High-SNR analysis of outage-limited communications with bursty and delay-limited information

  • Authors:
  • Somsak Kittipiyakul;Petros Elia;Tara Javidi

  • Affiliations:
  • School of Information, Computer and Communication Techn., Sirindhorn International Institute of Technology, Thammasat University, Pathum Thani, Thailand and Electrical and Computer Engineering Dep ...;Mobile Communications System Department, EURECOM, Sophia-Antipolis Cedex, France and Electrical and Computer Engineering Department, Univ. of California, San Diego, La Jolla, CA;Electrical and Computer Engineering Department, University of California, San Diego, La Jolla, CA

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2009

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Abstract

This work analyzes the high-SNR asymptotic error performance of outage-limited communications with fading, where the number of bits that arrive at the transmitter during any timeslot is random but the delivery of bits at the receiver must adhere to a strict delay limitation. Specifically, bit errors are caused by erroneous decoding at the receiver or violation the strict delay constraint. Under certain scaling of the statistics of the bit-arrival process with SNR, this paper shows that the optimal decay behavior of the asymptotic total probability of bit error depends on how fast the burstiness of the source scales down with SNR. If the source burstiness scales down too slowly, the total probability of error is asymptotically dominated by delay-violation events. On the other hand, if the source burstiness scales down too quickly, the total probability of error is asymptotically dominated by channel-error events. However, at the proper scaling, where the burstiness scales linearly with 1/√log SNR and at the optimal coding duration and transmission rate, the occurrences of channel errors and delay-violation errors are asymptotically balanced. In this latter case, the optimal exponent of the total probability of error reveals a tradeoff that addresses the question of how much of the allowable time and rate should be used for gaining reliability over the channel and how much for accommodating the burstiness with delay constraints.