The condition for removing the second card is given by F>2μ s F, which means μ s <0.5.
All the means μ s, t ( Λ k, D ̄ ) are calculated for two parameters s and t, now we move towards three parameters namely s, t, r.
For t = 0, we obtain the required result by taking the limit t → 0. Remark 4.3 If we make the substitutions x → a, y → b, s → s − 1 and t → t − 1 in our means μ s, q ( x, y, Φ i, Ω 2 ) and μ s, q ; t ( x, y, Φ i, Ω 2 ) ( i = 1, 2 ), then the results for the E 1 ( r, t ) means and the generalized E 1 means given in [7] are recaptured.
As before, signal and noise means (μ s A, μ s B, μ n A, μ n B ) and the common SDs (σ A, σ B ) of each channel's signal and noise mixture distribution are estimated from the data, but ρ (for each genotype case) is determined via a simple heuristic and v is a fixed parameter that may be adjusted by the user (see Section 4).
In addition, for the FOSB-based proposed location-tracking scheme, there are two useful estimations denoted as follows: the mean of μ x k → g k + 1 ( x k ) and the mean of μ s k → f k + 1 ( s k ) are the location estimation and the speed estimation of the MT of X-coordinate at the k th state estimation, respectively.
In a conventional system without IA messages, this would mean 1.15 μ s cyclic prefix.
With all three approximation methods the mean value μ s → v ( k ) of the pdf of m s → v ( k ) can be estimated using Monte-Carlo simulation.
When there are PUs in the network, the first stage coarse energy detection result T follows a distribution with the mean of 1 + μ s.
