Novel Handoff Scheme with MIMO ◾ 161
e AP
2
stores the delay dierence of the hando locations, and when the MS sends
the probe request to the AP, the AP learns the position and the moving direction of
the MS from the received packets, and then knows that it is at the hando location
point i. en the AP can transmit the probe response packet to the MS, with the
delay dierence Δt
i
counted in, to guarantee the synchronous reception at the MS.
Suppose the hando from AP
1
to AP
2
initiates at hando location 1, andthe time
instants that the AP
1
and AP
2
receiving the probe request are T
rx1
and T
rx2
, respec-
tively, and the processing delay and transmission delay are
proc
and
, which
are supposed the same for all the APs in this chapter. Without loss of generality we
suppose the transmission delay at the rst hando location has Δ
1,2
, then the
transmit instants for the AP
1
and AP
2
to send the probe response packet are calcu-
lated as follows:
tx1 rx1processing tx
(8.7)
ttt
tx2 rx2processing tx
2
1,2
(8.8)
From the equations, we can see that the APs only have to store the delay dierences
with negative values. One example is with the format of (Δt
1,j
, Δt
4,j
).
In the CBTC communication system, OFDM is adopted due to its anti-
multipath characteristics, with the cyclic prex (CP) length of 0.8μs. With the
CP, if the timing dierences between uplink clients are in the limit of half of the
CP length, 0.4μs, the signal can be still be decoded successfully [28]. e accuracy
of the location in CBTC system is about 5–10m; therefore, the delay uncertainty
between the two APs due to locating uncertainty is less than 0.067μs, which is far
less than the 0.4μs and CP length of OFDM packets. erefore, little uncertainty
of the locating results has no eects on synchronization performance.
8.3.2 Communication Latency in WLANs
In the WLAN system in CBTC, CSMA/CA is the media access control (MAC)
protocol for all the stations. Two reasons resulting in the loss of packets are as
follows: (1) the loss because of the collisions when the dierent nodes send the
packets simultaneously, which is caused by the contention of dierent transmitters,
and (2)the transmission error, where a packet is received without packet collisions
and is corrupted due to low SNR. In this chapter, we only consider the latter case
because in typical CBTC environments there is only one train in the same direc-
tion in the AP’s coverage range, which is decided by the requirements of the safety
distance between consecutive trains.
With packet loss caused only by transmission error, the packet delay
ho sig_
of
one single hando signaling packet in CSMA/CA systems is calculated as follows:
TT TT
TT
ho_sig PtxDIFS CCA RxTx
Preamble PLCP backof s
++
ll ot
(8.9)