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    • 8. 发明申请
    • METHODS AND SYSTEMS FOR DECODING POLAR CODES
    • 用于解码极性代码的方法和系统
    • US20160056843A1
    • 2016-02-25
    • US14930879
    • 2015-11-03
    • Warren GrossGabi Sarkis
    • Warren GrossGabi Sarkis
    • H03M13/39H03M13/00G06F17/16G06F17/14H03M13/15G06F17/30
    • H03M13/3927G06F17/10G06F17/142G06F17/16G06F17/30958G06F17/30961H03M13/1111H03M13/1191H03M13/13H03M13/157H03M13/1575H03M13/617H03M13/6561H03M13/6563H03M13/6577
    • Coding within noisy communications channels is essential but a theoretical maximum rate defines the rate at which information can be reliably transmitted on this noisy channel. Capacity-achieving codes with an explicit construction eluded researchers until polar codes were proposed. However, whilst asymptotically reaching channel capacity these require increasing code lengths, and hence increasingly complex hardware implementations. It would be beneficial to address architectures and decoding processes to reduce polar code decoder complexity both in terms of the number of processing elements required, but also the number of memory elements and the number of steps required to decode a codeword. Beneficially architectures and design methodologies established by the inventors address such issues whilst reducing overall complexity as well as providing methodologies for adjusting decoder design based upon requirements including, but not limited to, cost (e.g. through die area) and speed (e.g. through latency, number of cycles, number of elements etc).
    • 噪声通信信道中的编码是必不可少的,但是理论上的最大速率定义了在这个噪声信道上可靠地发送信息的速率。 在提出极性代码之前,具有明确结构的能力实现代码不包括研究人员。 然而,虽然渐近地达到信道容量,但这些需要增加代码长度,并因此增加复杂的硬件实现。 解决架构和解码过程将有利于在所需的处理元件的数量方面降低极性码解码器的复杂性,而且还要解码码字所需的存储器元件的数量和步骤的数量。 本发明人建立的有利的架构和设计方法解决了这样的问题,同时降低了整体的复杂性,并且提供了基于需求来调整解码器设计的方法,包括但不限于成本(例如,通过管芯面积)和速度(例如通过延迟,数量 周期数,元素数等)。
    • 9. 发明授权
    • Decoding of linear codes with parity check matrix
    • 用奇偶校验矩阵解码线性码
    • US08108760B2
    • 2012-01-31
    • US12503607
    • 2009-07-15
    • Warren J. GrossShie MannorGabi Sarkis
    • Warren J. GrossShie MannorGabi Sarkis
    • H03M13/00
    • H03M13/1171H04L1/0057
    • A decoding method and system for stochastic decoding of linear codes with the parity check matrix comprising elements of a Galois field is provided. Each encoded sample of a set of encoded samples is first scaled by a scaling factor proportional to a noise level of the set of encoded samples. Each of the scaled encoded samples is then converted into a corresponding probability. For each probability a corresponding probability message is the generated by encoding each probability as a sequence of symbols or bits. Each probability message is then provided to a respective variable node of a logic circuitry for stochastic decoding. The logic circuitry represents a factor graph of the parity check matrix of the linear code. Using the logic circuitry each probability message is passed through the factor graph by performing for each received symbol at the variable nodes the equality function, at the permutation nodes one of multiplication and division, and at the parity check nodes the parity check function, wherein each of the variable nodes provides an output symbol in dependence upon each received symbol.
    • 提供了一种具有包括伽罗瓦域元素的奇偶校验矩阵的线性码随机解码的解码方法和系统。 一组编码样本的每个编码样本首先按照与编码样本集合的噪声电平成比例的缩放因子来缩放。 然后将每个经缩放的编码样本转换成相应的概率。 对于每个概率,相应的概率消息是通过将每个概率编码为符号或比特的序列而生成的。 然后将每个概率消息提供给用于随机解码的逻辑电路的相应可变节点。 逻辑电路表示线性码的奇偶校验矩阵的因子图。 使用逻辑电路,通过对可变节点处的每个接收到的符号执行相等函数,在置换节点乘法和除法之一以及奇偶校验节点处执行奇偶校验功能,将每个概率消息传递通过因子图,其中每个 可变节点根据每个接收的符号提供输出符号。