摘要: Shannon'sShannon's capacity theorem channel coding theorem concerns the possibility of communicating via a noisy channel with an arbitrarily small probability of error. Its proof is based onDOI: 10.1007/978-3-319-43476-6_12 年份: 2017 ...
内容提示: Chapter 12Shannon’s Capacity Theorem12.1 More Information-theoretic Quantities12.1.1 Conditional EntropyShannon’s channel coding theorem concerns the possibility of communicating via anoisy channel with an arbitrarily small probability of error. Its proof is based on therandom coding argument,...
Shannon's channel coding theorem concerns the possibility of communicating via a noisy channel with an arbitrarily small probability of error. Its proof is based on the random coding argument, perhaps the first occurence of the probabilistic method (Chapter ).These keywords were added by machine ...
香农第一定理与编码效率(Shannon's First Theorem and Coding Efficiency) 在讨论数据压缩的实际应用之前,了解香农第一定理的概念对于深入理解信息论至关重要。这一定理,也被称为香农的噪声无关编码定理(Shannon's Noiseless Coding Theorem),是香农在信息论中的一个重要成就。它为理解编码效率提供了理论基础。 香农第...
aChannel Coding: The Road to Channel Capacity[translate] aABSTRACT | Starting from Shannon’s celebrated 1948 channel coding theorem, we trace the evolution of channel coding from Hamming codes to capacity approaching codes. We focus on the contributions that have led to the most significant improv...
The novelty of the above expression is that, from Shannon, this is the upper bound for asymptotically error-free communication (see [56] Theorem 11). If symbols take different amounts of time to transit a channel, the formula for capacity is replaced by 𝐶𝑡Ct, with units in bits/time...
Shannon’s noisy channel coding theorem is a generic framework that can be applied to specific scenarios of communication. For example, communication through a band-limited channel in presence of noise is a basic scenario one wishes to study. Therefore, study of information capacity over an AWGN ...
theory made more intentional connections with a focus on network synthesis. With Shannon’s simplified arrangements of electromechanical relays, such as those used in telephone switches, electrical switches could perform logic. This ability laid the foundations for the basic functions of a computer. ...
regardless of technology. This maximum capacity was which is determined by the same underlying principles of information theory developed byClaude Shannon during World War II, known as Shannon-Hartley theorem or Shannon’s Law. Shannon’s Law states that This capacity relationship can be stated as:...
s Limit is only talking about the capacity of a fiber. You can still provide significantly improved economics. You can keep doing incrementally improved economics and network value by building an individual laser, a transceiver, that can do more, that can do more with less power in less space...