Firstly, in the simplest BEC channel, the probability of n output symbols successfully received at the decoder follows a binomial distribution, i.e., text{Pr}_{1}(n)= {lchoose n} 1-p)^{n} 1-pl-n)}, (11).
In MDEC model, the number of output symbols successfully received at the ES in every window, i.e., n, is randomly changing, due to the time-varying channel states transitions.
where Pr(n) is the probability of n output symbols successfully received by the receiver in one window, and as we know that (mathop {sum }limits _{n=1}^{K} Pr (n)=1).
The model output was successfully validated with morphometrical and spatial data from the field site in the South African Kalahari thornveld and with recent literature data on savanna woody species cover.
So, the probability of n output symbols successfully received by the ES, denoted as Pr(n), the same probability Pr(n) in Eq. (2), can be expressed as follows begin{aligned} Pr(n)=&mathop{sum}limits_{l=0}^{K} Pr l) left(q_{B}{l choose n} (1-p_{B})^{n}p_{B}^{ l-n)}right.
Lastly, the number of output symbols successfully received by the ES (l after erased with probability p) in one window is denoted as a random variable n, so the decoding overhead at the decoder is given by (gamma =frac {n}{k}).
By applying the pulse shape discrimination technique to the APD output, we successfully discriminated the X-ray signals directly detected within the APD (1 40 keV), and gamma-ray signals absorbed in a CsI(Tl) scintillator (10 800 keV) located immediately behind the APD.
Then, assuming the channel state follows the two-state Markov chain with the transition matrix P in Eq. (1), the probability Pr2(n) that n output symbols successfully received over Markov channels should be transformed based on Pr1(n), i.e., text{Pr}_{2}(n)=q_{B}{l choose n} 1-p_{B} 1-p_{_{B}^{n}p_{}+q_{G} {lchoose n}(1-p_{G})^{n}p_{G}^{(l-n)}, (12).
Postoperatively, she developed evidence of central diabetes insipidus and required intravenous pitressin before urine output was successfully controlled.
New bioimpedance technology to monitor cardiac output has successfully been applied to direct trauma resuscitation in the emergency department setting [ 52].
