Name
Abstract | ||
|---|---|---|
A formula for the second-order expansion of the input-output mutual information of multidimensional channels as the signal-to-noise ratio (SNR) goes to zero is obtained. While the additive noise is assumed to be Gaussian, we deal with very general classes of input and channel distributions. As special cases, these channel models include fading channels, channels with random parameters, and channels with almost Gaussian noise. When the channel is unknown at the receiver, the second term in the asymptotic expansion depends not only on the covariance matrix of the input signal but also on the fourth mixed moments of its components. The study of the second-order asymptotics of mutual information finds application in the analysis of the bandwidth-power tradeoff achieved by various signaling strategies in the wideband regime. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1109/TIT.2004.831784 | IEEE Transactions on Information Theory |
Keywords | Field | DocType |
second order,asymptotic expansion,mutual information,channel capacity,covariance matrix,gaussian noise,fading channel,input output,signal to noise ratio,information theory | Information theory,Statistical physics,Discrete mathematics,Fading,Signal-to-noise ratio,Gaussian,Mutual information,Covariance matrix,Statistics,Gaussian noise,Channel capacity,Mathematics | Journal |
Volume | Issue | ISSN |
50 | 8 | 0018-9448 |
Citations | PageRank | References |
61 | 4.52 | 11 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vyacheslav V. Prelov | 1 | 145 | 29.59 |
| Sergio Verdú | 2 | 3956 | 360.80 |