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               movements.  Communication  with  RFID  (Radio  frequency  identification)  is  not  bi-directional  (for
               example,  see  Hightower  et.  al. (2000)),  and  sensitive  range  of passive  RFID  is too  short  for  tracking
               people. Wireless  LAN devices consume higher electrical power  (typically about  1[W]) than  devices  of
               other  methods.  Moreover,  TDOA  (Time  difference  of  arrival)  system  becomes  expensive  because  it
               needs  high-resolution  clock  to  measure  small  arrival  time  difference  of  radio  wave.  This  paper
               describes development of a positioning system based  on measurement  of propagation  loss of Bluetooth
               wireless transmission.


               POSTPONING SYSTEM   USING  BLUETOOTH

               In  our  proposed  system,  several  base  stations  with  Bluetooth  wireless  module  are  placed  in  the
               measurement  area, and a person  carries  a mobile  unit  also equipped  with a Bluetooth module.  Pseudo
               distances  between  the  mobile  unit  and  the  base  stations  are  derived  from  the  propagation  losses.
               Position  of  the  mobile  unit  is  calculated  from  these  pseudo  distances  using  a  trilateration  algorithm
               (described  in Kitasuka (2003)).
               The relationship between  the received  signal power Pr[W]  and the transmission  signal power Pt[W] in
               free  space at distance d is calculated  from  a propagation  model.  We used the  free  space model  and the
               two-ray  ground  propagation  model  that  account  for  both  the  direct  line-of-sight  path  and  the  path
               reflected  from the ground  (described  in Fall (2001)). Since real propagation  is a combination  of the two
               models,  we  will  introduce  constants  a  and  ft  to  combine  the  two  models  to  express  a  practical
               propagation model defined  by the following  equation.



                                            '-$
               Constant  a  depends  on  the  system,  such  as  gains  of  antennas  and  the  wavelength,  and  constant  fi
               depends  on the  environment.  The  experimental  data have  shown  good  agreements  with  the  proposed
               propagation  model. The values  of the  parameters  obtained  by curve  fitting  on the experimental  result,
               were  a  = 2.01  and  /5=2.59.  Theoretically,  the  propagation  models  mentioned  above  are  only
               applicable to far filed  region. In the present case, far  field region begins approximately  1.2[m] from  the
               antenna, which is 10-wave length of 2.45[GHz] radio wave.

               Influence  of the human  body and variance of propagation  loss

               Since  the  frequency  of  Bluetooth  is  2.45GHz,  absorption  by  human  body  affects  the  distance
               measurement based  on propagation  loss.  Figure  1 (a)  shows the relationship between the distance  and
               the propagation  loss when a human body is in the propagation path. A person with a mobile unit on the
               front  of  the  body  stood  away  from  a  base  station,  and  propagation  loss  was  measured  as  the  person
               turned  90,  135, and  180  degrees,  at  distances  of  l[m]  to  7[m]  at  l[m]  interval.  The  angle  facing  the
               base  station  was  defined  as  0°.  When  the  angle  was  larger  than  90°, the  mobile  unit  lost  the  line  of
               sight to the base station and the propagation loss increased by more than  10 [dB], which was equivalent
               to  an  error  of  approximately  10% of the pseudo-distance.  This result  indicates  that  compensation  for
               the human body influence  is necessary.
               Figure  1 (b)  shows the variance  of propagation  loss at distance  of 3[m]  and  7[m], The result  indicates
               that the variance of propagation loss is smaller at shorter distance.
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