The system is consisted of a single cell with one BS at the center

with the following parameters :-

* N=5000 (number of M2M nodes).

* TRA=1000 sec. (the time interval between two consecutive resource allocations to the machine).

*Packet arrival of each device, rg (Poisson distributed. Average: 1 per 7 hours).

*communication protocol :- Reservation through config. 0 of RACH communications through PUSCH.

*Number of preambles :- (54) in even frames.

RA slot duration ( preamble transmission (msg1) )+ processing time at M2M side (msg3)=1msec + 6msec=7msec.

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*** data transmission of successful nodes in resource reservation

at frame(i) will be scheduled to be done in frames (i + 1) and

(i + 2).

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When The system traffic of known devices is fixed. The total generation traffic is given by :-

total generation = N*rg*TRA=(5000)*(1/25000 (sec) )*(1000 (sec) )=200.

What is the total number of RACH channels (total number of preambles)= ?

What is the physical resource for Uplink data transmission = ?