Wireless
Sensor
Networks
M
Homework
#1
Part 1
Consider two sensor devices (one transmitter and one receiver) IEEE 802.15.4 standard

compliant.
Assume that the Loss
in dB between
the two
nodes at distance
d, is given by:
L[dB
]=k
0
+k
1
ln
(d
)
Where k
0
=40
dB,
k
1
=17.37 and
ln
is the natural logarithm.
By setting the bilateral power spectral density of the receiver, N
0
=
7*10

20
W/Hz and the
transmit power,
P
t
= 0
dBm
,
which is the maximum distance between the two devices, such that the Block Error Rate,
BLER is lower than 10

2
, when a data block composed of 10 Bytes is transmitted?
Part 2
Two
IEEE 802.15.4 sensor
nodes are d meters apart at a height of 2 m above the
ground
.
The transmitting node takes a sample every 16
ms
, encodes it with four bytes and
transmits it through
a data
burst composed of 30 bytes overall.
The
link uses channel 25 of
IEEE 802.15.4
. with transmission power set at 0.1
mW
.
The
bilateral power spectral density of the receiver, N
0
=
8*10

18
W/Hz
The
energy consumed by the transmitting node to send the data is 50
m
J
. The initial
battery charge is
20
000 J. The energy consumed by the receiving node to receive
the data is 60
m
J
. Its initial battery
charge
is 10 000 J.
1
) Assuming d = 40 m, compute the
BLER
2) Compute the
link
lifetime
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