Broadband Fading Channels: Signal Burstiness and Capacity
Subramanian, Vijay Gautam
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https://hdl.handle.net/2142/81314
Description
Title
Broadband Fading Channels: Signal Burstiness and Capacity
Author(s)
Subramanian, Vijay Gautam
Issue Date
1999
Doctoral Committee Chair(s)
Hajek, Bruce
Department of Study
Electrical Engineering
Discipline
Electrical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Electronics and Electrical
Language
eng
Abstract
The general wide-sense stationary and uncorrelated scattering (WSSUS) fading channel has a similar behavior in that the capacity per unit energy equals the capacity per unit energy of the AWGN channel with the same signal-to-noise ratio. The fourth-moment cost is generalized to a fourth-order functional called fourthegy which depends on the square of the signal ambiguity function. The capacity per unit fourthegy for WSSUS channels is identified and is finite and nonzero. It follows that signals with small values of fourthegy per unit energy are able to communicate only a small number of bits per unit energy. It shown in this thesis that for wideband fading channels the nonbursty direct-sequence spread spectrum signals have small values of fourthegy per unit energy; therefore, such signals can only achieve small rates of reliable information transfer. This result holds in general for diffuse WSSUS fading channels as well as specular WSSUS fading channels with many multipath components. The accompanying reliability function per unit energy and reliability function per unit fourthegy are also derived.
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