Sentence examples for bound of the achievable from inspiring English sources

In addition, a closed-form upper bound of the achievable sum-rate (SR) is derived and the same multiplexing gain is achieved when the number of relays is sufficiently large for the considered two approaches.

We first give three lemmas useful for deriving the lower bound of the achievable rate of ZF-DPC under DF.

Then we have the following theorem on the lower bound of the achievable ergodic rate of ZF-DPC under DF.

In the following, we demonstrate the impact of some practical parameters such as OFDM block length, relay location, and channel lengths on the bound of the achievable rate.

Moreover, from our experience, e.g., from [20], the impact on the lower bound of the achievable rate, e.g., when choosing N<ξ, is marginal at medium SNR and vanishes with increasing SNR, which is reasonable because the channel memory on the channel output arises from the noise process.

Park et al. derived the upper bound of the achievable throughput for the EH SUs under the energy causality and collision constraints [25].

Then the vector quantization scheme based on the distortion measure of the angle between the codevector and the downlink channel vector was adopted in [20, 21, 25], and a closed-form expression of the lower and upper bound on the achievable rate of ZF-BF was derived.

The main extensions are the consideration of PSK signaling, the consideration of the spectral efficiency with different out-of-band power thresholds, the extended description of the sequence optimization strategy including the explanation of the lower bound on the achievable rate and the overall performance comparison for a large number of transmit signaling schemes under the same conditions.

Moreover, considering the effect of diffraction, we derive a lower bound on the achievable spatial resolution of the proposed imaging systems.

They can be used to derive an upper bound on the achievable speedup of parallel program.

The above inequality shows the lower bound on the achievable rate of user i under given.