Information Theory of underspread WSSUS channels
Book chapter, 2011

The chapter focuses on the ultimate limit on the rate of reliable communication through Rayleigh-fading channels that satisfy the wide-sense stationary (WSS) and uncorrelated scattering (US) assumptions and are underspread. Therefore, the natural setting is an information-theoretic one, and the performance metric is channel capacity. The family of Rayleigh-fading underspread WSSUS channels constitutes a good model for real-world wireless channels: their stochastic properties, like amplitude and phase distributions match channel measurement results. The Rayleigh-fading and the WSSUS assumptions imply that the stochastic properties of the channel are fully described by a two-dimensional power spectral density (PSD) function, often referred to as scattering function. The underspread assumption implies that the scattering function is highly concentrated in the delay-Doppler plane. Two important aspects need to be accounted for by a model that aims at being realistic: neither the transmitter nor the receiver knows the realization of the channel; and the peak power of the transmit signal is limited. Based on these two aspects the chapter provides an information-theoretic analysis of Rayleigh-fading underspread WSSUS channels in the noncoherent setting, under the additional assumption that the transmit signal is peak-constrained.


Giuseppe Durisi

Chalmers, Signals and Systems, Communication, Antennas and Optical Networks

Veniamin I. Morgenshtern

Swiss Federal Institute of Technology in Zürich (ETH)

Helmut Bölcskei

Swiss Federal Institute of Technology in Zürich (ETH)

Ulrich G. Schuster


Shlomo Shamai (Shitz)

Technion – Israel Institute of Technology

Wireless Communications over Rapidly Time-Varying Channels

978-0-12-374483-8 (ISBN)

Areas of Advance

Information and Communication Technology

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9/6/2018 1