What is ergodic capacity in wireless communication?

What is ergodic capacity in wireless communication?

This is also referred to as ergodic capacity since it is the average of the instanta- neous capacity for an AWGN channel with SNR γ given by B log2(1 + γ). 2) Outage capacity: Outage capacity is used for slowly varying channels where the instantaneous SNR γ is assumed to be constant for a large number of symbols.

What is capacity with outage?

The outage capacity is defined as the maxi- mum data rate that can be achieved given a specified outage probability, i.e. the probability that a signal is not properly decoded. Therefore, there is an optimal outage probability value which maximises the outage capacity. The outage capacity was developed by Claude E.

How do I know my channel capacity?

According to channel capacity equation, C = B log(1 + S/N), C-capacity, B-bandwidth of channel, S-signal power, N-noise power, when B -> infinity (read B ‘tends to’ infinity), capacity saturates to 1.44S/N.

How do you find the probability of an outage?

As C is random, no constant rate is available. There may be a chance that information rate may go below to required threshold level. For slow fading channel, outage probability = P(C < r) = P(log2(1 + h2 SNR) < r), where r is the required threshold information rate.

How is ergodic capacity related to channel capacity?

Ergodic capacity is related to channel capacity. it is same as Shanon channel capacity. It is the average capacity of the channel (irrespective of deep fading or slow fading) When Channel state information (CSI) is not available at transmitter then transmitted data experienced fading then effective channel capacity is reduced.

Is the spectral efficiency the same as the capacity?

And the results you get may be reminiscent of the capacity since under certain conditions, the schemes can get somewhat close to it. It is still not the same. Capacity is a property of a channel, spectral efficiency is a property of a transmission scheme (modulation and coding scheme).

What is the ergodic capacity of a MIMO system?

For MIMO system ergodic capacity is: Where rho is SNR, W is bandwdith, I is identity matrix and N_T is number of transmit antennas and H is MIMO channel matrix. When Channel state information (CSI) is not available at transmitter then transmitted data experienced fading then effective channel capacity is reduced.

Why is random fading referred to as ergodic capacity?

This is referred to as the ergodic capacity since a stationary ergodic random fading process is required if the statistical properties shall be deducible from a single sequence of channel realizations.

What is channel capacity in wireless communication?

The channel capacity, C, is defined to be the maximum rate at which information can be transmitted through a channel. Intuitively, in a well-designed message, an isolated channel input symbol ai should occur with a probability pi such that the average mutual information is maximized. …

What is Ergodicity in communication system?

Ergodic processes are signals for which measurements based on a single sample function are sufficient to determine the ensemble statistics. Random signal for which this property does not hold are referred to as non-ergodic processes.

What is the ergodic capacity?

Ergodic capacity is the upper bound of the capacity on the statistics channel (i.e. time-varying channel). It can be evaluated by averaging the capacity is obtained at a particular time instance on a fading channel over an infinite time interval.

How do you show an ergodic process?

Consider a 1st order stationary random process X(t), and its particular realization x(t). If the mean value of the process can be obtained as an average over time of this single realization, i.e. the process X(t) is said to be ergodic with respect to mean value.