Channel Capacity

Information theory - Channel capacity 1 The appropriate measure for this is the mutual information, and this maximum mutual information is called the channel capacity and is given by:

Information theory - Channel capacity 1 Channel coding is concerned with finding such nearly optimal codes that can be used to transmit data over a noisy channel with a small coding error at a rate near the channel capacity.

Quantum channel - Definition of Channel Capacity 1 The channel capacity of with respect to, denoted by is the supremum of all achievable rates.

Channel capacity 1 In electrical engineering, computer science and information theory, 'channel capacity' is the tightest upper bound on the rate of information that can be reliably transmitted over a channel (communications)|communications channel. By the noisy-channel coding theorem, the channel capacity of a given Channel (communications)|channel is the limiting information rate (in units of information entropy|information per unit time) that can be achieved with arbitrarily small error probability.

Channel capacity 1 Information theory, developed by Claude E. Shannon during World War II, defines the notion of channel capacity and provides a mathematical model by which one can compute it. The key result states that the capacity of the channel, as defined above, is given by the maximum of the mutual information between the input and output of the channel, where the maximization is with respect to the input distribution.

Channel capacity - Formal definition 1 which, in turn, induces a mutual information I(X;Y). The 'channel capacity' is defined as

Channel capacity - Noisy-channel coding theorem 1 The noisy-channel coding theorem states that for any ε gt; 0 and for any information theory#Rate|rate R less than the channel capacity C, there is an encoding and decoding scheme that can be used to ensure that the probability of decoding error is less than ε for a sufficiently large block length. Also, for any rate greater than the channel capacity, the probability of error at the receiver goes to one as the block length goes to infinity.

Channel capacity - Example application 1 An application of the channel capacity concept to an additive white Gaussian noise (AWGN) channel with B Hz Bandwidth (signal processing)|bandwidth and signal-to-noise ratio S/N is the Shannon–Hartley theorem:

Channel capacity - Channel capacity in wireless communications 1 This section focuses on the single- antenna, point-to-point scenario. For channel capacity in systems with multiple antennas, see the article on MIMO.

Cooperative diversity - Channel Capacity of Cooperative Diversity 1 In June 2005, A. Høst-Madsen published a paper in-depth analyzing the channel capacity of the cooperative relay network.

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