TY - GEN

T1 - The capacity of the frequency/time-selective fading channel

AU - Tulino, Antonia

AU - Caire, Giuseppe

AU - Shamai, Shlomo

AU - Verdú, Sergio

PY - 2010

Y1 - 2010

N2 - We find the capacity of discrete-time channels subject to both frequency-selective and time-selective fading, where the channel output is observed in additive Gaussian noise. A coherent model is assumed where the fading coefficients are known at the receiver. Capacity depends on the first-order distributions of the fading processes in frequency and in time, which are assumed to be independent of each other, and a simple formula is given when one of the processes is iid and the other one is sufficiently mixing. When the frequency-selective fading coefficients are known also to the transmitter, we show that the optimum normalized power spectral density is the waterfilling power allocation for a reduced signal-to-noise ratio, where the gap to the actual signal-to-noise ratio depends on the fading distributions.

AB - We find the capacity of discrete-time channels subject to both frequency-selective and time-selective fading, where the channel output is observed in additive Gaussian noise. A coherent model is assumed where the fading coefficients are known at the receiver. Capacity depends on the first-order distributions of the fading processes in frequency and in time, which are assumed to be independent of each other, and a simple formula is given when one of the processes is iid and the other one is sufficiently mixing. When the frequency-selective fading coefficients are known also to the transmitter, we show that the optimum normalized power spectral density is the waterfilling power allocation for a reduced signal-to-noise ratio, where the gap to the actual signal-to-noise ratio depends on the fading distributions.

KW - Additive Gaussian noise

KW - Channel capacity

KW - Coherent communications

KW - Frequency-flat fading

KW - Frequency-selective fading

KW - OFDM

KW - Random matrices

KW - Waterfilling

UR - http://www.scopus.com/inward/record.url?scp=77954824017&partnerID=8YFLogxK

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U2 - 10.1109/ITWKSPS.2010.5503142

DO - 10.1109/ITWKSPS.2010.5503142

M3 - Conference contribution

AN - SCOPUS:77954824017

SN - 9781424463725

T3 - IEEE Information Theory Workshop 2010, ITW 2010

BT - IEEE Information Theory Workshop 2010, ITW 2010

T2 - IEEE Information Theory Workshop 2010, ITW 2010

Y2 - 6 January 2010 through 8 January 2010

ER -