TY - GEN
T1 - Capacity of the discrete-time non-coherent memoryless Gaussian channels at low SNR
AU - Rezki, Z.
AU - Haccoun, David
AU - Gagnon, François
PY - 2008
Y1 - 2008
N2 - We address the capacity of a discrete-time memoryless Gaussian channel, where the channel state information (CSI) is neither available at the transmitter nor at the receiver. The optimal capacityachieving input distribution at low signal-to-noise ratio (SNR) is precisely characterized, and the exact capacity of a non-coherent channel is derived. The derived relations allow to better understanding the capacity of non-coherent channels at low SNR. Then, we compute the noncoherence penalty and give a more precise characterization of the sublinear term in SNR. Finally, in order to get more insight on how the optimal input varies with SNR, upper and lower bounds on the non-zero mass point location of the capacity-achieving input are given.
AB - We address the capacity of a discrete-time memoryless Gaussian channel, where the channel state information (CSI) is neither available at the transmitter nor at the receiver. The optimal capacityachieving input distribution at low signal-to-noise ratio (SNR) is precisely characterized, and the exact capacity of a non-coherent channel is derived. The derived relations allow to better understanding the capacity of non-coherent channels at low SNR. Then, we compute the noncoherence penalty and give a more precise characterization of the sublinear term in SNR. Finally, in order to get more insight on how the optimal input varies with SNR, upper and lower bounds on the non-zero mass point location of the capacity-achieving input are given.
UR - http://www.scopus.com/inward/record.url?scp=52349109090&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2008.4594960
DO - 10.1109/ISIT.2008.4594960
M3 - Conference contribution
AN - SCOPUS:52349109090
SN - 9781424422579
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 121
EP - 125
BT - Proceedings - 2008 IEEE International Symposium on Information Theory, ISIT 2008
T2 - 2008 IEEE International Symposium on Information Theory, ISIT 2008
Y2 - 6 July 2008 through 11 July 2008
ER -