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**Harvard**

Dörpinghaus, M., Koliander, G., Durisi, G., Riegler, E. och Meyr, H. (2014) *Oversampling increases the pre-log of noncoherent Rayleigh fading channels*.

** BibTeX **

@article{

Dörpinghaus2014,

author={Dörpinghaus, Meik and Koliander, Günther and Durisi, Giuseppe and Riegler, Erwin and Meyr, Heinrich},

title={Oversampling increases the pre-log of noncoherent Rayleigh fading channels},

journal={IEEE Transactions on Information Theory},

issn={0018-9448},

volume={60},

issue={9},

pages={5673–5681},

abstract={We analyze the capacity of a continuous-time, time- selective, Rayleigh block-fading channel in the high signal-to-noise ratio regime. The fading process is assumed stationary within each block and to change independently from block to block; further- more, its realizations are not known a priori to the transmitter and the receiver (noncoherent setting). A common approach to analyzing the capacity of this channel is to assume that the receiver performs matched filtering followed by sampling at symbol rate (symbol matched filtering). This yields a discrete-time channel in which each transmitted symbol corresponds to one output sample. Liang & Veeravalli (2004) showed that the capacity of this discrete- time channel grows logarithmically with the signal-to noise ratio (SNR), with a capacity pre-log equal to 1 − Q/N . Here, N is the number of symbols transmitted within one fading block, and Q is the rank of the covariance matrix of the discrete-time channel gains within each fading block. In this paper, we show that sym- bol matched filtering is not a capacity-achieving strategy for the underlying continuous-time channel. Specifically, we analyze the capacity pre-log of the discrete-time channel obtained by oversam- pling the continuous-time channel output, i.e., by sampling it faster than at symbol rate. We prove that by oversampling by a factor two one gets a capacity pre-log that is at least as large as 1 − 1/N . Since the capacity pre-log corresponding to symbol-rate sampling is 1−Q/N , our result implies indeed that symbol matched filtering is not capacity achieving at high SNR.},

year={2014},

}

** RefWorks **

RT Journal Article

SR Electronic

ID 202152

A1 Dörpinghaus, Meik

A1 Koliander, Günther

A1 Durisi, Giuseppe

A1 Riegler, Erwin

A1 Meyr, Heinrich

T1 Oversampling increases the pre-log of noncoherent Rayleigh fading channels

YR 2014

JF IEEE Transactions on Information Theory

SN 0018-9448

VO 60

IS 9

AB We analyze the capacity of a continuous-time, time- selective, Rayleigh block-fading channel in the high signal-to-noise ratio regime. The fading process is assumed stationary within each block and to change independently from block to block; further- more, its realizations are not known a priori to the transmitter and the receiver (noncoherent setting). A common approach to analyzing the capacity of this channel is to assume that the receiver performs matched filtering followed by sampling at symbol rate (symbol matched filtering). This yields a discrete-time channel in which each transmitted symbol corresponds to one output sample. Liang & Veeravalli (2004) showed that the capacity of this discrete- time channel grows logarithmically with the signal-to noise ratio (SNR), with a capacity pre-log equal to 1 − Q/N . Here, N is the number of symbols transmitted within one fading block, and Q is the rank of the covariance matrix of the discrete-time channel gains within each fading block. In this paper, we show that sym- bol matched filtering is not a capacity-achieving strategy for the underlying continuous-time channel. Specifically, we analyze the capacity pre-log of the discrete-time channel obtained by oversam- pling the continuous-time channel output, i.e., by sampling it faster than at symbol rate. We prove that by oversampling by a factor two one gets a capacity pre-log that is at least as large as 1 − 1/N . Since the capacity pre-log corresponding to symbol-rate sampling is 1−Q/N , our result implies indeed that symbol matched filtering is not capacity achieving at high SNR.

LA eng

DO 10.1109/TIT.2014.2339820

LK http://dx.doi.org/10.1109/TIT.2014.2339820

LK http://publications.lib.chalmers.se/records/fulltext/202152/local_202152.pdf

OL 30