Asymptotic Spectra of Hermitian Block Toeplitz Matrices and Preconditioning Results
SIAM Journal on Matrix Analysis and Applications
Noncoherent capacity of underspread fading channels
IEEE Transactions on Information Theory
Analysis, Optimization, and Implementation of Low-Interference Wireless Multicarrier Systems
IEEE Transactions on Wireless Communications
The capacity of discrete-time memoryless Rayleigh-fading channels
IEEE Transactions on Information Theory
The worst additive noise under a covariance constraint
IEEE Transactions on Information Theory
On the asymptotic capacity of stationary Gaussian fading channels
IEEE Transactions on Information Theory
Degrees of freedom in some underspread MIMO fading channels
IEEE Transactions on Information Theory
Capacity bounds for peak-constrained multiantenna wideband channels
IEEE Transactions on Communications
Noncoherent capacity of underspread fading channels
IEEE Transactions on Information Theory
On the spectral efficiency of noncoherent doubly selective block-fading channels
IEEE Transactions on Information Theory
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The noncoherent capacity of stationary discrete-time fading channels is known to be very sensitive to the fine details of the channel model. More specifically, the measure of the set of harmonics where the power spectral density of the fading process is nonzero determines if capacity grows logarithmically in SNR or slower than logarithmically. An engineering-relevant problem is to characterize the SNR value at which this sensitivity starts to matter. In this paper, we consider the general class of continuous-time Rayleigh-fading channels that satisfy the wide-sense stationary uncorrelated-scattering (WSSUS) assumption and are, in addition, underspread. For this class of channels, we show that the noncoherent capacity is close to the AWGN capacity for all SNR values of practical interest, independently of whether the scattering function is compactly supported or not. As a byproduct of our analysis, we obtain an information-theoretic pulse-design criterion for orthogonal frequency-division multiplexing systems.