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The probability that a secondary user detects the primary signal within n detection opportunities, P d (n), is given by P d n = ∑ i = 0 n P d, i = 1 − 1 − p d n. (4).
If the residual number of sensing periods overlapped with a primary signal until the primary signal disappears is n (say that a secondary user has n detection opportunities), then the probability P d,i that a secondary user detects the primary signal at its i th detection opportunity is P d, i = { p d 1 − p d i − 1, if 1 ≤ i ≤ n, 0, otherwise ( n = i = 0 ).
Since we are interested in the detection probability within TRDT, the number of detection opportunities is upper-bounded.
We first derive the upper-bounded number of detection opportunities for the CID case (denoted by n ¯ CID T I ).
Moreover, the upper-bounded number of detection opportunities for the CID case differs according to the range of RIDLE.
(3) Figure 2 Illustration of IMD case and the example of upper-bounded number of detection opportunities in IMD case.
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CEO of Professional Science Editing for Scientists @ prosciediting.com