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We plot in Figure2 the blocking probability of primary users for the two schemes to show the maximum arrival rate supported while limiting blocking at 1%.
P k,X = x,Y = y) Probability that x ongoing voice secondary sessions and y ongoing data secondary sessions be interrupted in system state k. ( {P}_{mathrm{b}}^{left(mathrm{P}right)} ) New call blocking probability of primary users.
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Figures 9, 10 and 11, respectively, show numerical results for new call blocking probability of voice SUs, new call blocking probability of data SUs, and forced termination probability of voice SUs as function of the utilization factor of primary channels.
The blocking probability of the cellular communication systems is analyzed based on Markov chain.
Similar to the new call blocking probability of WLAN, the CDMA system's blocking probability can be expressed as (9).
The corresponding performance indices like blocking probability of new calls (B n ), blocking probability of handoff data calls (B hd ), blocking probability of handoff voice calls (B hv ), overall blocking probability of handoff calls (B h ), overall blocking probability of calls (B), dropping probability of handoff guaranteed calls (D G ) and CL in every cell, are also tabulated.
The blocking probability of NPCC with l=236 and the blocking probability of NPCC with l=200 were very close since the values of l were close.
Also, for a given value of the utilization factor of the primary channels, as the relative service time increases, the departure rate of successfully terminated calls decreases relative to the arrival rate of primary sessions; thus, the average number of idle channels decreases in detrimental of the new call blocking probability and, consequently, in detrimental of system capacity.
The reader is referred to [30] for more details on the definition and derivation of other performance metrics such as secondary successful probability (S U SP ), primary blocking probability (P U BP ), secondary blocking probability (S U BP ), as well as system resource utilization.
The probability of a new call being blocked is called new call blocking probability (P nb), and the probability of a handoff call being dropped is called handoff call dropping probability (P hd).
This analysis is also done when constraints, expressed in terms of blocking probability bounds, are added.
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