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Outage Analysis of Ultra-Wideband System in Lognormal Multipath Fading and Square-Shaped Cellular Configurations

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Generic ultra-wideband (UWB) spread-spectrum system performance is evaluated in centralized and distributed spatial topologies comprising square-shaped indoor cells. Statistical distributions for link distances in single-cell and multicell configurations are derived. Cochannel-interference-induced outage probability is used as a performance measure. The probability of outage varies depending on the spatial distribution statistics of users (link distances), propagation characteristics, user activities, and receiver settings. Lognormal fading in each channel path is incorporated in the model, where power sums of multiple lognormal signal components are approximated by a Fenton-Wilkinson approach. Outage performance of different spatial configurations is outlined numerically. Numerical results show the strong dependence of outage probability on the link distance distributions, number of rake fingers, and path losses.



  1. 1.

    Roy S, Foerster JR, Somayazulu VS, Leeper DG: Ultrawideband radio design: the promise of high-speed, short-range wireless connectivity. Proceedings of the IEEE 2004,92(2):295–311. 10.1109/JPROC.2003.821910

  2. 2.

    PULSERS Integrated Project (IST 506897)

  3. 3.

    Fenton LF: The sum of log-normal probability distributions in scatter transmission systems. IEEE Transactions on Communications 1960,8(1):57–67.

  4. 4.

    Schwartz SC, Yeh YS: On the distribution function and moments of power sums with log-normal components. Bell Systems Technical Journal 1982,61(7):1441–1462.

  5. 5.

    Ho C-L: Calculating the mean and variance of power sums with two log-normal components. IEEE Transactions on Vehicular Technology 1995,44(4):756–762. 10.1109/25.467959

  6. 6.

    Abu-Dayya AA, Beaulieu NC: Outage probabilities in the presence of correlated lognormal interferers. IEEE Transactions on Vehicular Technology 1994,43(1):164–173. 10.1109/25.282277

  7. 7.

    Beaulieu NC, Rajwani F: Highly accurate simple closed-form approximations to lognormal sum distributions and densities. IEEE Communications Letters 2004,8(12):709–711. 10.1109/LCOMM.2004.837657

  8. 8.

    Pirinen P: Outage evaluation of ultra wideband spread spectrum system with RAKE combining in lognormal fading multipath channels. Proceedings of IEEE 15th International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC '04), September 2004, Barcelona, Spain 4: 2446–2450.

  9. 9.

    Pirinen P: Ultra wideband system outage studies in a square cell with partial rake receiver and lognormal fading. Proceedings of IEEE International Conference on Ultra-Wideband (ICU '05), September 2005, Zurich, Switzerland 230–235.

  10. 10.

    Saleh AAM, Valenzuela RA: A statistical model for indoor multipath propagation. IEEE Journal on Selected Areas in Communications 1987,5(2):128–137.

  11. 11.

    Molisch AF, Foerster JR, Pendergrass M: Channel models for ultrawideband personal area networks. IEEE Wireless Communications 2003,10(6):14–21. 10.1109/MWC.2003.1265848

  12. 12.

    Zhang J, Kennedy RA, Abhayapala TD: Performance of RAKE reception for ultra wideband signals in a lognormal-fading channel. Proceedings of International Workshop on Ultra Wideband Systems (IWUWBS '03), June 2003, Oulu, Finland

  13. 13.

    Giuliano R, Mazzenga F: On the coexistence of power-controlled ultrawide-band systems with UMTS, GPS, DCS1800, and fixed wireless systems. IEEE Transactions on Vehicular Technology 2005,54(1):62–81. 10.1109/TVT.2004.838843

  14. 14.

    Oh SW, Li KH: Effects of simplified cellular configuration on performance of Rayleigh-faded forward-link CDMA system with power control. Electronics Letters 1998,34(23):2201–2202. 10.1049/el:19981549

  15. 15.

    Bettstetter C, Hartenstein H, Pérez-Costa X: Stochastic properties of the random waypoint mobility model. Wireless Networks 2004,10(5):555–567. Special issue on modeling and analysis of mobile networks

  16. 16.

    Weisstein EW: Square line picking. from MathWorld—A Wolfram Web Resource,

  17. 17.

    Sheng H, Orlik P, Haimovich AM, Cimini LJ Jr., Zhang J: On the spectral and power requirements for ultra-wideband transmission. Proceedings of IEEE International Conference on Communications (ICC '03), May 2003, Anchorage, Alaska, USA 1: 738–742.

  18. 18.

    Ramírez-Mireles F, Scholtz RA: Multiple-access with time hopping and block waveform PPM modulation. Proceedings of IEEE International Conference on Communications (ICC '98), June 1998, Atlanta, Ga, USA 2: 775–779.

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Correspondence to Pekka Pirinen.

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Pirinen, P. Outage Analysis of Ultra-Wideband System in Lognormal Multipath Fading and Square-Shaped Cellular Configurations. J Wireless Com Network 2006, 019460 (2006) doi:10.1155/WCN/2006/19460

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  • Distribution Statistic
  • User Activity
  • Outage Probability
  • Path Loss
  • Spatial Configuration