# Effect of Fading on the Performance of VoIP in IEEE a WLANs

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3 perfect channel estimation. We do however examine in section IV the effect of estimating the channel based on TDLS. III. PER RESULTS To illustrate the importance of fading on packet errors, consider the 24 Mbps data rate and SNR = 15 and 20 db. We find via simulation that for a channel with no fading, PER = 0 for both SNR values. However, with fading, we obtain the histogram shown in Fig. 2. We find that PER is distributed between 0 and 1 with PER ave = 0.4 and 0.07 for SNR =15 db and 20 db, respectively. We also find that the percentage of realizations with PER >PER ave is 41% and 14% for SNR = 15 db and 20 db, respectively. Most of the results in the remaining part of this section Pr(PER = x) Pr(PER = x) ~ SNR = 15dB PER nofading = 0 PER = 0.4 average Prob(PER>PER average ) = ~ SNR = 20dB PER nofading = 0 PER average = 0.07 Prob(PER>PER average ) = Fig. 2. Histograms of PER for 24Mbps at SNR =15& 20 db will be presented using complementary cumulative distribution functions (CCDFs); that is Pr{PER > }. This allows one to examine system performance in terms of Pr{PER > } for a desirable dictated by the applications, and find the system conditions under which this probability is below a certain acceptable threshold. We plot in Fig. 3 the CCDF for PER for 24 Mbps and Prob( PER > ) 5 db 10 db 15 db 20 db 25 db 10 3 Fig. 3. CCDF of PER for 24 Mbps at SNR =5-25dB Prob( PER > ) 6 Mbps 9 Mbps 12 Mbps 18 Mbps 24 Mbps 36 Mbps 48 Mbps 54 Mbps Fig. 4. CCDF of PER for All data rates at SNR =10dB Prob( PER > ) 6 Mbps 9 Mbps 12 Mbps 18 Mbps 24 Mbps 36 Mbps 48 Mbps 54 Mbps 10 3 Fig. 5. CCDF of PER for All data rates at SNR =20dB for SNR ranging from 5 to 25 db. In Figs. 4, 5 and 6 we plot the CCDF for PER for all data rates for SNR = 10, 20 and 25 db, respectively. In addition, we show in Tables II and III the average and the variance of PER for all data rates at various SNR values. As expected, for each data rate considered, the average PER and Pr{PER > } for any given decrease as SNR increases. From the above results we can make the following observations: for any given data rate, there is a range of low SNR values such that PER is quite high and the PER variance is low; the system performance is very poor regardless of the fading realization. There is a range of high SNR values such that PER is quite low and the PER variance is low; the system performance is very good regardless of the fading realization. For mid-range SNR values, the performance is dependent on the particular fading realization experienced. In this case, the system performance may be quite good or poor. To illustrate these observations, we consider the data rate of 24 Mbps and we note that for SNR = 5 db, PER is in the range of and 1 with an average PER of and a variance of 8.00x10 4.For SNR = 25 db, PER is in the range of 0 and with an average PER of and a

4 Data Data TABLE II AVERAGE PER SNR (db) Rates (Mbps) x x x x TABLE III VARIANCE OF PER SNR (db) Rates (Mbps) 6 1.9x 6.9x 5.3x x x10 9 N/A N/A 9 8.3x 1.9x 8.1x 1.0x 6.0x10 4 N/A N/A x 1.6x 3.1x 7.4x x10 8 N/A N/A x 1.5x 1.6x 4.6x 3.8x10 3 N/A N/A x x 1.8x 4.0x 1.3x10 3 N/A N/A x x 1.8x 6.1x 6.8x10 3 N/A x 1.6x 1.3x 2.1x 2.4x x x 1.8x 6.2x 6.9x10 3 Prob( PER > ) 6 Mbps 9 Mbps 12 Mbps 18 Mbps 24 Mbps 36 Mbps 48 Mbps 54 Mbps Fig. 6. CCDF of PER for All data rates at SNR =25dB variance of 1.3x10 3.For SNR = 15 db, PER is in the range of 0 and 1 with an average PER of and a variance of We note that the range of values of SNR referred to above depends on the data rate. We also note that for the same SNR, the lower the data rate is, the better is the performance. This can be easily seen from Figs. 4, 5 and 6. Two anomalies to this statement are worth mentioning. The performance in PER for 9 Mbps is worse than that of 12 Mbps for all SNRs considered. This anomaly is widely reported in the literature; see [6], [10]. The other anomaly is in the relative performance of the data rates of 18 and 24 Mbps. The PER performance of 18 Mbps is better than 24 Mbps at low SNR (Fig. 4) however at 20dB (Fig. 5), their respective performance is practically the same, while at 25 db (Fig. 6), the performance of 24 Mbps is better than that of 18 Mbps. This anomaly can be also seen in the numerical results obtained in [8]. We can conclude that when SNR is sufficiently high to allow a high data rate modulation to operate satisfactorily, the degrading effect of the high code 2 rate (i.e. 3, 3 4 ) in a lower data rate mode becomes dominant enough to cause the lower data rate mode to be outperformed by the higher data rate mode in which a low code rate (i.e. 1 2 ) is employed. IV. VOIP QUALITY ASSESSMENT We consider the evaluation of VoIP quality by specifying a particular target value for MOS, MOS t and a bound ε on the probability that the MOS t is not achieved, that is, Pr{MOS MOS t } <ε. To study voice quality, we present the results in Table IV where we give the probability that

5 TABLE IV Pr {MOS MOS t} FOR 6, 12, 24, 48 AND 54 MBPS FOR SNR=5-35dB 6 (Mbps) (Mbps) (Mbps) (Mbps) (Mbps) MOS is below MOS t,formos t = 2.6, 3.6, 4 and 4.3 for data rates 6, 12, 24, 48 and 54 Mbps and various values of SNR (translated to distances). We also show the average MOS obtained by averaging over all fading realizations considered in the simulation. These results correspond to a single transmission for VoIP packets (i.e. no retransmissions). Clearly, as we have seen already in the numerical results for PER, for a given data rate, increasing SNR (i.e. decreasing the distance between the communicating VoIP devices) or decreasing the data rate for a given SNR (a given distance) leads to an improvement in performance. From Table IV, it is easy to identify the combinations of data rates and SNR (distance) that can meet a requirement in terms MOS t and ε. An interesting observation is that for given data rate and distance, while Pr{MOS 2.6} Pr{MOS 3.6} Pr{MOS 4} the difference between these probabilities is relatively small. For example, for 24 Mbps and SNR =20 db (distance = 28 m), we have Pr{MOS 2.6 MOS 4.0} = =0.72. This means that the specific choice of MOS t is not so critical and that a large fraction of calls that do not meet MOS t are actually in the range of MOS that is not recommended (MOS < 2.6). This prompts one to choose a value of ε that is small (on the order of 0.01). Consider now MOS t = 4.0 and ε = To meet such a requirement, for each data rate there is a distance that may not be exceeded. For example, the maximum possible distance for 6, 12, 24, 48 and 54 Mbps is 32, 29, 23, 13 and 11 meters, respectively. (These distances are obtained by linear interpolation of the data presented in Table IV). From Table IV, it is possible to see how inaccurate the average MOS is in reflecting the true VoIP performance. Take for example the case of 24 Mbps and SNR = 20 db (distance 28 m); while the average MOS is 4.19, we find an 11% chance of MOS falling below 4.0, 10% chance of falling below 3.6 and 8% chance of falling below 2.6. From the table, we see that the performance is acceptable when the distance is reduced to 23 m for which the average MOS is So far in this section, we considered the evaluation of VoIP assuming that a packet is transmitted only once. The question arises as to what improvement would be obtained if a VoIP packet could be retransmitted when it is in error. We show the results corresponding to a maximum of 3 transmissions per packet in Table V. It is quite clear from the table that for a given data rate and distance, the probability that MOS is below a target is reduced; however the improvement in distance is data rate dependent and is less significant for higher data rates than for lower data rates. For example, while it is possible to gain 4 meters in distance at 6 Mbps, at 24 Mbps, the improvement is less than one meter (for the same ε =0.01 considered above). All the results presented up to this point were obtained under the assumption of perfect channel estimates at the receiver. However in practice, there are channel estimation errors due to noise in the channel. To investigate the impact of channel estimation errors on VoIP performance, we applied the TDLS channel estimator to the two training sequences in the preamble at the receiver in order to acquire the channel. In Table VI, we present the Pr{MOS MOS t } for MOS t = 2.6, 3.6, 4 and 4.3 for data rates 24 and 54 Mbps at SNR values of interest. By comparing the results in Table VI with the corresponding results in Table IV, we conclude that the differences are minimal. These results suggests that the two training sequences specified in the standards are adequate for near-to-perfect channel estimation in a time-invariant channel. Finally, we emphasize the importance of fading in performance evaluation of WLANs in general and VoIP over WLANs in particular by comparing the average MOS in Table IV (last column in the table) to that obtained by ignoring fading altogether shown in Table VII. V. CONCLUSION We showed the impact of fading in wireless channels on the performance of VoIP in IEEE a systems and

6 TABLE V Pr {MOS MOS t} WITH 3RETRANSMISSIONS FOR 6, 12, 24, 48 AND 54 MBPS FOR SNR =5-35dB 6 (Mbps) (Mbps) (Mbps) (Mbps) (Mbps) how overly optimistic the assessment of VoIP performance could be if fading is ignored. We derived the distributions of VoIP performance for all data rates specified in the IEEE a standard and for a range of typical signal-to-noise ratio scenarios. We assessed VoIP performance in terms of Pr{MOS MOS t } <εwhere MOS t represents a desirable level of user-satisfaction and ε, a bound on the probability of not achieving this target. From our results, we observe that the value of ε has a strong influence (stronger than MOS t ) on the system parameters (distance and data rate) that achieves the desirable results. REFERENCES TABLE VI Pr {MOS MOS t} FOR 24 AND 54 MBPS FOR SNR =20-35dB WITH CHANNEL ESTIMATION ERRORS 24 (Mbps) (Mbps) TABLE VII AVERAGE MOS IN A NON-FADING CHANNEL Data Rates (Mbps) SNR (db) Conference of the IEEE Computer and Communications Societies. IEEE Proceedings., Volume: 1, April 22-26, 2001 Page(s): [4] Garg, S.; Kappes, M.; Can I add a VoIP call? IEEE International Conference on Communications, ICC 03., Volume:2, May 11-15, 2003 Page(s): [5] G.L.Stuber, Principles of Mobile Communication. Massachusetts:Kluwer Academic Publishers, 2nd Edition, [6] Armour, S.; Doufexi, A.; Nix, A.; Bull, D.; A study of the impact of frequency selectivity on link adaptive wireless lan systems IEEE 56th Vehicular Technology Conference, Proceedings. VTC 2002-Fall Volume:2, 2002 Page(s): [7] Doufexi, A.; Armour, S.; Nix, A.; Bull, D.; A comparison of HIPER- LAN/2 and IEEE a physical and MAC layers Symposium on Communications and Vehicular Technology, SCVT-200., 2000 Page(s): [8] Doufexi, A.; Armour, S.; Butler, M.; Nix, A.; Bull, D.; A study of the performance of HIPERLAN/2 and IEEE a physical layers IEEE 53rd VTS Vehicular Technology Conference, VTC 2001 Spring. Volume: 1, May 6-9, 2001 Page(s): [9] Medbo,J. Schramm,P.; Channel models for HIPERLANS/2 in different indoor scenarios, 3ERI085B, HIPERLANS/2 ETSI/BRAN contribution, March 30, [10] Lampe, M.; Rohfing, H.; Zirwas, W.; Misunderstandings about link adaptation for frequency selective fading channels The 13th IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, 2002.,Volume:2, Page(s): [11] Keenan,J.M; Motley,A.J,; Radio Coverage in Buildings British Telecom Technology Journal, vol.8, no.1 January 1990, Page(s): [12] IEEE Std a/D , Part 11, Wireless LAN Medium Access Control (MAC) and Physical Layer (PHY) Specifications: High Speed Physical Layer in the 5 GHz Band. [13] Medbo, J.; Berg, J.-E.; Simple and accurate path loss modeling at 5 GHz in indoor environments with corridors Vehicular Technology Conference, IEEE 52nd VTS-Fall VTC 2000., Volume: 1, September 24-28, 2000 Page(s): [14] ITU-T recommendation G.107, The Emodel, a computational model for use in transmission planning, December [15] Heiskala,.J; Terry,.J, OFDM Wireless LANs-A Theoretical and Practical Guide SAMS Publishing, December [1] html [2] Heiman, F.P.; A wireless LAN voice over IP telephone system Northcon/98 Conference Proceedings, October 21-23, 1998 Page(s): [3] Veeraraghavan, M.; Cocker, N.; Moors, T.; Support of voice services in IEEE wireless LANs INFOCOM Twentieth Annual Joint

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