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An introduction to signal detection and estimation (2nd ed.)
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SIAM Journal on Matrix Analysis and Applications
Analysis and Design of Analog Integrated Circuits
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Wireless Communications: Principles and Practice
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Information Theory and Reliable Communication
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Toeplitz and circulant matrices: a review
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On-off frequency-shift keying for wideband fading channels
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On the sensitivity of noncoherent capacity to the channel model
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
Capacity bounds for peak-constrained multiantenna wideband channels
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A theorem on the asymptotic eigenvalue distribution ofToeplitz-block-Toeplitz matrices
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Analysis, Optimization, and Implementation of Low-Interference Wireless Multicarrier Systems
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Ultrawideband Channel Modeling on the Basis of Information-Theoretic Criteria
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Fading channels: information-theoretic and communications aspects
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The capacity of discrete-time memoryless Rayleigh-fading channels
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Bandwidth scaling for fading multipath channels
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Spectral efficiency in the wideband regime
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Maximum-diversity transmissions over doubly selective wireless channels
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Second-order asymptotics of mutual information
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On the asymptotic capacity of stationary Gaussian fading channels
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Channel Uncertainty in Ultra-Wideband Communication Systems
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Capacity Results for Block-Stationary Gaussian Fading Channels With a Peak Power Constraint
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On the sensitivity of noncoherent capacity to the channel model
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
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Capacity bounds for peak-constrained multiantenna wideband channels
IEEE Transactions on Communications
Concise derivation of scattering function from channel entropy maximization
IEEE Transactions on Communications
Information-theoretic analysis of underwater acoustic OFDM systems in highly dispersive channels
Journal of Electrical and Computer Engineering - Special issue on Underwater Communications and Networking
Advances in Computational Mathematics
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We derive bounds on the noncoherent capacity of wide-sense stationary uncorrelated scattering (WSSUS) channels that are selective both in time and frequency, and are underspread, i.e., the product of the channel's delay spread and Doppler spread is small. The underspread assumption is satisfied by virtually all wireless communication channels. For input signals that are peak constrained in time and frequency, we obtain upper and lower bounds on capacity that are explicit in the channel's scattering function, are accurate for a large range of bandwidth, and allow to coarsely identify the capacity-optimal bandwidth as a function of the peak power and the channel's scattering function. We also obtain a closed-form expression for the first-order Taylor series expansion of capacity in the infinite-bandwidth limit, and show that our bounds are tight in the wideband regime. For input signals that are peak constrained in time only (and, hence, allowed to be peaky in frequency), we provide upper and lower bounds on the infinite-bandwidth capacity. Our lower bound is closely related to a result by Viterbi (1967). We find cases where the bounds coincide and, hence, the infinite-bandwidth capacity is characterized exactly. The analysis in this paper is based on a discrete-time discretefrequency approximation of WSSUS time- and frequency-selective channels. This discretization takes the underspread property of the channel explicitly into account.