NDLI: Asymptotic Behavior of Error Exponents in the Wideband Regime

Content Provider	IEEE Xplore Digital Library
Author	Xinzhou Wu Srikant, R.
Copyright Year	1963
Abstract	In this paper, we investigate the fundamental tradeoff between rate and bandwidth when a constraint is imposed on the error exponent. Specifically, we consider both additive white Gaussian noise (AWGN) and Rayleigh-fading channels where the input symbols are assumed to have a peak constraint. For the AWGN channel model, the optimal values of R_z(0) and R_z(0) are calculated, where R_z(1/B) is the maximum rate at which information can be transmitted over a channel with bandwidth B when the error-exponent is constrained to be greater than or equal to z. The computation of R_z(0) follows Gallager's infinite-bandwidth reliability function computation, while the computation of R_z(0) is new and parallels Verdu's second-order calculation for channel capacity. Based on these calculations, we say that a sequence of input distributions is near optimal if both R_z(0) and R_z(0) are achieved. We show that quaternary phase-shift keying (QPSK), a widely used signaling scheme, is near optimal within a large class of input distributions for the AWGN channel. Similar results are also established for a fading channel where full channel side information (CSI) is available at the receiver
Sponsorship	IEEE Information Theory Society
Starting Page	1310
Ending Page	1325
Page Count	16
File Size	416146
File Format	PDF
ISSN	00189448
Volume Number	53
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-04-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Wideband Concurrent computing Bandwidth AWGN channels Additive white noise Rayleigh channels Channel capacity Phase shift keying Quadrature phase shift keying Fading wideband Error exponent low signal-to-noise ratio (SNR) near-optimality signaling
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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