Sentence examples for by deriving the expression from inspiring English sources

This has been achieved by deriving the expression of a damaged mode shape utilizing a perturbation approach.

The minimization of the MSE is obtained by deriving the expression (11) with respect to every weight of the linear combination, giving raise to the following expression: v = t Q T Q Q T - 1. (12).

By deriving the expression for the ergodic achievable sum-rate of these transmission modes, we got the threshold of different transmission modes to attain maximum sum-rate of the system.

Hence, its PDF can be approximated by deriving the expression (6) begin{aligned} f_{T}left tright) &approx frac{beta}{t}expleft[-left(frac{sigma t}{omega }right)^{beta }right] &quadtimesleft(sum_{i=0}^{L-1}frac{left[left(frac{sigma t}{omega}right)^{beta}right]^{i+1}}{i!}-sum_{i=1}^{L-1}frac{left(frac{sigma t}{omega}right)^{beta i}}{left i-1right) !}{left i-1rightgned}right

We will evaluate the performance of the proposed selective combining scheme by deriving the expressions of the probability of false alarm and the probability of missed opportunity for this collaborative system.

Firstly, we start by deriving the EVM expression when clipping and predistortion are deactivated.

Therefore, we will simply begin by deriving the explicit expression of the elementary cross-covariances between the different antenna branches.

The performance of this new structure and the famous normalized lattice structure are analyzed by deriving the corresponding expression for the roundoff noise gain.

This paper is devoted to filling this critical gap by deriving the analytic expression of the SOC estimation error under sensing noises.

We employ the geometric approach developed by Goeree and Kushnir (2016) to characterize the set of feasible interim agent values (agent utilities excluding transfers) by deriving the analytical expression of its support function.

We analyze the above proposed scheme, henceforth called as orthogonal spectrum sharing scheme (OSSS), by deriving the closed-form expressions for average SNR of the primary system.