1,720,978 research outputs found
A Simple And Accurate α-μ Approximation To Crossing Rates In Egc And Mrc Receivers Undergoing Nakagami-m Fading
No full textIn this paper, using an approach based on moment estimators, we propose highly accurate closed-form approximations for the level crossing rate of multibranch equal-gain and maximal-ratio combiners operating on independent non-identically distributed Nakagami-m fading channels. As the exact solutions, for both combiners, are given in terms of multifold integrals, our approximate results provide more ef.ciency of the computational point of view, mainly when the number of diversity branches increases. Some numerical plots are depicted and a very good agreement is ascertained between the analytical and approximate curves. © 2007 IEEE.795798Jakes, W.C., (1974) Microwave Mobile Communications, , New York: WileyBrennan, D.G., Linear diversity combining techniques (1959) In IRE, 47, pp. 1075-1102. , JunFraidenraich, G., Santos Filho, J.C.S., Yacoub, M.D., Second-order statistics of maximal-ratio and equal-gain combining in Hoyt fading (2005) IEEE Commun. Lett, 9 (1). , JanFraidenraich, G., Yacoub, M.D., Santos Filho, J.C.S., Second-order statistics of maximal-ratio and equal-gain combining in Weibull fading (2005) IEEE Commun. Lett, 9 (6), pp. 499-501. , JunYacoub, M.D., da Silva, C.R.C.M., Bautista, J.E.V., Secondorder statistics for diversity-combining techniques in Nakagami-fading channels (2001) IEEE Trans. Veh. Technol, 50 (6), pp. 1464-1470. , NovIskander, C.-D., Mathiopoulus, P.T., Analytical level crossing rates and average fade durations for diversity techniques in Nakagami fading channels (2002) IEEE Trans. Commun, 50 (8), pp. 1301-1309. , Augda Costa, D.B., Yacoub, M.D., Fraidenraich, G., Second-order statistics of equal-gain and maximal-ratio combining for the α-μ (Generalized Gamma) fading distribution (2006) IEEE International Symposium on Spread Spectrum Techniques and Applications, , Manaus, Brazil, Augda Costa, D.B., Santos Filho, J.C.S., Yacoub, M.D., Fraidenraich, G., Crossing rates and fade durations for diversity-combining techniques over α-μ fading channels (2007) Accepted for publication in IEEE Trans. Wirel. CommunNakagami, M., The m-distribution - A general formula of intensity distribution of rapid fading (1960) Statistical Methods in Radio Wave Propagation, , W. C. Hoffman, Ed. Elmsford, NY: PergamonYacoub, M.D., Bautista, J.E.V., Guedes, L.G.R., On high order statistics of the Nakagami-m distribution (1999) IEEE Trans. Veh. Technol, 48 (3), pp. 790-793. , MayYacoub, M.D., The α-μ distribution: A general fading distribution. IEEE Inter. Symp. on Personal, Indoor and Mobile Radio Commun (2002) PIMRC, 2, pp. 629-633. , SepYacoub, M.D., The α-μ distribution: A physical fading model for the Stacy distribution (2007) IEEE Trans. Veh. Technol, 56 (1), pp. 27-34. , Janda Costa, D.B., Yacoub, M.D., Santos Filho, J.C.S., An improved closed-form approximation to the sum of arbitrarily distributed Nakagami-m variates (2007), Submitted for publicationS. O. Rice. Statistical properties of random noise currents. Selected Papers on Noise and Stochastic Processes, pages 133-114, 1954. N. Wax. Ed. New York:Dove
On The Second Order Statistics Of η-μ Fading Channels In Diversity Systems
No full textIn this paper, general exact expressions for the level crossing rate and average fade duration of pure selection combining (PSC), equal-gain combining (EGC), and maximalratio combining (MRC) receivers operating on independent nonidentically distributed η-μ fading channels are derived. The analytical results are fully validated by reducing them to particular cases for which the solutions are known and, more generally, by means of Monte Carlo simulation. As will be observed from the graphics, MRC technique yields the best performance followed by EGC and PSC ones. © 2007 IEEE.799803Nakagami, M., The m-distribution - A general formula of intensity distribution of rapid fading (1960) Statistical Methods in Radio Wave Propagation, , W. C. Hoffman, Ed. Elmsford, NY: PergamonWang, C.-X., Youssef, N., Patzold, M., Level-crossing rate and average duration of fades of deterministic simulation models for Nakagami-Hoyt fading channels (2002) The 5th International Symposium on Wireless Personal Multimedia Communications, 1, pp. 272-276. , OctStein, S., Fading channel issues in system engineering (1987) IEEE Journal Selected Areas in Commun, 5 (2), pp. 68-69. , FebYacoub, M.D., The η-μ distribution: A general fading distribution (2000) IEEE Atlantic City Fall Vehicular Technology Conference 2000, , Boston, USA, SepYacoub, M.D., The κ-μ and the η-μ distribution (2006) Accepted for publication in IEEE Ant. and Prop. MagazineSantos Filho, J.C.S., Yacoub, M.D., Highly accurate η-μ approximation to the sum of M independent non-identical Hoyt variates (2005) IEEE Ant. and Wireless Prop. Lett, 4, pp. 436-438Jakes, W.C., (1974) Microwave Mobile Communications, , New York: WileyBrennan, D.G., Linear diversity combining techniques (1959) In IRE, 47, pp. 1075-1102. , JunYoussef, N., Wang, C.-X., Pätzold, M., A Study on the second-order statistics of Nakagami-Hoyt mobile fading channels (2005) IEEE Trans. Veh. Technol, 54 (4), pp. 1259-1265. , JulSagias, N.C., Zogas, D.A., Karagiannidis, G.K., Tombras, G.S., Channel capacity and second-order statistics in Weibull fading (2004) IEEE Commun. Lett, 8 (6), pp. 377-379. , JunYacoub, M.D., Bautista, J.E.V., Guedes, L.G.R., On high order statistics of the Nakagami-m distribution (1999) IEEE Trans. Veh. Technol, 48 (3), pp. 790-793. , MayYacoub, M.D., da Silva, C.R.C.M., Bautista, J.E.V., Second-order statistics for diversity-combining techniques in Nakagami-fading channels (2001) IEEE Trans. Veh. Technol, 50 (6), pp. 1464-1470. , NovFraidenraich, G., Santos Filho, J.C.S., Yacoub, M.D., Second-order statistics of maximal-ratio and equal-gain combining in Hoyt fading (2005) IEEE Commun. Lett, 9 (1). , JanFraidenraich, G., Yacoub, M.D., Santos Filho, J.C.S., Second-order statistics of maximal-ratio and equal-gain combining in Weibull fading (2005) IEEE Commun. Lett, 9 (6), pp. 499-501. , Junda Costa, D.B., Yacoub, M.D., Fraidenraich, G., Second-order statistics for the envelope and phase of η-μ generalized fading channels (2006) IEEE International Telecommunications Symposium, , Fortaleza, Brazil, Sepda Costa, D.B., Santos Filho, J.C.S., Yacoub, M.D., Fraidenraich, G., Second-order statistics of η-μ fading channels: Theory and applications (2007) Accepted for publication in IEEE Trans. Wirel. Commun(1972) Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, , M. Abramowitz and I. A. Stegun, Eds, New York: DoverS. O. Rice. Statistical properties of random noise currents. Selected Papers on Noise and Stochastic Processes, pages 133-114, 1954. N. Wax. Ed. New York:DoverD. B. da Costa and M. D. Yacoub. The η-μ joint phase-envelope distribution. Accepted for publication in IEEE Ant. and Wirel. Propag. LettYang, L., Alouni, M.-S., Level crossing rate over multiple independent random processes - an extension of the applicability of the Rice formula (2005) Proc. IEEE Global Telecommun. Conf, , San Francisco, USA, De
Level Crossing Rates And Average Fade Durations For Multibranch Diversity Receivers Operating On κ-μ Fading Channels
No full textIn this paper, general exact expressions for the level crossing rate and average fade duration of the envelope of multibranch diversity systems operating on independent non-identically distributed κ-μ fading channels are derived. Our analytical results are validated by reducing them to some particular known cases and by means of Monte Carlo simulation. © 2007 IEEE.451455Nakagami, M., The m-distribution - A general formula of intensity distribution of rapid fading (1960) Statistical Methods in Radio Wave Propagation, , W. C. Hoffman, Ed. Elmsford, NY: PergamonStein, S., Fading channel issues in system engineering (1987) IEEE Journal Selected Areas in Commun, 5 (2), pp. 68-69. , FebYacoub, M.D., The κ-μ distribution: A general fading distribution (2001) IEEE Fall Veh. Technol. Conf, , OctYacoub, M.D., The κ-μ distribution and the η-μ distribution (2007) IEEE Ant. and Prop. Magazine, 49 (1), pp. 68-81. , FebSantos Filho, J.C.S., Yacoub, M.D., Highly accurate κ-μ approximation to sum of M independent non-identical Ricean variates (2005) Electron. Lett, 41 (6), pp. 338-339. , MarJakes, W.C., (1974) Microwave Mobile Communications, , New York: WileyBrennan, D.G., Linear diversity combining techniques (2003) Proceedings of the IEEE, 91 (2), pp. 331-356. , FebYacoub, M.D., da Silva, C.R.C.M., Bautista, J.E.V., Second-order statistics for diversity-combining techniques in Nakagami-fading channels (2001) IEEE Trans. Veh. Technol, 50 (6), pp. 1464-1470. , NovIskander, C.-D., Mathiopoulus, P.T., Analytical level crossing rates and average fade durations for diversity techniques in Nakagami fading channels (2002) IEEE Trans. Commun, 50 (8), pp. 1301-1309. , AugSagias, N.C., Zogas, D.A., Karagiannidis, G.K., Tombras, G.S., Channel capacity and second-order statistics in Weibull fading (2004) IEEE Commun. Lett, 8 (6), pp. 377-379. , JunFraidenraich, G., Santos Filho, J.C.S., Yacoub, M.D., Second-order statistics of maximal-ratio and equal-gain combining in Hoyt fading (2005) IEEE Commun. Lett, 9 (1). , JanFraidenraich, G., Yacoub, M.D., Santos Filho, J.C.S., Second-order statistics of maximal-ratio and equal-gain combining in Weibull fading (2005) IEEE Commun. Lett, 9 (6), pp. 499-501. , JunBeaulieu, N.C., Dong, X., Level crossing rate and average fade duration of MRC and EGC diversity in Ricean fading (2005) IEEE Trans. Commun, 51 (5), pp. 722-726. , MayAbramowitz, M., Stegun, I.A., (1972) Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, , New York: DoverMarcum, J.I., A statiscal theory of target detection by pulsed radar (1960) IRE Trans. Inf. Theory, 29, pp. 59-267. , NovRice, S.O., Mathematical analysis of random noise (1944) Bell System Technical Journal, 23, pp. 282-332. , JulRice, S.O., Statistical properties of a sine wave plus random noise (1948) Bell System Technical Journal, 27, pp. 109-157. , Ja
An Outage Analysis Of Multibranch Diversity Receivers With Cochannel Interference In α-μ, κ-μ, And η-μ Fading Scenarios
No full textWireless communications systems in a frequency reuse environment are subject to cochannel interference. In order to improve the system performance, diversity techniques are deployed. Among the practical diversity schemes used, Equal-Gain Combining (EGC) appears as a reasonably simple and effective one. Unfortunately, the exact analysis of the outage probability of EGC receivers is rather intricate for it involves the evaluation of multifold nested integrals. It becomes mathematically intractable with the increase of the number of diversity branches and/or interferers. For example, for N B diversity branches and N I arbitrary independent cochannel interferers, the exact formulation using the convolutional approach requires 2 + N B + (N B × N I ) nested integrals, which, very quickly, and for any practical system, turns out to be mathematically intractable. In this paper, we propose accurate approximate formulations for this problem, whose results are practically indistinguishable from the exact solution. In our model, the system is composed by N B branches and N I interferers so that the desired signals are coherently summed, whereas the interfering signals are incoherently summed at the EGC receiver. Three sets of fading scenarios, namely α-μ, κ-μ, and η-μ, are investigated. The proposed approach is indeed flexible and accommodates a variety of mixed fading scenarios for desired and interfering signals. © 2012 Springer Science+Business Media, LLC.641319Sowerby, K.W., Williamson, A.G., Outage probability calculations for multiple cochannel interferers in cellular mobile radio systems (1988) Proceedings Institute of Electrical Engineering - Radar and Signal Processing, 135 (3), pp. 208-215. , 10.1049/ip-f-1.1988.0028Yao, Y.-D., Sheikh, A.U.H., Investigations into cochannel interference in microcellular mobile radio systems (1992) IEEE Transactions on Vehicular Technology, 41 (2), pp. 114-123. , 10.1109/25.142770Proakis, J.G., (2001) Digital Communications, , McGraw-Hill New YorkNakagami, M., The m-distribution: A general formula of intensity distribution of rapid fading (1960) Hoffman, W. C. Statistical Methods in Radio Wave Propagation, , Pergamon, Elmsford, NYReig, J., Cardona, N., Nakagami-m approximate distribution of sum of two correlated Nakagami-m correlated variables (2000) IET Electronics Letters, 36 (11), pp. 978-980. , 10.1049/el:20000728Hu, J., Beaulieu, N.C., Accurate simple closed-form approximations to Rayleigh sum distributions and densities (2005) IEEE Communications Letters, 9 (2), pp. 109-111. , 10.1109/LCOMM.2005.02003Hu, J., Beaulieu, N.C., Accurate closed-form approximations to Ricean sum distributions and densities (2005) IEEE Communications Letters, 9 (2), pp. 133-135. , 10.1109/LCOMM.2005.02029Santos Filho, J.C.S., Yacoub, M.D., Simple precise approximations to Weibull sums (2006) IEEE Communications Letters, 10 (8), pp. 614-616. , 10.1109/LCOMM.2006.1665128Santos Filho, J.C.S., Yacoub, M.D., Nakagami-m approximation to the sum of M non-identical independent Nakagami-m variates (2004) IET Electronics Letters, 40 (15), pp. 951-952. , 10.1049/el:20045104Santos Filho, J.C.S., Yacoub, M.D., Highly accurate κ-μ Approximation to sum of M independent non-identical Ricean variates (2005) IET Electronics Letters, 41 (6), pp. 338-339. , 10.1049/el:20057727Santos Filho, J.C.S., Yacoub, M.D., Highly accurate η-μ Approximation to the sum of M independent non-identical Hoyt variates (2005) IEEE Antennas and Wireless Propagation Letters, 4, pp. 436-438. , 10.1109/LAWP.2005.860192Coleman, T.F., Li, Y., An interior trust region approach for nonlinear minimization subject to bounds (1996) SIAM Journal on Optimization, 6, pp. 418-445. , 1387333 0855.65063 10.1137/0806023Shah, A., Haimovich, A.M., Performance analysis of maximal ratio combining and comparison with optimum combining for mobile radio communications with cochannel interference (2000) IEEE Transactions on Vehicular Technology, 49 (4), pp. 1454-1463. , 10.1109/25.875282Aalo, V.A., Zhang, J., Performance analysis of maximal ratio combining in the presence of multiple equal-power cochannel interferers in a Nakagami fading channel (2001) IEEE Transactions on Vehicular Technology, 50 (2), pp. 497-503. , 10.1109/25.923061Yang, L., Alouini, M.-S., On the average outage rate and average outage duration of wireless communication systems with multiple cochannel interferers (2004) IEEE Transactions on Wireless Communication, 3 (4), pp. 1142-1153. , 10.1109/TWC.2004.828019Abu-Dayya, A.A., Beaulieu, N.C., Outage probabilities of diversity cellular systems with cochannel interference in Nakagami fading (1992) IEEE Transactions on Vehicular Technology, 41 (4), pp. 343-355. , 10.1109/25.182583Song, Y., Blostein, S.D., Cheng, J., Exact outage probability for equal gain combining with cochannel interference in Rayleigh fading (2003) IEEE Transactions on Wireless Communication, 2 (5), pp. 865-870. , 10.1109/TWC.2003.816796Hadzi-Velkov, Z., Level crossing rate and average fade duration of EGC systems with cochannel interference in Rayleigh fading (2007) IEEE Transactions on Communication, 55 (11), pp. 2104-2113. , 10.1109/TCOMM.2007.908519Tellambura, C., Annamalai, A., Further results on the Beaulieu series (2000) IEEE Transactions on Communication, 48 (11), pp. 1774-1777. , 1018.94501 10.1109/26.886465Da Costa, D.B., Yacoub, M.D., Santos Filho, J.C.S., Highly accurate closed-form approximations to the sum of α-μ Variates and applications (2008) IEEE Transactions on Wireless Communication, 7 (9), pp. 3301-3306. , 10.1109/TWC.2008.070336Da Costa, D.B., Yacoub, M.D., Accurate aproximations to the sums of generalized random variables and applications in the performance analysis of diversity systems (2009) IEEE Transactions on Communication, 57 (5), pp. 1271-1274. , 10.1109/TCOMM.2009.05.070312Yacoub, M.D., The α-μ Distribution: A physical fading model for the Stacy distribution (2007) IEEE Transactions on Vehicular Technology, 56 (1), pp. 27-34. , 10.1109/TVT.2006.883753Yacoub, M.D., The κ-μ Distribution and the η-μ Distribution (2007) IEEE Antennas and Propagation Magazine, 49 (1), pp. 68-81. , 10.1109/MAP.2007.370983Abramowitz, M., Stegun, I.A., (1972) Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, , Dover New York 0543.33001Jiménez, D.M., Paris, J.F., Outage probability analysis for η- μ fading channels (2010) IEEE Communications Letters, 14 (6), pp. 521-523. , 10.1109/LCOMM.2010.06.092501Simon, M.K., Alouini, M.-S., (2000) Digital Communications over Fading Channels: A Unified Approach to Performance Analyis, , Wiley New York 10.1002/0471200697Tellambura, C., Annamalai, A., An unified numerical approach for computing the outage probability for mobile radio systems (1999) IEEE Communications Letters, 3 (4), pp. 97-99. , 10.1109/4234.75720
Blockout: Blocking And Outage In A Single Performance Measure
No full textBlocking probability is widely used as a performance measure for dimensioning a variety of networks, including wireless communication systems. However, the performance of the system may be affected by factors other than traffic and resources, i.e., the primary ingredients in blocking. Such factors include interference, energy consumption, service delay restriction, and others. In this case, blocking by itself does not fully convey the extent of the system quality of service (QoS). Those other phenomena may lead the system to experience an outage, in which case resources, even if available, cannot be used because of the performance degradation that this may incur. In this paper, we propose a performance measure, i.e., BlockOut probability, that combines blocking and outage in one parameter. Exact, closed-form, and recursive forms of this parameter are presented, and a simple example of application is shown. The BlockOut probability encompasses the well-known Erlang-B formula as a special case. Although the application example focuses on wireless systems, BlockOut may find use in a variety of other networks.63734513456Bonald, T., Roberts, J.W., Internet and the Erlang formula (2012) Comput. Commun. Rev., 42 (1), pp. 23-30. , JanChung, S.P., Chen, Y.W., Performance analysis of call admission control in SFR-based LTE systems (2012) IEEE Commun. Lett., 16 (7), pp. 1014-1017. , JulChen, J.C., Chen, W.S., Call blocking probability and bandwidth utilization of OFDM subcarrier allocation in next-generation wireless networks (2006) IEEE Commun. Lett., 10 (2), pp. 82-84. , FebTadayon, N., Askari, E., Aïandssa, S., Khabazian, M., A novel analytical model for service delay in IEEE 802.11 networks (2012) IEEE Syst. J., 6 (4), pp. 627-634. , DecHeo, J., Hong, J., Cho, Y., EARQ: Energy aware routing for real-time and reliable communication in wireless industrial sensor networks (2009) IEEE Trans. Ind. Informat., 5 (1), pp. 3-11. , FebSoithong, T., Aalo, V.A., Efthymoglou, G.P., Chayawan, C., Performance of multihop relay systems with co-channel interference in Rayleigh fading channels (2011) IEEE Commun. Lett., 15 (8), pp. 836-838. , AugDe Medeiros, A.A.M., Yacoub, M.D., An analytical tool for dimensioning wireless multihop networks with traffic and interference combined (2007) Proc. IEEE PIMRC, pp. 1-5. , SepDe Medeiros, A.A.M., Yacoub, M.D., An analytical approach for dimensioning wireless multihop networks (2007) Proc. IEEE GLOBECOM, pp. 4687-4691. , NovSedtheetorn, P., Hamdi, K.A., Linear programming approach to cross-layer optimization in multiclass VSG-CDMA over Rayleigh fading (2008) IEEE Trans. Veh. Technol., 57 (3), pp. 1864-1875. , MaySowerby, K.W., Williamson, A.G., Outage probability calculations for multiple cochannel interferers in cellular mobile radio systems (1988) Proc. Inst. Elect. Eng., 135 (3), pp. 208-215. , Ju
An Analytical Approach For Dimensioning Wireless Multihop Networks
No full textThe tradeoff between maximizing the number of transmissions and reducing total interference is the main problem about dimensioning wireless multihop networks. In this paper, we derive an analytical solution for the calculation of outage probability in a wireless multihop network. The outage probability is the probability of a transmission between two nodes may not be established because there is no available channels along a specific route or the signal-to-interference ratio is below a specified threshold. The proposed solution is compared with simulations, and an excellent agreement is attained. © 2007 IEEE.46874691Gupta, P., Kumar, P.R., The Capacity of Wireless Networks (2000) IEEE Trans. Inf. Theory, 46 (2), pp. 388-404. , MarGallego, D.M., de Medeiros, A.A.M., Cardieri, P., Yacoub, M.D., Seo, C., Leonardo, E.J., Capacity and QoS of Wireless Mesh Networks (2005) 4th International Information and Telecommunication Technologies Symposium, I2TS'05, , DecFuternik, A., Haimovich, A.M., Papavassiliou, S., An Analytical Model for Measuring QoS in Ad-Hoc Wireless Networks (2003) IEEE GLOBECOM '03, pp. 216-220. , DecGugrajah, Y., Takawira, F., Analytical Model for Evaluating Blocking Probability in Wireless Ad Hoc Networks (2002) 6th Africou Conference in Africa IEEE AFRICON, pp. 277-282. , OctZafer, M., Modiano, E., Blocking Probability and Channel Assignment in Wireless Networks (2006) IEEE Trans. Wireless Commun, 5 (4), pp. 869-879Chung, S.P., Ross, K.W., Reduced Load Approximations for Multirate Loss Networks (1993) IEEE Trans. Commun, 41 (8), pp. 1222-1231Keffer, N.F., Cochannel Interference and Alternative Routing Techniques (in Portuguese), (1997), Ph.D. dissertation, State University of Campinas, Electrical and Computing Engineering FacultyKumar, A., Manjunath, D., Kuri, J., (2004) Communication Networking: An Analytical Approach, , Morgan KaufmanGarcia, N.L., Marie, N., Existence and Perfect Simulation of One-Dimensional Loss Networks (2006) Stochastic Processes and their Applications, 116 (12), pp. 1920-1931. , De
Maximal-ratio And Equal-gain Combining In Hoyt (nakagami-q) Fading
No full textNew, exact expressions for the bivariate Hoyt (Nakagami-q) processes in a nonstationary environment are derived. More specifically, the following are obtained: joint probability density function and joint cumulative distribution function. In addition the outage probability for the Maximal-Ratio and Equal-Gain Combining techniques in a correlated Hoyt channel are obtained. The expressions are mathematically tractable and flexible enough to accommodate a myriad of correlation scenarios, useful in the analysis of a more general fading environment. © 2009 IEEE.R. S. Hoyt, Probability functions for the modulus and angle of the normal complex variate, Bell Syst. Tech. J., 26, no. Apr., pp. 318-359, 1947Chytil, B., The distribution of amplitude scintillation and the conversion of scintillation indices (1967) J. Atmos. Terr. Phys, 29, pp. 1175-1177. , SepAnnamalai, A., Tellambura, C., Bhargava, V.K., Simple and accurate methods for the outage analysis in cellular mobile radio systems-A unified approach (2001) IEEE Trans. Commun, 49, pp. 303-316. , FebMehrnia, A., Hashemi, H., Mobile satellite propagation channel part II-A new model and its performance (1999) Proc. IEEE Veh. Technol. Conf. (VTC'99), pp. 2780-2784. , Amsterdam, The Netherlands, SepWang, C.X., Youssef, N., Pätzold, M., Level-crossing rate and average duration of fades of deterministic simulation models for Nakagami-Hoyt fading channels (2002) Proc. Wireless Personal Multimedia Commun. (WPMC'02), pp. 272-276. , Honolulu, HI, USA, OctSimon, M.K., Alouini, M.S., A unified approach to the performance analysis of digital communication over generalized fading channels (1998) Proc. IEEE, 86, pp. 1860-1877. , SepYoussef, N., Elbahri, W., Pätzold, M., Elasmi, S., On the crossing statistics of phase processes and random FM noise in Nakagami-q mobile fading channels (2005) IEEE Trans. Wireless Commun, 4, pp. 24-29. , JanCheng, J., Berger, T., Capacity of Nakagami-q (Hoyt) fading channels with channel side information (2003) Proc. Int. Conf. on Commun. Technol. (ICCT 2003), 2, pp. 1915-1918. , Beijing, China, AprIskander, C.-D., Mathiopoulos, P.T., Exact performance analysis of dual-branch coherent equal-gain combining in Nakagami-m, Rice and Hoyt fading (2005) Proc. IEEE Southeast Conf. (SoutheastCon 05), 57, pp. 233-239. , Ft. Lauderdale, Florida, USA, Apr. 8-10Mendes, J.R., Yacoub, M.D., Fraidenraich, G., Closed-form generalized power correlation coefficient of the Hoyt fading signal (2006) IEEE Commun. Lett, 10 (2), pp. 94-96. , FebFraidenraich, G., Yacoub, M.D., Mendes, J.R., Santos Filho, J.C.S., Second-order statistics for diversity-combining of non-identical correlated Hoyt signals (2008) IEEE Trans. Commun, 56 (2), pp. 183-188. , FebKrishnammoorthy, A.S., Parthasarathy, M., A multivariate gamma-type distribution (1951) The Annals of Mathematical Statistics, 22 (4), pp. 549-557. , DecJakes, W.C., (1997) Microwave Mobile Communications, , New York: WilleyGradshteyn, I., Ryzhik, I., (1980) Tables of Integrals, Series, and Products, , New York: Academic PressAbramowitz, M., Stegun, I.A., (1972) Handbook of Mathematical Functions, , New York: DoverM.D. Yacoub, C.R.C.M. da Silva and J. E. Vargas B., Second-order statistics for diversity-combining techniques in Nakagami-fading channels, IEEE Trans. Veh. Technol., 50, no. 6, pp. 1464-1470, Nov. 200
On The Multivariate Nakagami-m Distribution With Arbitrary Correlation And Fading Parameters
No full textIn this paper, a new closed-form formula for the multivariate Nakagami-m joint probability density function (PDF) generated from correlated Gaussian random variables is derived allowing for an arbitrary correlation matrix and different fading parameters. The formulation is general and exact and contains all of the other joint Nakagami-m PDFs published in the literature. © 2007 IEEE.812816Blumenson, L.E., Miller, K.S., Properties of Generalized Rayleigh Distributions (1963) Annu. Math. Statist, 34, pp. 903-910Li, Y., Tjhung, T.T., Adachi, F., Performance of DS-CDMA in Correlated Rayleigh-Fading Channel with Rake Combining (2000) VTC 2000 - Vehicular Technology Conference, pp. 785-789Malik, R.K., On Multivariate Rayleigh and Exponential Distributions (2003) IEEE Trans. Inf. Theor, 49 (6), pp. 1499-1515. , JunKaragiannidis, G.K., Zogas, D.S., Kotsopoulos, S.A., On the mulivariate Nakagami-m distribution with exponencial correlation (2003) IEEE Trans. Commun, 51, pp. 1240-1244. , AugKaragiannidis, G.K., Zogas, D.S., Kotsopoulos, S.A., An Efficient Aproproach to mulivariate Nakagami-m distribution using Green's Matrix Approximation (2003) IEEE Trans. Wireless Commun, 2 (5), pp. 883-889. , SepUgweje, O.C., Aalo, V.A., Performance of Selection Diversity System in Correlated Nakagami Fading (1997) Proc. IEEE Veh. Technol. Conf. (VTC'97), pp. 1448-1492. , IEEE, MayRubio, L., Cardona, N., Flores, S., Reig, J., Juan-Llacer, L., The use of semi-deterministic propagation models for the prediction of the short-term fading statistics in mobile channels (1999) Proc. VTC'99, 3, pp. 1460-1464. , FallReig, J., Rubio, L., Cardona, N., Bivariate Nakagami-m distribution with arbitrary fading parameters (2002) IEE Electronics Letters, 38 (25). , 1715-1716, 5 th DecRausley, A., de Souza, A., Yacoub, M.D., Bivariate Nakagami-m Distribution With Arbitrary Fading Parameters (2007) IEEE Communications Letters, , SubmittedNakagami, M., The m-Distribution - A General Formula of Intensity Distribution of Rapid Fading (1960) Statistical Methods in Radio Wave PropagationGradshteyn, I., Ryzhik, I., (1980) Tables of Integrals, Series, and Products, , Academic Press, New YorkKrishnammoorthy, A.S., Parthasarathy, M., A multivariate Gamma-Type Distribution (1951) Annuals of Americal MathematichsAbramowitz, M., Stegun, I.A., (1972) Handbook of Mathematical Functions, , Dover, New YorkSchwartz, M., Bennett, W.R., Stein, S., (1966) Communication Systems and Techniques, , McGraw-Hill, New Yor
Robust Sequential Projection Algorithm: Teletraffic Applications
No full textAn n-step ahead Robust Sequential Projection Algorithm - Robust SPA -, used for traffic forecast as well as for long term network planning is proposed. The algorithm uses the State Space Model with the state transition matrix being estimated by a relaxation technique. This lightly increases its complexity, as compared to a similar algorithm proposed in the literature, but renders the Robust SPA a better performance. The algorithm is also compared with the Expectation-Maximization technique and, in general, the Robust SPA yields a slightly poorer performance as far as the mean square error between projected and observed data is concerned. On the other hand, it is more robust and requires far less computational effort. Moreover, due to its simplicity, an automated version of the algorithm can be easily implemented for applications in which a great deal of data is to be forecasted.83285292Moreland, J.P., A Robust sequential projection algorithm for traffic load forecasting (1982) The Bell System Technical Journal, 61 (1), pp. 15-38. , JanuaryPack, C.D., Whitaker, B.A., Kalman filter models for network forecasting (1982) The Bell System Technical Journal, 61 (1), pp. 1-14. , JanuaryDempster, A.P., Laird, N.M., Rubin, D.B., Maximum likelihood from Incomplete data via the EM algorithm (1977) Journal of the Royal Statistical Society, 39 (1), pp. 1-38Shumway, R.H., Multivariate state-space estimation and forecasting using the EM algorithm (1984) Proc. 4-th International Symposium on Forecasting, pp. 1-15. , London, U K, JulyShumway, R.H., Stoffer, D.S., An approach to time series smoothing and forecasting using the EM algorithm (1982) Journal of the Time Series Analysis, pp. 253-263Huber, P.J., Estimation of a location parameter (1964) Ann. Math. Statist., 35, pp. 73-101Masreliez, C.J., Martin, R.D., Robust bayesian estimation for the linear model and robustifying the kalman filter (1977) IEEE Transactions on Automatic Control, AC-22 (3), pp. 361-371. , JuneNunes, G., Time bases for traffic measurements (1984) Telebrás Journal, pp. 20-26. , March in portugueseMoreland, J.P., Estimation of point-to-point telephone traffic (1978) The Bell System Technical Journal, pp. 2847-2863. , OctoberGirolami, A., Ursini, E.L., Yearly and monthly data forecasting using kalman filter (1988) Proc. ITC 12, pp. 270-276. , Torino, Italy, JuneUrsini, E.L., (1994) Forecasting Algorithms Using State Models: Teletraffic Applications, , Doctorate Thesis, University of Campinas, in PortugueseTomé, F.M., Cunha, J.A., Traffic forecasting with a state-space model (1985) Proc. ITC 11, pp. 34B51-34B54. , Kyoto, JapanChemouil, P., Garnier, B., Adaptive short-term forecasting procedure using kalman filter (1985) Proc. ITC 11, pp. 34B11-34B17. , Kyoto, JapanKnottnerus, P., Forecasting: Kalman filtering and prediction intervals (1988) Proc. ITC 12, pp. 53A51-53A57. , Torino, Italy, JuneUrsini, E.L., Yacoub, M.D., Amaral, W.C., Girolami, A., Robust sequential projection algorithm (1993) Proc. ITC Regional Seminar, pp. 147-156. , Brasília, Brazil, SeptDavid, A.J., Pack, C.D., The Sequential Projection Algorithm: A new and improved traffic forecasting procedure (1979) Proc. ITC 9, 1. , Cap. 4, Session No. 11, Torremolinos, SpainUrsini, E.L., Yacoub, M.D., Amaral, W.C., Girolami, A., Modified adaptive sequential projection algorithm (1994) Proc. ITC 14, 1 B, pp. 1155-1164. , Juan Les Pins - Antibes, France, Jun
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