WLAN Performance Aspects
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1 Mobile Networks Module C- Part 1 WLAN Performance Aspects Mohammad Hossein Manshaei Jean-Pierre Hubaux 1
2 Performance Evaluation of IEEE (DCF) Real Experimentations HoE on IEEE b Analytical Models Bianchi s Model Simulations HoE on ns-2 2
3 Bianchi s Model: Topology and Parameters N links with the same physical condition (single-collision domain): N AP 1 N-2 N-1 N We want to calculate the throughput of this network. MAC Layer = Probability of Transmission PHY Layer P = Probability of Collision = More than one transmission at the same time = 1 (1- ) N-1 3
4 CSMA/CA unicast (Review) Sending unicast packets station has to for before sending receiver acknowledges at once (after ing for SIFS) if the packet was received correctly (CRC) automatic retransmission of packets in case of transmission errors sender receiver other stations SIFS ing time ACK Contention window t The ACK is sent right at the end of SIFS (no contention) 4
5 DCF with RTS/CTS (Review) Sending unicast packets station can send RTS with reservation parameter after ing for (reservation determines amount of time the packet needs the medium) acknowledgement via CTS after SIFS by receiver (if ready to receive) sender can now send at once, acknowledgement via ACK other stations store medium reservations distributed via RTS and CTS sender receiver RTS SIFS CTS SIFS SIFS ACK other stations NAV (RTS) NAV (CTS) defer access Contention window t NAV: Net Allocation Vector RTS/CTS can be present for some packets and not for other 5
6 Slot Time in Bianchi s Model channel Collision sender1 sender2 sender3 sender4 One slot time collision 6
7 Bianchi s Model: Two Dimensional Markov chain 1-p 1/CW 0 (s(t), b(t)) (Backoff Stage, Backoff Timer) (0,0) (0,1) (0,2) (0,CW0-2 ) (0,CW0-1) p/cw 1 (i-1,0) p/cw i (i,0) (i,1) (i,2) (i,cw i-2) (i,cw i-1) p/cw i+1 (m-1,0) p/cw m (m,0) (m,1) (m,2) (m,cw m-2) (m,cw m-1) p 1/CWm 7
8 Slot Time in Bianchi s Model channel Collision sender1 (0, 9) (0, 8) (0, 8) (0, 7) (0, 6) (0, 6) (0, 5) (0, 4) sender2 (0, 6) (0, 5) (0, 4) (0, 3) (0, 3) (0, 2) (0, 1) (1, 3) sender3 (2, 6) (2, 5) (2, 4) (2, 3) (2, 3) (2, 2) (2, 1) (3, 6) sender4 (7, 4) (7, 3) (7, 2) (7, 1) (0, 7) (0, 7) (0, 6) (0, 5) One slot time collision 8
9 Bianchi s Model: Two Dimensional Markov chain Stationary distribution: bik, lim t P s( t) i, b( t) k, i (0, m), k (0, CWi 1) Probability of transmission: 9
10 Bianchi s Model: Two Dimensional Markov chain Successful Transmission 10
11 Bianchi s Model: Two Dimensional Markov chain 1-p 1/CW (0,0) (0,1) (0,2) (0,CW 0-2) (0,CW 0-1) p/cw 1 (i-1,0) Collision p/cw i (i,0) (i,1) (i,2) (i,cw i -2) (i,cw i -1) p/cw i+1 (m-1,0) p/cw m (m,0) (m,1) (m,2) (m,cw m-2) (m,cw m-1) p 1/CW m 11
12 Bianchi s Model: Stationary Distribution of Chain (i-1,0) p/cw i (i,0) (i,1) (i,2) (i,cw i -2) (i,cw i -1) b i,0 = p b i-1,0 b m,0 = p b m-1,0 + p b m,0 12
13 Bianchi s Model: Solution for p and After some derivations system of two nonlinear equations with two variables p and : Can be solved numerically to obtain p and 13
14 Bianchi s model: Throughput Calculation Throughput of node i: i E[ Payload Transmitted by user i in a slot time] PP s trl E[ Duration of slot time] P P T P (1 P ) T (1 P ) T s tr s tr s c tr id P tr : Probability of at least one transmission in slot time P s : Probability of successful transmission during a random time slot L: Average packet payload size T s : Average time to transmit a packet of size L T c : Average time of collision T id : Duration of the idle period t ACK : ACK transmission time t H : Header transmission time t L : Payload transmission time P tr 1 (1 ) N N 1 N (1 ) Ps N 1 (1 ) Ts th tl SIFS tack T t t c H L 14
15 Numerical Results Basic Mode RTS/CTS 15
16 Conclusion Semi-analytical model to express the performance of IEEE networks More sophisticated models have been developed since then Don t forget checking the related write up: «Performance Analysis of the IEEE DCF: Bianchi Model» 16
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