Advanced Mathematics and Numerical Modeling of IoT

Beacon

1 2 3

4

7 8

5 6

9

13

42

(a)

Allocation notification

1 2 3

4

7 8

5 6

9

2

13

4

(b)

Limited permission notification

1 2 3

4

7 8

5 6

9

4 2

13

5

(c)

Figure 10: Limited permission notification.

BI

Node 5 ACP ACP ACP

SD

PNP PNP PNP PNP

Beacon

Allocation notification

Allocation notification collision

Limited permission notification

1 2 3 4 6 7 8 9

PNP: permission notification period

ACP: allocation contention period

SAD: SD allocation duration

SAD

Figure 11: E-DSME superframe structure.

between allocation notification and permission notification
messages. The repetitive architecture of SAD within a super-
frame duration enables a node that did not have permission
during the first SAD to update its candidate SD index by itself
and retry allocation notification with the updated SD index.
Therefore, it is possible for more prospective nodes to join the
network within a superframe duration.

5.3. E-DSME Superframe Structure.As mentioned in the
previous subsection, a superframe duration is made up of a
number of SADs. A SAD is also composed of ACPs and PNPs:

SAD=푇ACP+푇PNP. (1)

Here, each duration of푇ACPand푇PNPis as follows:

푇ACP

=[{(

macMaxBE

∑

푖=0

2 maxMinBE+푖)×aUnitBackoffPeriod}

+aBaseSlotDuration]×(Symbol rate)

−1

,

푇PNP=

aBaseSlotDuration

Symbol rate

.

(2)