all of the data. Concurrent streams are sent and FEC coding is used with the streams and done as an aggregate. The transmitter performs FEC operations over the plurality of streams, wherein source blocks from at least two streams logically associated into a jumbo source block and FEC processing is performed to generate one or more jumbo repair block from the jumbo source block. Each of the source blocks comprises one or more source symbols from their respective stream. The jumbo source symbols can be of constant size and are suitably aligned along size boundaries that make processing efficient. Each source symbol need not be the same size, and the number of source symbols from each stream in a jumbo source block need not be the same value across streams.
摘要:
A method of serving content to multiple clients via a network is provided. Independent sessions with each of a plurality of clients are maintained, wherein the number of clients in the plurality of clients can vary over time, and wherein the start of each session and the end of each session can be independent of the start and end of other sessions. A stream of packet payloads is received, each packet payload of the stream of packet payloads including data generated from the content, wherein each packet payload in at least a subset of the stream of packet payloads includes a different set of data. Each packet payload in the stream of packet payloads is transmitted to each client of the plurality of clients in corresponding packets, wherein the packet payload transmitted to a client at any particular time is independent of the state of the corresponding session.
摘要:
A method of encoding data for transmission from a source to a destination over a communications channel is provided. A plurality of encoded symbols are generated from a set of input symbols including source symbols and redundant symbols, wherein the input symbols are organized such that at least one of the input symbols is not used for a first encoding process, so that it is permanently inactivated for the purposes of scheduling a decoding process. A method of decoding data is also provided, wherein encoded symbols generated from a set of input symbols are used to recover source symbols, wherein the input symbols are organized such that at least one of the input symbols is not used for a first decoding process, so that it is permanently inactivated for the purpose of scheduling the decoding process.
摘要:
A method of encoding data for transmission from a source to a destination over a communications channel is provided. A plurality of encoded symbols are generated from a set of input symbols including source symbols and redundant symbols, wherein the input symbols are organized such that at least one of the input symbols is not used for a first encoding process, so that it is permanently inactivated for the purposes of scheduling a decoding process. A method of decoding data is also provided, wherein encoded symbols generated from a set of input symbols are used to recover source symbols, wherein the input symbols are organized such that at least one of the input symbols is not used for a first decoding process, so that it is permanently inactivated for the purpose of scheduling the decoding process.
摘要:
In a packet communications system stream data is transported over a channel over which packet loss or corruption is possible, with forward error correction (“FEC”) information. A transmitter receives source packets comprising source data, generates FEC source packets formatted to allow for identification of lost or corrupted source packets at a receiver, arranges source data from the source packets into a plurality of source symbols wherein at least one source packet is arranged into more than one source symbol, associates a plurality of source symbols with a source block, generates a plurality of repair symbols from the source block according to a predetermined FEC encoding process and groups the plurality of repair symbols into one or more FEC repair packets associated with the source block. A receiver can use the FEC repair symbols from the FEC repair packets to recover source symbols, as needed.
摘要:
A method of encoding data for transmission from a source to a destination over a communications channel is provided. A plurality of redundant symbols are generated from an ordered set of input symbols to be transmitted. A plurality of output symbols are generated from a combined set of symbols including the input symbols and the redundant symbols, wherein the number of possible output symbols is much larger than the number of symbols in the combined set of symbols, wherein at least one output symbol is generated from more than one symbol in the combined set of symbols and from less than all of the symbols in the combined set of symbols, and such that the ordered set of input symbols can be regenerated to a desired degree of accuracy from any predetermined number, N, of the output symbols.
摘要:
In a data decoder for decoding data from received symbols received over a channel from an encoder, wherein the received data can include erasures and include source symbols and repair symbols and wherein the decoder uses in decoding a generator matrix, any square submatrix of which is invertible, such that the decoder can perform decoding operations concurrently with the arrival of the source symbols and repair symbols, a method of decoding comprising representing in decoder memory a system of equations derived, at least in part, from the generator matrix, substituting received source symbols into the system of equations as the source symbols are received before receiving all source symbols, identifying, using decoder logic, repair equations to be used for solving the system of equations as repair symbols arrive, calculating, using decoder logic, vector values for equations as source symbols arrive, and converting the system of equations into an upper triangular form as repair symbols arrive at the decoder. Novel methods can be used for interleaving and specifying encoding structure for a large class of FEC codes, scheduling the sending of packets and the like.