The phrase "a given transmitted" is not correct and does not convey a clear meaning in written English.
It may be intended to refer to something that has been transmitted or communicated, but the phrasing is awkward and unclear.
Example: "The data was received, but a given transmitted was not properly logged."
Alternatives: "a specific transmission" or "a particular message".
For an AF protocol, relays cooperate and amplify the received signals with a given transmit power.
For an AF protocol, relays cooperate and amplify the received signals with a given transmit power amplifying their own noise.
We consider a novel utility function that balances the sojourn in a each battery state along with achieved throughput for a given transmit policy.
The presented results show that for a given transmit power budget this scheme provides significant benefits to the corresponding conventional system's error rate performance.
In particular, preambles of short duration and of both the block (full) and comb (sparse) types were designed so as to minimize the channel estimation mean squared error (MSE) subject to a given transmit energy.
For conventional rate adaptive problems, in which the objective is to maximize the total system throughput subject to a total transmit power constraint, it is intuitive that by allocating powers to the UT who has the best channel condition will maximize the overall system throughput for a given transmit power constraint.
For P1 = P2 = 1, for a given transmit duration and a residual CFO (f Δ ), the error probability P e (t, f Δ ) and a BPSK modulation, we have P e ( t, f Δ ) = ∫ 0 ∞ Q 2 ξ 1 ( t, f Δ ) p ξ 1 ( ξ 1 ( t, f Δ ) ) d ξ 1 ( t, f Δ ), 0 ≤ t ≤ T p (43).
It is reported in [9] that codes with different code rates have similar sensitivity to the relay position for a given transmit power distribution of the source and the relay; hence, for both cases of low- and high-rate codes, the optimal position where the proposed code achieves best performance is d=0.4.
The geometrical interpretation of the achievable sum rate in the multiuser SC-FDMA system can be straightforward interpreted as performing multiuser EGP allocation in the system, where each user, subject to a given transmit power constraint, performs EGP allocation in the assigned set of subcarriers.
