Sentence examples for bound can be found from inspiring English sources

However, an approximate lower bound can be found by imposing similar assumptions as in [22, 23].

If the first two moments are known, then a tighter upper bound can be found.

Since δsup is equal for both signature matrices, a new lower bound can be found by substituting the new matrix in (59).

Since the CDI channel model falls into this case, the ergodic capacity upper bound can be found by taking the expectation of (23) over the channel distribution and setting ρ = 0. Making use of the high SNR (P ≫ 1) approximation log(1 + xP) ≈ log xP), the ergodic capacity upper bound is then given by (26).

This capacity lower bound can be found by evaluating the capacity of an AWGN channel at the CSNR 1-rho gammama {mathcal {P}}_{T}/(sigma _{c}^{2}+rho gamma {mathcal {P}}_{T})), which is given by (C_{min}(rho,theta)=frac {1-rho gamma2}left (1+frac {mathcaltheta }{P}rho theta }right)) bits/channel use [21].

However, an upper bound can be found by choosing that element of H0 which is the most difficult to reject.

Instead, the BER upper-bound can be found by computing the PEP for each class and weighing it using the number of elements in the class and the number of erroneous bits this class may induce.

In the case of prediction, the future noise is neglected in (114) so it can serve as a tight upper bound even for very large p. The MSE lower bound (LB) can be found if we take into consideration the fact that if N⩽N opt the UFIR estimator order fits the system order.

Following similar steps in obtaining a tight lower bound on the achievable rate for a non-cooperative multiple-input multiple-output system [22, 23], a lower bound for (12) can be found by imposing assumptions that the input data y is i.i.d zero-mean Gaussian, and vector v is Gaussian distributed with the same first- and second-order statistics that are specified by the random vector in (11).

The lower bound for set can be found by solving the problem using convex problem methods.

The idea of establishing a lower bound on awards can be found in many papers on claims problems (O'Neill 1982; Herrero and Villar 2001 , 2002 Moulin 2002; Moreno-Ternero and Villar 2004; Giménez-Gómez and Marco-Gil 2014; Dominguez 2013).