New approximations for DQPSK transmission bit error rate

New Accurate Approximation for Average Error Probability

“…2. Obviously, the relative error corresponding to the proposed approximation outperforms those in [28], except for a short interval, i.e., [11.7, 12.45] where H 2 (γ) is negligible, as outlined in Table II, compared to its values getting for small SNR. Remark 2.…”

“…In this part, a tight approximate expression for the BEP under DQPSK scheme is derived based on the two bounds presented above. In a similar manner to the approach followed in [28], the new proposed approximation is a linear combination of the two aforementioned bounds for H 2 (γ), namely…”

“…1. One can observe that there exists a strong matching between the two curves over the entire range of γ. labeled {BER i+2 } i=3..5 in [28], respectively. Besides, the relative error corresponding to the aforementioned approximations, namely…”

“…In contrast, evaluating the performance of GC-DQPSK modulation requires simple bounds or approximate expressions for MQF due to its complicated closed-form and intractability when involved in the computation of AEP [22]- [25]. In [26] and [27], bounds for EP are investigated, while in [28], new lower and upper bounds for EP were proposed, based on which a novel approximation was derived. Despite the good accuracy of the latter's bounds and/or approximation for both MPSK and GC-DQPSK, they remain useless for AEP computation because of their forms' complications.…”

New Accurate Approximation for Average Symbol Error Probability Under κ-μ Shadowed Fading Channel

“…III-B3. Obviously, the relative error corresponding to the proposed approximation outperforms those in [28], except for a short interval, i.e., [11.7, 12.45] where H 2 (γ) is negligible, as outlined in Table II, compared to its values getting for small SNR.…”