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Outage Probability at Arbitrary SNR in Cooperative Diversity Networks
 

Summary: Outage Probability at Arbitrary SNR in Cooperative
Diversity Networks
Yi Zhao, Raviraj Adve and Teng Joon Lim
Abstract
Cooperative diversity improves the performance of wireless networks by having several nodes transmit the
same information. We present an outage probability analysis for a decode-and-forward system, valid at all signal to
noise ratios (SNR). A closed form solution is obtained for independent and identically distributed (i.i.d.) channels,
and two tight lower bounds are presented for correlated channels.
I. INTRODUCTION
Cooperation helps create spatial diversity in wireless networks, even if individual nodes do not use
antenna arrays for transmission or reception [1], [2]. While asymptotic (in SNR) performance analysis
highlights the diversity order achievable by various techniques, it is also important to study performance
in the non-asymptotic or finite SNR regime so as to compare various schemes in practical settings. In this
letter, we derive the exact outage probability of the decode-and-forward scheme1
for arbitrary signal-to-
noise ratio (SNR) by using two powerful mathematical tools: Moment Generating Function (MGF) and
Order Statistics. We derive an exact closed-form expression for i.i.d. channels, and introduce simple lower
bounds for non-i.i.d. channels. Simulation results show that those bounds are very tight.
As an example of the utility of our results, consider that Laneman and Wornell proved in [1] that both
the decode-and-forward and the space-time-coded cooperation can provide "full diversity" in the sense that

  

Source: Adve, Raviraj - Department of Electrical and Computer Engineering, University of Toronto

 

Collections: Engineering