Sentence examples for derivation of the probability from inspiring English sources
In [16], an analytical derivation of the probability density function (pdf) of the adjacent channel interference is derived for the uplink.
In Section 3, the derivation of the probability of successful internode decoding is presented.
The proposed framework allows the derivation of the probability of decision error at the AP, when accounting for packets' losses due to possible collisions.
To make the derivation of the probability of error easier, we can refer to the so-called sign-adjusted decision variables [10] defined as follows: and.
The derivation of the probability of successful transmission and collision in X-MAC protocol depends on the status of the queue and the channel.
The analytical derivation of the probability of bit error (P b ) versus SNR for the UWB noise-OFDM radar and its agreement with computer-based simulations has been shown in [7].
Some more definitions will be required in order to formalize the derivation of the probabilities associated with a given Hamming distance sequence.
More importantly, we have provided many interesting applications in Section 5 such as the design of optimum receiver, derivation of probability of bit error rate and the derivation for the probability of outage in MIMO-CDMA systems in the presence of Rayleigh flat fading in addition to the design of MMSE estimator.
As applications, we have demonstrated how the derived statistics can be utilized for designing the optimum coherent receiver, derivation for the expression of probability of bit error rate, derivation of MMSE channel estimator for Rayleigh fading, and derivation for the probability of outage in fading environment.
The detailed derivations of the probability p((xd) i = x) from Λ-values are given in [15] (note that the calculation depends on the mapping rule in Ω).
The detailed derivations of the probability density functions (PDF) f ( C b A ) and f(Q b ), and the conditional PDF f ( C b A | Q b ) are given in Appendix 2. Integration over Q b provides the Pmd according to [13] P md = ∫ 0 ∞ f ( Q b ) ∫ − ∞ ρ Q b f C b A | Q b d C b A dQ b. (17).
